DOSEN PROFIL LENGKAP

of roots of rational polynomials, is the field of algebraic numbers. The rationals are a densely ordered set: between any two rationals, there sits another...

The Rationals were an American rock band from Ann Arbor, Michigan. The Rationals formed in 1964 and first recorded a single for a local label, A2 Records...

Rationality is the quality of being guided by or based on reason. In this regard, a person acts rationally if they have a good reason for what they do...

which produces dyadic rationals when measuring fractional amounts of units. The inch is customarily subdivided in dyadic rationals rather than using a decimal...

Gaussian rational field, denoted Q(i), obtained by adjoining the imaginary number i to the field of rationals Q. The field of Gaussian rationals provides...

name of Canadian hip-hop artist Matt Brotzel The Rationals, a former American rock and roll band Rational, a personality classification in the Keirsey Temperament...

The Rational Dress Society was an organisation founded in 1881 in London, part of the movement for Victorian dress reform. It described its purpose thus:...

a rational surface is a surface birationally equivalent to the projective plane, or in other words a rational variety of dimension two. Rational surfaces...

DOORS Rational Performance Tester Rhapsody (modeling) IBM Rational Rose Rational Software Modeler Rational Synergy Rational Unified Process Rational R1000...

field Q(i) of Gaussian rationals is the subfield of C consisting of all numbers of the form a + bi where both a and b are rational numbers: summands of...

The term rational animal (Latin: animal rationale or animal rationabile) refers to a classical definition of humanity or human nature, associated with...

Rational approximation may refer to: Diophantine approximation, the approximation of real numbers by rational numbers Padé approximation, the approximation...

algebraically closed field containing the rationals and so it is called the algebraic closure of the rationals. That the field of algebraic numbers is algebraically...

Bounded rationality is the idea that rationality is limited when individuals make decisions, and under these limitations, rational individuals will select...

containing the integers as a subring is the field of rational numbers. The process of constructing the rationals from the integers can be mimicked to form the...

The principle of rationality (or rationality principle) was coined by Karl R. Popper in his Harvard Lecture of 1963, and published in his book Myth of...

algebraic group is said to be rational if, viewed as a map from the group to the general linear group, it is a rational map of algebraic varieties. Finite...

Rational analysis is a theoretical framework, methodology, and research program in cognitive science that has been developed by John Anderson. The goal...

particularly in the field of algebraic geometry, a scheme X {\displaystyle X} has rational singularities, if it is normal, of finite type over a field of characteristic...

Technological rationality or technical rationality posits that rational decisions to incorporate technological advances into society can, once the technology...

consequence of Cantor's proof that the real numbers are uncountable and the rationals countable, it follows that almost all real numbers are irrational. The...

smallest element among the rationals. If B has a smallest element among the rationals, the cut corresponds to that rational. Otherwise, that cut defines...

algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on rational solutions...

In mathematics, a rational variety is an algebraic variety, over a given field K, which is birationally equivalent to a projective space of some dimension...

Rational fideism is the philosophical view that considers faith to be precursor for any reliable knowledge. Every paradigmatic system, whether one considers...

Rational Recovery (RR) was a commercial vendor of material related to counseling, guidance, and direct instruction for addiction designed as a direct counterpoint...

In U.S. constitutional law, rational basis review is the normal standard of review that courts apply when considering constitutional questions, including...

RationalWiki is an online wiki which is written from a scientific skeptic, secular, and progressive perspective. Its stated goals are to "analyze and refute...

In computer science, more precisely in automata theory, a rational set of a monoid is an element of the minimal class of subsets of this monoid that contains...

In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator...

sometimes used to refer to rationality, although the latter is more about its application. Reasoning involves using more-or-less rational processes of thinking...

integers and rationals. OpenLisp: supports arbitrary precision integer numbers. Perl: The bignum and bigrat pragmas provide BigNum and BigRational support...

A rational agent or rational being is a person or entity that always aims to perform optimal actions based on given premises and information. A rational...

Rational choice modeling refers to the use of decision theory (the theory of rational choice) as a set of guidelines to help understand economic and social...

the binary expansions of the rationals, given by Arnaud Denjoy in 1938. It also maps rational numbers to dyadic rationals, as can be seen by a recursive...

Rational emotive behavior therapy (REBT), previously called rational therapy and rational emotive therapy, is an active-directive, philosophically and...

ESTJs are Guardians whereas ENTJs are Rationals; ISFPs are Artisans whereas INFPs are Idealists; INTPs are Rationals whereas ISTPs are Artisans; and ENFJs...

The concept known as rational irrationality was popularized by economist Bryan Caplan in 2001 to reconcile the widespread existence of irrational behavior...

"sophistry and illusion". Michael Martin argues that atheism is a justified and rational true belief, but offers no extended epistemological justification because...

mathematics, in particular the subfield of algebraic geometry, a rational map or rational mapping is a kind of partial function between algebraic varieties...

Scientific skepticism or rational skepticism (also spelled scepticism), sometimes referred to as skeptical inquiry, is a position in which one questions...

Rational expression may refer to: A mathematical expression that may be rewritten to a rational fraction, an algebraic fraction such that both the numerator...

in 1827. In the 18th century, one group of Dissenters became known as "Rational Dissenters". In many respects they were closer to the Anglicanism of their...

Archive for Rational Mechanics and Analysis rational thermodynamics This disambiguation page lists articles associated with the title Rational mechanics...

"Instrumental rationality" and "value rationality" refer to two types of action identified by sociologist Max Weber. Instrumental rationality is a type of...

Rationalists define rationality to include epistemic rationality (coming to true beliefs about the world) and instrumental rationality (acting in a way to...

is a rational set. A quasi-rational monoid is one for which L is a rational relation: a rational monoid is one for which there is also a rational function...

In mathematics, the rational normal curve is a smooth, rational curve C of degree n in projective n-space Pn. It is a simple example of a projective variety;...

well as the Harry Potter fanfiction Harry Potter and the Methods of Rationality. Yudkowsky's views on the safety challenges future generations of AI...

equations in the integers ⁠ Z {\displaystyle \mathbb {Z} } ⁠ rather than the rationals ⁠ Q . {\displaystyle \mathbb {Q} .} ⁠ For homogeneous polynomial equations...

Decision theory or the theory of rational choice is a branch of probability, economics, and analytic philosophy that uses expected utility and probability...

Ecological rationality is a particular account of practical rationality, which in turn specifies the norms of rational action – what one ought to do in...

bijective mapping between them. The open interval (0, 1) of rationals is order isomorphic to the rationals, since, for example, f ( x ) = 2 x − 1 1 − | 2 x − 1...

rationals", Acta Mathematica, 79: 225–240, doi:10.1007/BF02404697, ISSN 0001-5962, MR 0023854, Zbl 0030.02101 Roth, Klaus Friedrich (1955), "Rational...

Booch's company Rational Software purchasing Ivar Jacobson's Objectory company and merging their model into the UML. At the time Rational and Objectory...

1 over the field Q {\displaystyle \mathbb {Q} } of rational numbers has only finitely many rational points. This was conjectured in 1922 by Louis Mordell...

provides a sense of rational autonomy, simply meaning one rationally possesses the motivation to govern their own life. Rational autonomy entails making...

In economics, the theory of rational inattention deals with the effects of the cost of information acquisition on decision making. For example, when the...

rational number (for example 2 2 {\displaystyle \textstyle {\frac {\sqrt {2}}{2}}} ), or even do not represent any number (for example the rational fraction...

economic man, is the portrayal of humans as agents who are consistently rational and narrowly self-interested, and who pursue their subjectively defined...

Rationality And Society is a peer-reviewed academic journal that publishes papers in the field of sociology. The journal's editor is Andreas Flache (University...

technician Manuel "Mannie" O'Kelly-Davis, political agitator Wyoming Knott, and rational-anarchist Professor Bernardo de la Paz join forces with "Mike," a self-aware...

Rationality: What It Is, Why It Seems Scarce, Why It Matters is a 2021 book written by Canadian-American cognitive scientist Steven Pinker. The book was...

The Rational Unified Process (RUP) is an iterative software development process framework created by the Rational Software Corporation, a division of...

Rational thermodynamics is a school of thought in statistical thermodynamics developed in the 1960s. Its introduction is attributed to Clifford Truesdell...

Rational herding refers to situations in which individuals converge on the same behaviour, belief or choice because doing so is the most reasonable response...

identified as time. Rational motions are defined by rational functions (ratio of two polynomial functions) of time. They produce rational trajectories, and...

In the Platonic, Neopythagorean, Middle Platonic, and Neoplatonic schools of philosophy, the Demiurge (/ˈdɛmi.ɜːrdʒ/) is an artisan-like figure responsible...

whose side lengths are integers. A rational triangle is one whose side lengths are rational numbers; any rational triangle can be rescaled by the lowest...

Rational reconstruction is a philosophical term with several distinct meanings. It is found in the work of Jürgen Habermas and Imre Lakatos. For Habermas...

some set of rationals, and the inf of some other set of rationals.) Thus an Archimedean field is any dense ordered extension of the rationals, in the sense...

In mathematics and computer science, a rational series is a generalisation of the concept of formal power series over a ring to the case when the basic...

In linear algebra, the Frobenius normal form or rational canonical form of a square matrix A with entries in a field F is a canonical form for matrices...

Diophantine geometry, one asks whether there are any rational points (points all of whose coordinates are rationals) or integral points (points all of whose coordinates...

Rational Rose was a development environment for Unified Modeling Language. It integrates with Microsoft Visual Studio .NET and Rational Application Developer...

{\displaystyle x^{2}-2} does not factor over the rationals; its splitting field is the smallest extension of the rationals containing 2 {\displaystyle {\sqrt {2}}}...

to rationality. Arguments may be logical if they are "conducted or assessed according to strict principles of validity", while they are rational according...

Babylonian clay tablets). Univariate algebraic equations over the rationals (i.e., with rational coefficients) have a very long history. Ancient mathematicians...

Dedekind cuts, since that construction starts from an ordered field (the rationals) and then forms the Dedekind-completion of it in a standard way. These...

theorem on rationality for surfaces is a classical result of Max Noether on complex algebraic surfaces, giving a criterion for a rational surface. Let...

theorem, a proof of the torsion conjecture for elliptic curves over the rationals Mazur's control theorem, in number theory Mazur's Conjecture B, a weaker...

The Rational Optimist is a 2010 popular science book by Matt Ridley, author of The Red Queen: Sex and the Evolution of Human Nature. The book primarily...

Communicative rationality or communicative reason (German: kommunikative Rationalität) is a theory or set of theories which describes human rationality as a necessary...

Rational-legal authority, also known as rational authority, legal authority, rational domination, legal domination, or bureaucratic authority, is a form...

Rational expectations is a set of modeling assumptions describing how macroeconomic agents form expectations about the future under uncertainty. Under...

Rational egoism (also called rational selfishness) is the principle that an action is rational if and only if it maximizes one's self-interest. As such...

products of power-sum polynomials: they are a generating set over the rationals, but not over the integers. The power sum symmetric polynomial of degree...

and not necessarily even a unique factorization domain. The Gaussian rationals, denoted Q ( i ) {\displaystyle \mathbb {Q} (i)} (read as " Q {\displaystyle...

Harry Potter and the Methods of Rationality (HPMOR) is a work of Harry Potter fan fiction by Eliezer Yudkowsky published on FanFiction.Net as a serial...

field in the sense that all other ordered fields, such as the rationals, the reals, the rational functions, the Levi-Civita field, the superreal numbers (including...

Rational ignorance is refraining from acquiring knowledge when the supposed cost of educating oneself on an issue exceeds the expected potential benefit...

speaker and co-founder of the Center for Applied Rationality. From 2010 to 2021, she hosted Rationally Speaking, the official podcast of New York City...

Rational Culture (In Portuguese: Cultura Racional) is a Brazilian UFO religion derived from Umbanda, founded in 1935 in the city of Rio de Janeiro by the...

in the math/big package. J provides rational numbers in the base language. For example, 1r3 is one-third. Rationals in J use arbitrary precision integers...

Faith and rationality exist in varying degrees of conflict or compatibility. Rationality is based on reason or facts. Faith is belief in inspiration, revelation...

Rationality and Power: Democracy in Practice is a 1998 book by Bent Flyvbjerg, published by the University of Chicago Press. The book focuses on "the...

contains each positive rational number exactly once, a breadth first search of the tree provides a method of listing all positive rationals that is closely related...

giving an infinite set of rationals, namely all the rationals less than x. We will in effect define x to be the set of rationals smaller than x. To avoid...

game theory, the prisoner's dilemma is a thought experiment involving two rational agents, each of whom can either cooperate for mutual benefit or betray...

missing" from it (inside or at the boundary). For instance, the set of rational numbers is not complete, because e.g. 2 {\displaystyle {\sqrt {2}}} is...

numbers is rationally independent if none of them can be written as a linear combination of the other numbers in the collection with rational coefficients...

as on Christian tradition. Christian theologians use biblical exegesis, rational analysis and argument. Theologians may undertake the study of Christian...

{p+q}{q^{2}}},} which is defined for all rational numbers, with p and q in lowest terms. Then for all nonnegative rationals, we have S ( p / q ) = [ p + q ; p...

of awareness and rationality. Definitions emphasizing this aspect understand motivation as a mostly conscious process of rationally considering the most...

P=c(P)\operatorname {pp} (P).} This shows that every polynomial over the rationals is associated with a unique primitive polynomial over the integers, and...

Rational Youth was a Canadian new wave synth-pop band that was originally active between 1981 and 1986, and at various points up until the end of 2021...

arguments are a set of results showing that agents must satisfy the axioms of rational choice to avoid a kind of self-contradiction called a Dutch book. A Dutch...

Nature of Rationality is 1993 book by the philosopher Robert Nozick in which he explores practical rationality. The Nature of Rationality was first published...

Total Rational! is a Rational Youth compilation album, released (without authorisation from the band) by the Dutch label Rams Horn, who had previously...

De architectura that architecture is an art that can be comprehended rationally. The formulation was taken up and further developed in the architectural...

The RationalPlan suite includes RationalPlan Single, RationalPlan Multi, RationalPlan Viewer, and RationalPlan Server. Combined, the RationalPlan suite...

The paradox of voting, also called Downs' paradox, is that for a rational and egoistic voter (Homo economicus), the costs of voting will normally exceed...

quaternion algebra over the rationals ramifies is always even, and this is equivalent to the quadratic reciprocity law over the rationals. Moreover, the places...

discusses ethics, rationality and personal identity. It is divided into four parts, dedicated to self-defeating theories, rationality and time, personal...

be of the same cardinality. Perhaps even more surprisingly, both the rationals and the irrationals have empty interiors, showing that dense sets need...

us on the level of rational argument, but begin by denouncing all argument; they may forbid their followers to listen to rational argument, because it...

the Rationals, The Solution as well as his solo work. He was born in Ann Arbor, Michigan, United States. Morgan's first band was The Rationals. In the...

Dyson, Freeman J. (1947). "The approximation to algebraic numbers by rationals". Acta Mathematica. 79: 225–240. doi:10.1007/BF02404697. ISSN 0001-5962...

In chemical biology and biomolecular engineering, rational design (RD) is an umbrella term which invites the strategy of creating new molecules with a...

rational reconstruction is a method that allows one to recover a rational number from its value modulo a sufficiently large integer. In the rational reconstruction...

equation with rational coefficients, if it has a rational solution, then this also yields a real solution and a p-adic solution, as the rationals embed in...

subset of the rationals. Including single-precision and double-precision IEEE 754 floats, among others Fixed-point representation of the rationals Integer,...

applied to some strong belief that its adherents are not willing to discuss rationally. This attitude is named as a dogmatic one, or dogmatism, and is often...

refers to the soundness, rationality, and health of the human mind, as opposed to insanity. A person is sane if they are rational. In modern society, the...

like existence, knowledge, mind, reason, language, and value. It is a rational and critical inquiry that reflects on its methods and assumptions. Historically...

statistical modeling (especially process modeling), polynomial functions and rational functions are sometimes used as an empirical technique for curve fitting...

Rational Polynomial Coefficients (RPCs) provide a compact representation of a ground-to-image geometry, allowing photogrammetric processing without requiring...

space. The names rational knot and rational link were coined by John Conway who defined them as arising from numerator closures of rational tangles. This...

software development process. Later development methods, including the Rational Unified Process (RUP) for software, assume that requirements engineering...

et al. (1997) give as an example the partition of the rational numbers into the dyadic rationals and their complement; these two sets are dense in each...

"negative" twist. Often, "rational tangle" refers to a list of numbers representing a simple diagram as described. The fraction of a rational tangle ( a 0 , a...

Rational Synergy is a software tool that provides software configuration management (SCM) capabilities for all artifacts related to software development...

The concept of square can be extended to some other number systems. If rational numbers are included, then a square is the ratio of two square integers...

Rationalist humanism, or rational humanism or rationalistic humanism, is one of the strands of Age of Enlightenment. It had its roots in Renaissance humanism...

science and formal language theory, a regular language (also called a rational language) is a formal language that can be defined by a regular expression...

Rational AG is a German manufacturer and retailer of commercial and industrial kitchen equipment for thermal food preparation. The company is based in...

an objective of the Victorian dress reform movement (also known as the rational dress movement) of the middle and late Victorian era, led by various reformers...

referred to as a simple (or regular) continued fraction. Any positive rational number can be expressed as a finite simple continued fraction, and any...

is called a rational algebraic fraction or simply rational fraction. Rational fractions are also known as rational expressions. A rational fraction f (...

correspond to the restriction of the Thomae function to the dyadic rationals: those rational numbers whose denominators are powers of 2. A natural follow-up...

G_{n}} "knocks out" all of the rationals, leaving behind a compact, closed set E {\displaystyle E} which contains no rationals, and has a measure of more...

heroism, leadership, religious) against two other types of authority: (i) rational-legal authority (modern law, the sovereign state, bureaucracy) and (ii)...

K} , where K {\displaystyle K} is the finite collection of rationals. Since the rationals are countable, we can look at the pointwise limit of these things...

interpretation requires interpreting a speaker's statements in the most rational way possible and, in the case of any argument, considering its best, strongest...

In mathematics, a twisted cubic is a smooth, rational curve C of degree three in projective 3-space P3. It is a fundamental example of a skew curve. It...

of many types of series with rational terms. In particular, it can be used to evaluate hypergeometric series at rational points. Given a series S ( a...

areas are all rational numbers (positive rational solutions of the above equation) are sometimes also called Heronian triangles or rational triangles; in...

schizophrenic number or mock rational number is an irrational number which displays certain characteristics of rational numbers. It is one of the numerous...

providing a unified account of the world, constructed from ideals of rational discourse, monistic physics, and naturalistic ethics. These three ideals...

Taniyama–Shimura conjecture, asserts that every elliptic curve defined over the rational numbers is modular. In the 1950s and 1960s a connection between elliptic...

Simple rational approximation (SRA) is a subset of interpolating methods using rational functions. Especially, SRA interpolates a given function with a...

In mathematics, a rational zeta series is the representation of an arbitrary real number in terms of a series consisting of rational numbers and the Riemann...

become leader and is the source of many innovative ideas. He represents the rational side of humanity. Piggy's asthma, weight, and poor eyesight make him a...

rational numbers nontrivially represents zero. In other words, if the equation Q(x) = 0 has a non-zero real solution, then it has a non-zero rational...

The R1000 was a workstation released in 1985 by Rational Software for the design, documentation, implementation, and maintenance of large software systems...

mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and complex numbers, as well as other algebraic...

1016/S0304-3975(96)00101-6 Calkin, Neil; Wilf, Herbert (2000), "Recounting the rationals" (PDF), American Mathematical Monthly, 107 (4), Mathematical Association...

sociologist Max Weber argued that bureaucracy constitutes the most efficient and rational way in which human activity can be organized and that systematic processes...

beings, that species is a rational animal. So, a human being is a matter-form composite that is organized to be a rational animal. Matter cannot exist...

Sullivan algebra is a commutative differential graded algebra over the rationals Q {\displaystyle \mathbb {Q} } , whose underlying algebra is the free...

s\in R} . The field of fractions of the ring of integers is the field of rationals: Q = Frac ⁡ ( Z ) {\displaystyle \mathbb {Q} =\operatorname {Frac} (\mathbb...

  {\displaystyle ~U_{n}~} is an open set; as its closure contains all rationals (the   p / q   {\displaystyle ~p/q~} from each punctured interval), it...

is characterized by being set on Earth, the primary or real world, or a rational and familiar fictional world with the inclusion of magical elements. The...

nature by walking through walls or vanishing into thin air. The need for a rational explanation for the crime is what drives the protagonist to look beyond...

{\displaystyle |\cdot |} and | ⋅ | ∗ {\displaystyle |\cdot |_{*}} on the rationals are defined to be equivalent if they induce the same topology; this can...

have a general tendency to think that one is better than average. The rational explanation holds that overly positive prior beliefs about one's skills...

reasons. They do not have a finite sum, as Leonhard Euler proved in 1737. As rational numbers, the reciprocals of primes have repeating decimal representations...

The Principles of Extropy, extropian thinking places strong emphasis on rational thinking and on practical optimism. According to More, these principles...

Center for Applied Rationality (CFAR) is a nonprofit organization based in Berkeley, California, that hosts workshops on rationality and cognitive bias...

phenomena and a search for rational explanations of the universe, thereby laying the foundation for scientific inquiry and rational thought in Western philosophy...

centuries to include zero (0), negative numbers such as negative one (−1), rational numbers such as one half ( 1 2 ) {\displaystyle \left({\tfrac {1}{2}}\right)}...

the rationals and the Gaussian rationals embedded as per the place w) is also formally 5-adic. On the other hand, the field of Gaussian rationals is not...

systems for information processing: analytical-rational and intuitive-experiential. The analytical-rational system is deliberate, slow, and logical. The...

k is the function defined by a homogeneous polynomial of degree k. The rational function defined by the quotient of two homogeneous polynomials is a homogeneous...

about how to run the company, if management decisions can point to any rational link to benefiting the corporation as a whole.[citation needed] As of 2025[update]...

{\displaystyle y} is not zero. However, a meaningful factorization for a rational number or a rational function can be obtained by writing it in lowest terms and separately...

on a variety of fields and philosophical branches including ethics, rationality, law, religion, and fairness. The state may pursue justice by operating...

reason, logic, order, or understanding. Among its connotations is that of a rational form of discourse that relies on inductive and deductive reasoning. Aristotle...

Award. He was a very vocal and active figure in furthering progressive and rational social causes. In 1999, he and social activist G. P. Pradhan undertook...

} For example, the Dirichlet function is the indicator function of the rational numbers as a subset of the real numbers. Given an arbitrary set X, the...

of his mother, born in time; completely God, completely human, with a rational soul and human flesh; equal to the Father as regards divinity, less than...

that was founded in 1978. Rhinoceros geometry is based on the non-uniform rational B-spline (NURBS) mathematical model, which focuses on producing mathematically...

the set of natural numbers since the rationals are countable: there is a bijection from the naturals to the rationals. List of paradoxes – List of statements...

The law of rational indices is an empirical law in the field of crystallography concerning crystal structure. The law states that "when referred to three...

Ascential Rational Software's products (Rational bought by IBM in 2003) IBM Rational Application Developer IBM Rational Software Architect IBM Rational System...

If that much is known about the execution of the lottery, it is then rational to accept that some ticket will win. Suppose that an event is considered...

myth) by being critical and generally systematic and by its reliance on rational argument. It involves logical analysis of language and clarification of...

countable set Z × N {\displaystyle \mathbb {Z} \times \mathbb {N} } to the rationals Q {\displaystyle \mathbb {Q} } . Proof: Per definition, every algebraic...

Life: The Rational Economics of an Irrational World is a book by Tim Harford published in 2008 by Random House. Harford argues that rational behavior is...

Rational choice (also termed rationalism) is a prominent framework in international relations scholarship. Rational choice is not a substantive theory...

temperament uses irrational numbers to create a rational system. Just intonation generally relies on rational numbers to generate irrational systems. In the...

philosopher, who conceived it in 1796 as the "science of ideas" to develop a rational system of ideas to oppose the irrational impulses of the mob. In political...

integer, half-integer, and some other rational arguments, but no simple expressions are known for the values at rational points in general. Other fractional...

are given by rational functions rather than polynomials; the map may fail to be defined where the rational functions have poles. A rational map from one...

slower, more deliberative, and more logical. The book delineates rational and non-rational motivations or triggers associated with each type of thinking...

In financial economics, rational pricing is the assumption that asset pricing models reflect the arbitrage-free price of the asset. This assumption is...

A cognitive bias is a systematic pattern of deviation from norm or rationality in judgment. Individuals create their own "subjective reality" from their...

assessing their rationality and potential consequences. The goal of critical thinking is to form a judgment through the application of rational, skeptical...

Horatio epitomizes the early modern fusion of Stoic and Protestant rationality. The name Horatio is a variation of the Latin Horatius. Commentators...

the ring as an example, this section of the Republic considers whether a rational, intelligent person who has no need to fear negative consequences for committing...

behavioral economics, rational addiction is the hypothesis that addictions can be usefully modeled as specific kinds of rational, forward-looking, optimal...

axiomatizes the real number line by some means, a collection extending the rationals and with an apartness relation definable from an asymmetric order structure...

terminology) or "missing points" in the real number line. This contrasts with the rational numbers, whose corresponding number line has a "gap" at each irrational...

magic constants of rational order which are also rational squares. However, there are infinitely many rational triangular numbers, rational generalized pentagonal...

neoclassical economists, refers to economics as the logic of rational action and decision-making, as rational choice between the alternative uses of limited (scarce)...

being rational agents. We owe a duty to rationality by virtue of being rational agents; therefore, rational moral principles apply to all rational agents...

Rational love is love based upon intellect, reason or spirituality rather than natural love which is based upon instinct, intuition or romance. Anthony...

Rational mysticism, which encompasses both rationalism and mysticism, is a term used by scholars, researchers, and other intellectuals, some of whom engage...

shifted away from the book's thematic emphasis on the limitations of human rationality. Solaris chronicles the ultimate futility of attempted communications...

experience, knowledge, and work.[citation needed] Means–end (goal-oriented) rationality is used to precisely calculate that which is necessary to attain a goal...

algebraic topology, a rational homology n {\displaystyle n} -sphere is an n {\displaystyle n} -dimensional manifold with the same rational homology groups as...

IBM Engineering Rhapsody (formerly Rational Rhapsody), a modeling environment based on UML, is a visual development environment for systems engineers and...

though economists argue that sunk costs are no longer relevant to future rational decision-making, people in everyday life often take previous expenditures...

Wikipedia's list of curves are rational and hence have similar rational parameterizations. Rational plane curves are rational curves embedded into P 2 {\displaystyle...

be moral if it is motivated by a sense of duty, and its maxim may be rationally willed a universal, objective law. Central to Kant's theory of the moral...

action among several possible alternative options. It could be either rational or irrational. The decision-making process is a reasoning process based...

Hendrie Show, a radio talk show where he portrayed both himself as a calm, rational host while simultaneously portraying any of several outrageous and offensive...

Protein design is the rational design of new protein molecules to design novel activity, behavior, or purpose, and to advance basic understanding of protein...

In logic, a rational consequence relation is a non-monotonic consequence relation satisfying certain properties listed below. A rational consequence relation...

for pharmaceutical product registration. Harmonisation leads to a more rational use of human, animal and other resources, the elimination of unnecessary...

function 1 Q {\displaystyle \mathbf {1} _{\mathbb {Q} }} of the set of rational numbers Q {\displaystyle \mathbb {Q} } over the set of real numbers R {\displaystyle...

transcendental, meaning that it is not a root of any non-zero polynomial with rational coefficients. To 30 decimal places, the value of e is: 2.718281828459045235360287471352...

singularity, also called simple surface singularity, Kleinian singularity, or rational double point, is an isolated singularity of a complex surface which is...

human rights or international law. Universalism has been influenced by rational theologies such as Unitarianism, and modern-day New Age spiritual doctrines...

specific predictions about international relations, constructivism and rational choice are methodological approaches that focus on certain types of social...

simple check to see if the produced material is rational (that the material's creator was thinking rationally, applying sanity). The point of a sanity test...

It was one of the first biotech firms to use an explicit strategy of rational drug design rather than combinatorial chemistry. It maintains headquarters...

Simon formulated the concept within a novel approach to rationality, which posits that rational choice theory is an unrealistic description of human decision...

endowed with a soul and reason, constructed by the demiurge according to a rational pattern expressed through mathematical principles. Plato describes the...

commensurable if their ratio ⁠a/b⁠ is a rational number; otherwise a and b are called incommensurable. (Recall that a rational number is one that is equivalent...

Every positive rational number is the sum of three positive rational cubes, and there are rationals that are not the sum of two rational cubes. In real...

problem for equations over the rationals remains open. Barry Mazur has conjectured that for any variety over the rationals, the topological closure over...

"missing" its endpoints 0 and 1. The rationals are missing all the irrationals, since any irrational has a sequence of rationals converging to it in R {\displaystyle...

The article describes a situation where a series of small, individually rational decisions can negatively change the context of subsequent choices, even...

Rational Software Modeler (RSM), made by IBM's Rational Software division, is a Unified Modeling Language (UML) 2.0-based visual modeling and design tool...

term used in Islamic philosophy and theology for the intellect or the rational faculty of the soul that connects humans to God. According to Islamic beliefs...

_{c}^{x}R{\left({\textstyle t,{\sqrt {P(t)}}}\right)}\,dt,} where R is a rational function of its two arguments, P is a polynomial of degree 3 or 4 with...

direction of economic change towards growth, stagnation, or decline." Rational and wealth-maximizing individuals lack complete information and have difficulties...

Rational Ritual: Culture, Coordination, and Common Knowledge is a 2001 non-fiction book by Michael Chwe, a professor at UCLA. Mark Zuckerberg, founder...

episode, "A Friend In Need (Part 2)", seeing her as a fully formed but rational warrior, set to follow in Xena's footsteps. The dwarf planet Eris and its...

In behavioural sciences, social rationality is a type of decision strategy used in social contexts, in which a set of simple rules is applied in complex...

Against Empathy: The Case for Rational Compassion is a 2016 book written by psychologist Paul Bloom. The book draws on the distinctions between empathy...

condition and theories about human progress, which seek to give a biological, rational explanation of human behaviour. He founded the not-for-profit Fix The World...

that the mind is born already in the possession of specific knowledge or rational capacity. Tabula rasa is a Latin phrase often translated as clean slate...

arithmetic is about calculations with positive and negative integers. Rational number arithmetic involves operations on fractions of integers. Real number...

governed by rational argument from public evidence". And secondly, that ..."when the evidence is not sufficient to decide from rational argument, whether...

Quranic commentators, placing emphasis on the importance of a logical and rational approach to the Quran. For example, he did not believe it was essential...

(Dynamic Object Oriented Requirements System) (formerly Telelogic DOORS, then Rational DOORS) is a requirements management tool. It is a client–server application...

These blocks are in turn densely ordered with the order type of the rationals. The result follows fairly easily because it is easy to see that the ordering...

day, used philosophy for support, and were among the first to pursue a rational Islamic theology, termed Ilm-al-Kalam (scholastic theology). The teleological...

Rational choice institutionalism (RCI) is a theoretical approach to the study of institutions arguing that actors use institutions to maximize their utility...

ones" have three sexes with fixed gender roles, sexual and social norms: Rationals (or "lefts") are logical and scientific, use he pronouns, and produce...

IBM DevOps Code ClearCase (also known as IBM Rational ClearCase) is a family of computer software tools that supports software configuration management...

and concatenation Roth's theorem – Algebraic numbers are not near many rationals Plastic ratio – Number, approximately 1.3247 Word problem for groups –...

with a price on his head. The film was produced by Franchise Pictures, Rational Packaging and Lansdown Films and was distributed by Morgan Creek Productions...

emerged with the aim of reconciling science and faith, starting from natural rational explanations with the help of Christian revelation. Several thinkers such...

view that the various forms of theism should be examined, countered by rational and scientific arguments, and criticised, especially when they exert strong...

is revered among Alevis for an Islamic understanding that is esoteric, rational and humanistic. He was one of the many figures who flourished in the Sultanate...

imply gaplessness: the rationals do not enjoy the least upper bound property. That means that if one were to partition the rationals into two non-empty sets...

and web security testing and monitoring tools, formerly a part of the Rational Software division of IBM. In July 2019, the product was acquired by HCLTech...

receive from the voter's preferred policy being enacted, such that it is rational for an “altruistic” citizen, who receives utility from helping others,...

_{i}} over the rationals has degree at most d. In the special case when β0 = 0 and all the β j {\displaystyle \beta _{j}} are rational integers, the rightmost...

of names. The problem-solving view has been called "the rational model," "technical rationality" and "the reason-centric perspective." The alternative...

{\displaystyle Q(x)} ⁠ , their quotient is called a rational expression or simply rational fraction. A rational expression P ( x ) Q ( x ) {\textstyle {\frac...

participant has superrationality (or renormalized rationality) if the participant is perfectly rational (maximizes utility) but assumes that all other participants...

He lets "φν denote any sequence of rationals in [0, 1]." Cantor lets φν denote a sequence enumerating the rationals in [0, 1], which is the kind of sequence...

ontological definition of the person as "an individual substance of a rational nature" (Boethius). The self-consciousness-based definition of the person...

and the brother of Leonardo, Raphael, and Michelangelo. He is the most rational and logical of the turtles, and second-in-command of the team. Donatello...

stories. His fantasy includes the series The Magic Goes Away, works of rational fantasy dealing with magic as a non-renewable resource. Niven was born...

philosophical movement that emerged in the early 19th century, emphasizing the non-rational dimension of human life, and criticising rationalism. As they reject logic...

example, any rational function on the complex plane can be extended to a holomorphic function on the Riemann sphere, with the poles of the rational function...

that belong to kn are said k-rational or rational over k. In the common case where k is the field of real numbers, a k-rational point is called a real point...

have higher rates. Rational suicide is the reasoned taking of one's own life. However, some consider suicide as never being rational. Euthanasia and assisted...

the quadratic algebraic numbers and the rational numbers, and between the rationals and the dyadic rationals. Any binary relation R is said to be dense...

Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. In more abstract terms, arithmetic geometry...

In mathematics, the rational sieve is a general algorithm for factoring integers into prime factors. It is a special case of the general number field sieve...

logic who consider that logical laws can be regarded as constitutive of rational thought, they too reject the old view of logic as the "three laws". The...

map extends to the ring of 2-adic integers, which contains the ring of rationals with odd denominators as a subring. When using the "shortcut" definition...

restrict this to the collection of all open balls with rational radii and whose centers have rational coordinates. This restricted collection is countable...

consciousness: two perceiving or non-rational functions (Sensation and Intuition), and two judging or rational functions (Thinking and Feeling). These...

contrast to other prominent IR approaches and theories (such as realism and rational choice), constructivists see identities and interests of actors as socially...

field, it is sufficient that f is an irreducible polynomial over the rationals. Similarly, one may define the ring of integers O Q [ r ] {\textstyle...

Rational depression is reason-guided psychological depression. It can arise from adverse life circumstances. Such depression may not be responsive to traditional...

problem in mathematics Is there a dense set of points in the plane at rational distances from each other? More unsolved problems in mathematics In mathematics...

theories of organizations initially took a rational perspective and have since become more diverse. A rational organization system has two significant parts:...

subgenre of gothic fiction. Elements specific to American Gothic include: rationality versus the irrational, puritanism, guilt, the uncanny (das Unheimliche)...

contradiction and require calculus. The degree to which π can be approximated by rational numbers (called the irrationality measure) is not precisely known; estimates...

justifies beliefs or what determines whether holding a certain belief is rational. This is only possible if the evidence is possessed by the person, which...

Apollo, son of Leto, is the god of the sun, art, plague and disease, of rational thinking and order, and appeals to logic, prudence and purity and stands...

efficiency-oriented procedures grounded in scientific methods and instrumental rationality. In a weaker sense, the term refers to hybrid models that delegate specific...

less disturbed states produced by other types of hallucinogens, where rational thought is better preserved (including the ability to distinguish hallucinations...

on discussion of cognitive biases, philosophy, psychology, economics, rationality, and artificial intelligence, among other topics. It is associated with...

rational sequence topology is an example of a topology given to the set R of real numbers. For each irrational number x take a sequence of rational numbers...

In arithmetic geometry, the uniform boundedness conjecture for rational points asserts that for a given number field K {\displaystyle K} and a positive...

conscious thought of it, and by the tale of Buridan's ass, a paradox of rational decision-making with equal options. In Shakespeare's Hamlet, the main character...

Max Weber, in "Politics as Vocation", are traditional, charismatic, and rational-legal: Traditional legitimacy derives from societal custom and habit that...

the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator...

uncertainty. It postulates that rational agents maximize utility, meaning the subjective desirability of their actions. Rational choice theory, a cornerstone...

school of systematic theology (kalām); Abu Hanifa emphasized the use of rationality and theological rationalism regarding the interpretation of the sacred...

float, the inclusion of rationals inside a complex number, though clearly permissible, implicitly coerces them from rationals into floats or ints, even...

of behavioral relations. It is now an umbrella term for the science of rational decision making in humans, animals, and computers. Modern game theory began...

holds between three rationals A, B, and N if and only if N is a positive integer and A=BN is definable in the arithmetic of rationals." Hilbert's tenth...

completion of the set of rational numbers. A real number is defined to be a Dedekind cut of rationals: a non-empty set of rationals that is closed downward...

than a quotient and a remainder, the natural numbers must be extended to rational numbers or real numbers. In these enlarged number systems, division is...

ultimately derives is one in which Cicero proposes that pleasure be obtained rationally rather than impulsively. The relevant sections as printed in the source...

Rational behavior therapy (RBT) is a form of cognitive behavioral therapy developed by psychiatrist Maxie Clarence Maultsby Jr., a professor at the Medical...

The Foundation for Rational Economics and Education (FREE) is an American libertarian organization. It was founded in 1976 by U.S. congressman Ron Paul...

The Rational Response Squad (RRS) is an atheist activist group that confronts what it considers to be irrational claims made by theists, particularly Christians...

group over a cyclotomic extension of the rationals. (More precisely, over the cyclotomic extension of the rationals generated by the values of the irreducible...

rationality in the 1950s as a middle way between the rational actor model and bounded rationality, as both long term, goal-driven policy rationality and...

other hand, would treat of the intercourse between two rational beings who, because they are rational, ought to think in common, but who, as soon as they...

first mathematician (1986) to show that some elliptic curves over the rationals have finite Tate–Shafarevich groups. It is widely believed that these...

for separating the beautiful and the sublime into their own respective rational categories. It attracted the attention of prominent thinkers such as Denis...

phenomena and a search for rational explanations of the universe, thereby laying the foundation for scientific inquiry and rational thought in Western philosophy...

question the legitimacy of the Enlightenment account of progress and rationality. Critics allege that its premises lead to a nihilistic form of relativism...

systematics, is a discipline of Christian theology that formulates an orderly, rational, and coherent account of the doctrines of the Christian faith. It addresses...

integrable, it is not in general Riemann integrable. For example, order the rationals in [ 0 , 1 ] {\displaystyle [0,1]} , and let f n {\displaystyle f_{n}}...

The concept of Ford circles can be generalized from the rational numbers to the Gaussian rationals, giving Ford spheres. In this construction, the complex...

Hitchings and Sir James Black for their use of innovative methods of rational drug design for the development of new drugs. This new method focused on...

Temptation ‘Bout To Get Me was subsequently covered by Billy Stewart, The Rationals, and The Rascals recorded it for their 1969 album “See”. Subsequent records...

pattern closes if the frequencies are whole number ratios i.e. ⁠a/b⁠ is rational. Another simple Lissajous figure is the parabola (⁠b/a⁠ = 2, δ = ⁠π/4⁠)...

ratios are a more general family of objects, called rational fractions, rational expressions, or rational functions, depending on context. This is analogous...

argues that Jesus had a human body and sensitive soul, but not a human rational mind, the Divine Logos taking the place of the latter. It was deemed heretical...

theoretical explanations of stock market bubbles have suggested that they are rational, intrinsic, and contagious. Historically, early stock market bubbles and...

of the natural numbers in the integers, the integers in the rational numbers, the rational numbers in the real numbers, and the real numbers in the complex...

g., 5.123144144144144... = 5.123144). An infinite decimal represents a rational number, the quotient of two integers, if and only if it is a repeating...

mathematics the elliptic rational functions are a sequence of rational functions with real coefficients. Elliptic rational functions are extensively...

In mathematics, a rational normal scroll is a ruled surface of degree n in projective space of dimension n + 1. Here "rational" means birational to projective...

The Archive for Rational Mechanics and Analysis is a scientific journal that is devoted to research in mechanics as a deductive, mathematical science....

unique among the surviving Egyptian medical papyri because it presents a rational and scientific approach to medicine in ancient Egypt and avoids prescribing...

assume U is rational. Since S is non-empty, we can choose a rational number L such that L < s for some s in S. Now define sequences of rationals (un) and...

as public economics, behavioural economics, rationality, justice, history of economic thought, rational choice, the appraisal of economic outcomes, institutions...

theory, a discipline within the mathematical theory of probability, a rational arrival process (RAP) is a mathematical model for the time between job...

of philosophy at the City College of New York, former co-host of the Rationally Speaking Podcast, and former editor in chief for the online magazine Scientia...

The Rational was a British car built between 1901 and 1906 in Royston, Hertfordshire. It was an 10 hp light car, with a 2281 cc, two-cylinder engine, it...

groups of people came together to form states as a result of some shared rational interest. The theories largely focus on the development of agriculture...

Intellectualization may accompany, but is different from, rationalization, the pseudo-rational justification of irrational acts. Intellectualization was among the first...

points on elliptic curves over the rationals. He showed that there are infinitely many elliptic curves over the rationals with the following torsion groups:...

explained (particularly by Daniel Kahneman) by reference to a 'bounded rationality' – in other words, that most judgments are made using fast acting heuristics...

importance of the lower brain centers in the process, which can lead the rational, accounting brain to conclude (in John Cleese's words) that "this falling...

approximated well by certain rationals; specifically, the convergents of the continued fraction are the best approximations by rational numbers having denominators...

paranormal forces, but rather as a real-world pitfall of knitting that has rational explanations. Several plausible mechanisms for the sweater curse have been...

subintervals, each partition contains at least one rational and at least one irrational number, because rationals and irrationals are both dense in the reals...

American politics in the 19th century. It was initially known as the Lodge of Rational Knights (Spanish: Logia de los Caballeros Racionales). Its initial purposes...

workflow—such as UNICOM System Architect for enterprise architecture, and Rational Team Concert for DevOps. Integrations to these and a variety of other tools...

expression (shortened as regex or regexp), sometimes referred to as a rational expression, is a sequence of characters that specifies a match pattern...

which raises the cost of noncompliance Some call the school of thought rational functionalism instead of liberal institutionalism. Liberal institutionalism...

[0,1]} . The Dirichlet function, which is the indicator function for rationals, is a bounded function that is not Riemann integrable. The Cantor function...

intellectual or academic situations, it is considered a systematic and rational form of abstract thinking about a phenomenon, or the conclusions derived...

The Myth of the Rational Voter: Why Democracies Choose Bad Policies is a 2007 book by the economist Bryan Caplan, in which the author challenges the idea...

algebraic topology, a rational homotopy n {\displaystyle n} -sphere is an n {\displaystyle n} -dimensional manifold with the same rational homotopy groups as...

stressed the urgent need to transform stagnant Arab society utilizing rational thought and radical modification of the methods of thinking and acting...

a 2015 study, researchers discovered that familiarity can overpower rationality and that repetitively hearing that a certain statement is wrong can paradoxically...

simple perceptual cues or principles, for instance the principle of rationality, which holds that context-sensitive, goal-directed efficient actions...

argument in The Rational Peasant: The Political Economy of Rural Society in Vietnam. His theory is based on the figure of a hyper rational peasant that bases...

annihilation of both the attacker and the defender. It is based on the theory of rational deterrence, which holds that the threat of using strong weapons against...

(conic section) Directrix (ellipse) Directrix (generatrix) Directrix (rational normal scroll) Directrix is a spaceship in the Lensman series of novels...

with the classical four temperaments: SP (Artisan), SJ (Guardian), NT (Rational), and NF (Idealist). SP (ISTP, ISFP, ESTP, ESFP): Called the Dionysian...

June 2004. Formerly privately owned by Tiltware, LLC and later by the Rational Entertainment Group, the site was acquired by The Stars Group (then known...

religious), traditional authority (patriarchs, patrimonialism, feudalism) and rational-legal authority (modern law and state, bureaucracy). These three types...

Each closed set is an Fσ set. The set Q {\displaystyle \mathbb {Q} } of rationals is an Fσ set in R {\displaystyle \mathbb {R} } . More generally, any countable...

closely for the liking of protagonist Lemuel Gulliver. He finds the calm and rational society of intelligent horses, the Houyhnhnms, greatly preferable. The...

2017) was a British philosopher who specialised in personal identity, rationality, and ethics. He is widely considered one of the most important and influential...

can be repeated at any dyadic rational, thus ensuring continuity at those points. Real numbers that are not dyadic rationals have only one, unique binary...

facts. They operate under the assumption that the behavior in question is rational to some extent. Thus an explanation of why the subject removed his coat...

plan for a city that has been conceived in accordance with a particular rational or moral objective. The "ideal" nature of such a city may encompass the...

two equivalent ways, either by extending the rational powers to reals by continuity (§ Limits of rational exponents, below), or in terms of the logarithm...

social authority into three distinct forms: charismatic, traditional, and rational-legal. He was also a key proponent of methodological antipositivism, arguing...

Smith, formerly of the MC5 – guitar, vocals Scott Morgan, formerly of The Rationals, a soul-influenced Detroit band of the 1960s – guitar, vocals Gary Rasmussen...

non-zero algebraic number; then {α} is a linearly independent set over the rationals, and therefore by the first formulation of the theorem {eα} is an algebraically...

available to compute the square root digit by digit, or using Taylor series. Rational approximations of square roots may be calculated using continued fraction...

spiritual perceptions, or clairvoyance, but not yet of rational thought; more recently, rationality has been developed at the cost of spiritual perception...

l-ʿaql aw mardhūla, lit. 'A Critical Study of Indian Doctrines, Whether Rationally Acceptable or Not'), also known by the shortened title Kitab al-Hind,...

conceptions about what it means for something to be rational. According to one view, a mental state is rational if it is based on or responsive to good reasons...

Commerce Clause should be considered in the context of rational basis review. The idea behind rational basis review is that the judiciary must show deference...

plain, rational language of the political treatise with the poetic, passionate language of sensibility to demonstrate that one can combine rationality and...

extension is a simple extension. For a field of characteristic 0 such as the rationals, this means all finite extensions are simple. A field extension L/K is...

non-rational cognitive processes such as loss aversion, in which losses comparative to gains are weighed to a greater extent. Further non-rational cognitive...

subconsciously generates a feeling of unease and confusion which prevents rational consideration of the text in which it appears. The word has been used in...

Sleeping Beauty paradox, is a puzzle in decision theory in which an ideally rational epistemic agent is told she will be awoken from sleep either once or twice...

Whose Justice? Which Rationality? is a 1988 book of moral philosophy by the Scottish philosopher Alasdair MacIntyre. In the book, MacIntyre argues that...

of production. This approach has often been justified by appealing to rational choice theory. Neoclassical economics is the dominant approach to microeconomics...

System Architect (and all other Telelogic products) in the Rational division, named after Rational Software, which it acquired in 2003. On January 1, 2016...

24, 2007) was an American psychologist and psychotherapist who founded rational emotive behavior therapy (REBT). He held MA and PhD degrees in clinical...

"what ought to be"; between economic theory and applied economics; between rational and behavioural economics; and between mainstream economics and heterodox...

The Gestures: "Run, Run, Run" (Dale Menten) (1964, No. 44) (Soma) The Rationals: "I Need You" (Ray Davies) (1967, Uncharted) (A-Square) The Humane Society:...

knowledge, attention, and cognitive resources. Usually people do not think rationally or cautiously, but use cognitive shortcuts to make inferences and form...

1994 book by neuroscientist António Damásio describing the physiology of rational thought and decision, and how the faculties could have evolved through...

Rational economic exchange also called goods exchange economy is an economic transaction where goods or services are transferred from the provider for...

linked to totally ramified primes, as follows: if a field extension of the rationals is generated by the root of a polynomial that is Eisenstein at p then...

Software to form Pure Atria Software, which in turn was later acquired by Rational Software, which in turn was acquired by IBM, and then divested to UNICOM...

based on establishing seemingly rational propositions for organizing society and convincing others of their rationality and/or desirability. It also contrasts...

rapidly expanding Pure Atria. In late 1996, Pure Atria announced that Rational Software would acquire it in an $850 million stock swap in what was then...

mental states are rationally evaluable: they are either rational or irrational depending on whether they obey the norms of rationality. But other states...

of warrant (a proper justification for holding a belief), knowledge, rationality, and probability, among others. Debates surrounding epistemic justification...

understanding is more highly valued than belief, and processes are oriented toward rational goals, as opposed to traditional society, in which "the world remains a...

between societies in two predominant dimensions: traditional versus secular-rational values on the vertical y-axis and survival versus self-expression values...

over fields of interest in algebraic number theory, such as the field of rational numbers, number fields, finite fields, function fields, and p-adic fields...

of critical theory and pragmatism. His work addressed communicative rationality and the public sphere. He held professorships at Heidelberg University...

of the world that embraces both the rational and the romantic, and that he seeks to demonstrate that rationality and Zen-like "being in the moment" can...

The rational planning model is a model of the planning process involving a number of rational actions or steps. Taylor (1998) outlines five steps, as...

articles (on Conservapedia) and instead started their own website, RationalWiki." RationalWiki's self-stated purpose is to analyze and refute "pseudoscience"...

obtains R or C, if it is non-Archimedean and lies over a prime p of the rationals, one obtains a finite extension K w / Q p : {\displaystyle K_{w}/\mathbf...

Mike Devlin is an US-based entrepreneur who co-founded Rational Software Corporation, a software development company based in Lexington, Massachusetts...

numbers: typically 0 (zero) and 1 (one). A binary number may also refer to a rational number that has a finite representation in the binary numeral system, that...

more generally, CM fields. Any number field that is Galois over the rationals must be either totally real or totally imaginary. Section 13.1 of Alaca...

Aristotle's theory of the "three souls (psyches)" (vegetal, animal, and rational) would rule the field of psychology until the 19th century. Prior to Aristotle...

making them less tractable than disagreements about empirical facts. Rational arguments can make a normative theory more plausible or compelling but...

Schumpeter contributed the essay "Rationality in Economics", and Parsons submitted the paper "The Role of Rationality in Social Action" for a general discussion...

rational, especially because according to Gauss's digamma theorem, it is possible to do so for the closely related digamma function at every rational...

Szado, Edward (2011). "Defining Speculation: The First Step toward a Rational Dialogue". The Journal of Alternative Investments. 14. CAIA Association:...

us on the level of rational argument, but begin by denouncing all argument; they may forbid their followers to listen to rational argument, because it...

Logical Intuition, or mathematical intuition or rational intuition, is a series of instinctive foresight, know-how, and savviness often associated with...

all of reality is ultimately rational, logic is not merely about reasoning or argument but rather is also the rational, structural core of all of reality...

information or opinions. Many Islamic scholars have used philosophical and rational arguments to prove the existence of God. For example, Ibn Rushd, a 12th-century...

thus more realistic. The paper "'Lavender Town Syndrome' Creepypasta: A Rational Narration of the Supernatural" described the creepypastas as being used...

for connection; for women, this means developing logos, or reason and rationality. A therapist's empathetic countertransference can reveal that logos and/or...

methods of therapy and aetiology and the use of empiricism, logic, and rationality in diagnosis, prognosis and therapy. The text contains a list of medical...

not the root of a non-zero polynomial with integer (or, equivalently, rational) coefficients. The best-known transcendental numbers are π and e. The quality...

makers and for institutional traders to assess their positions and make rational decisions. On the New York Stock Exchange (NYSE), one type of trading curb...

an example: Since only man [human] is rational. And no woman is a man [male]. Therefore, no woman is rational. The first instance of "man" implies the...

of arbitrary logical propositions. The Dutch book arguments show that rational agents must make bets which are in proportion with a subjective measure...

subjugation and views Christian theology as a theology of liberation: "a rational study of the being of God in the world in light of the existential situation...

considering moral sense theory to be a species of intuitionism. (see the Rational intuition versus moral sense section of this article for further discussion)...

{Q} (i)} of Gaussian rationals, consisting of complex numbers whose real and imaginary parts are rational numbers. Like the rational integers, Z [ i ] {\displaystyle...

tree is called special if there is a function f from the tree to the rationals so that f(x) < f(y) whenever x < y. Martin's axiom MA( ℵ 1 {\displaystyle...

economist. He is "the father of the rational expectations revolution in economics", primarily due to his article "Rational Expectations and the Theory of Price...

be stated for n-connected simplicial sets satisfying the Kan condition. Rational Hurewicz theorem: Let X be a simply connected topological space with π...

is closer, it dies of both hunger and thirst since it cannot make any rational decision between the hay and water. A common variant of the paradox substitutes...

of Q ( ω ) {\displaystyle \mathbb {Q} (\omega )} over the field of the rationals. The rules of exponentiation imply that the composition of two such automorphisms...

rational numbers. Here the identity element is 1, as opposed to groups under addition where the identity is typically 0. Note that with the rationals...

within organizations and he is best known for the theories of "bounded rationality" and "satisficing". He and Allen Newell received the ACM Turing Award...

methodology and utilize analytical philosophy, and some of them favor rational choice theory, game theory and methodological individualism (the doctrine...

and songwriter with the band Rational Youth, and previously The Normals and Heaven Seventeen. Howe was a member of Rational Youth from 1981 to 1986 and...

gamble regarding the belief in the existence of God. Pascal contends that a rational person should adopt a lifestyle consistent with the existence of God and...

focused on epistemology, ethics (especially on ethical intuitionism), rationality and the theory of action. He is O'Brien Professor of Philosophy at the...

criminal, not acted as a positive influence on the world. They conclude that rational ethics can lead to a fully expressed ethical life, while religious prohibitions...

The whole system is largely irrational since though individuals may make rational decisions, the ultimate systemic goals are not. The system continues to...

subject to similar innate impulses but capable of bringing them under rational control . Birds that breed in colonies such as gulls are widely seen to...

trivially a rational number. The set of all rational numbers, often referred to as "the rationals", the field of rationals or the field of rational numbers...

practices such as this cause greater demand than if consumers were perfectly rational. Psychological pricing is one cause of price points. According to a 1997...

integers. However, it can be approximated arbitrarily closely by such rational numbers. Particularly good approximations are the integer solutions of...

rationality. Irrationality often has a negative connotation, as thinking and actions that are less useful or more illogical than other more rational alternatives...

2006. In 2013, the staff of Loudwire included the main riff in the song "Rational Gaze" in their list of "the 10 Best Metal Riffs of the 2000s". The songs...

into two types. The Gesellschaft is associated with modern society and rational self-interest, which weakens the traditional bonds of family and local...

{\displaystyle r} is not a rational number, irrational power functions are not well defined for negative bases. In addition, as rational powers of −1 with even...

and is not considered as repeating. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating....

according to which pacifism and non-violence have both a scriptural and rational basis for Christians, and affirms that any form of violence is incompatible...

linear algebra and Gröbner basis algorithms over the integers and the rational numbers. As posted on Fidonet in the 1980s and archived at Rosetta Code...

traditionally encompasses three major strands: sociological institutionalism, rational choice institutionalism, and historical institutionalism. New institutionalism...

other living being harms or degrades its own class. But man, said to be a rational living being, does these evils. The differences, hatred, enmity, degradation...

this stance is perfectly rational.[citation needed] Most of his attack is directed against the common conception of rationality, which he believes is badly...

In the last example, the supremum of a set of rationals is irrational, which means that the rationals are incomplete. One basic property of the supremum...

authors. For Christian thinkers, the daimonic was associated with non-rational divine inspiration and, due to its lack of predictability, was considered...

objective truth, challenging the very notion of pure objectivity and rationality by arguing that knowledge is shaped by power relations and social context...

interests. The realist framework further assumes that states act as unitary, rational actors, where central decision makers in the state apparatus ultimately...

society. The idea of cultural and legislative systems relying on this rational egoism is what the protagonist despises. The Underground Man embraces this...

reciprocals of every real number are real, reciprocals of every rational number are rational, and reciprocals of every complex number are complex. The property...

(2006). "The rationality of animal memory: Complex caching strategies of western scrub jays". In Hurley, Susan & Nudds, Matthew (eds.). Rational Animals?...

group. The integers and the rational numbers have rank one, as well as every nonzero additive subgroup of the rationals. On the other hand, the multiplicative...

determining the coefficients when performing the partial-fraction expansion of a rational function in the case of linear factors. Separation of a fractional algebraic...

impractical to use rational subgroups. The chart is necessary in the following situations: Where automation allows inspection of each unit, so rational subgrouping...

Governing (Rulers or Philosopher Kings) – those who are intelligent, rational, self-controlled, in love with wisdom, well suited to make decisions for...

arbitrary number fields and more general cubic equations. For curves over the rationals, the generalization says that, for a nonsingular cubic curve whose Weierstrass...

that perfectly rational players playing in such a game should not guess 0 unless they know that all other players are perfectly rational as well, and that...

movement is best understood as a manifestation of the modern demand for rationality and freedom. It originated in Kant's attempt to reconcile the empiricism...

Flesh & the Devil: An Enquiry into the Future of the Three Enemies of the Rational Soul (1929) Jonathan Cape. Scholar Robert Scholes calls this a "book of...

integers from the natural numbers, of the rational numbers from the integers, of the real numbers from the rational numbers, and of polynomial rings from...

variables and having rational number coefficients admit a common specialization of a proper subset of the variables to rational numbers such that all...

analogy, the Romer dissent reasoned that: If it is rational to criminalize the conduct, surely it is rational to deny special favor and protection to those...

where actions are calculated for self-interest and personal gain. People's rational behaviors are aimed directly at benefiting themselves. Since it is driven...

Perspectival realism Platonic realism Pluralistic realism Quasi-realism Rational realism Realistic monism Realistic rationalism Referential realism Relational...

turned to new classical macroeconomics heavily based on the concept of rational expectations. The freshwater–saltwater distinction is largely antiquated...

+ 1 semigroup: The 3x + 1 semigroup S equals the set of all positive rationals ⁠a/b⁠ in lowest terms having the property that b ≢ 0 (mod 3). In particular...

cognitive science, is an approach to cognitive science concerned with the rational analysis of cognition through the use of Bayesian inference and cognitive...

thinkers to deduce a universal rational morality independent of teleology, whose failure led to the rejection of moral rationality altogether by successors...

In epistemology, evidence is what justifies beliefs or what makes it rational to hold a certain doxastic attitude. For example, a perceptual experience...

inheres the interrelated paradigms of general equilibrium asset pricing and rational asset pricing, the latter corresponding to risk neutral pricing. Investment...

notably in her essay Il cielo mistico (The Mystic Heaven). She saw the rational contemplation of God as a complement to prayer and contemplation of the...

masculinity (rationality, philosophy) and femininity (intuition, poetry), and that the rise of philosophy in Socrates' time has led to rationality and scientific...

Philip Gibbs found sets of six positive rationals with the property. It is not known whether any larger rational diophantine m-tuples exist or even if there...

Non-uniform rational basis spline (NURBS) is a mathematical model using basis splines (B-splines) that is commonly used in computer graphics for representing...

Herbert A. Simon sees economic decision-making as a vain attempt to be rational. Simon claimed (in 1947 and 1957) that if a complete analysis is to be...

group is a group that is an extension of the absolute Galois group of the rationals by the Serre group. It was introduced by Langlands (1977) using an observation...

charge of emotions, and the neocortex is responsible for objective or rational thoughts. Since the 1970s, the concept of the triune brain has been subject...

a proper subset of the rationals, which themselves form a proper subset of the reals, so intuitively, there are more rational numbers than integers and...

"greater than") 0. It is less than all positive rational numbers, and greater than all negative rationals. Games other than {0 | 0} may have value ∗. For...

repeating term. The rational numbers Q {\displaystyle \mathbb {Q} } are not complete (for the usual distance): There are sequences of rationals that converge...

The Myth of the Framework: In Defence of Science and Rationality is a 1994 collection of essays and lectures by philosopher Karl Popper, edited by Mark...

pointed out that the leading/supporting roles have "no set rules, no general rational, just vibes" that may stem from racial, social, or gender identity bias...

polynomial-time algorithms for factorizing polynomials with rational coefficients, for finding simultaneous rational approximations to real numbers, and for solving...

theory and economics to describe a threat in a sequential game that a rational player would not actually carry out, because it would not be in his best...

Islam. According to Shia Muslim theologians, infallibility is considered a rational and necessary precondition for spiritual and religious guidance. They argue...

the Soviet Union into thirteen European and eight Asiatic oblasts, using rational economic planning rather than "the vestiges of lost sovereign rights"....

conjecture about the transcendence degree of certain field extensions of the rational numbers Q {\displaystyle \mathbb {Q} } , which would establish the transcendence...

from each other. The value of an expression of this type is a positive rational number a b {\displaystyle {\tfrac {a}{b}}} ; for instance the Egyptian...

how to lead a good life. Ideally, this would force participants acting rationally to adopt an "initial agreement" on the principles impartially. In Rawls's...

of existential questions and dilemmas. Theatre of the absurd rejects rationality, embracing the inevitability of plunging into the depths of the human...

tradition is the one that relates to rationality. It is also related to the works of Max Weber (see theories of rationality), and were popularized and redefined...

same time will that it should become a universal law." According to Kant, rational beings occupy a special place in creation, and morality can be summed up...