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78 relations: Alfred North Whitehead, Alfred Tarski, Arity, Augustus De Morgan, Beatrice Wood, Bertrand Russell, Binary relation, Boolean domain, Boolean-valued function, Cartesian product, Characteristic function (probability theory), Charles Sanders Peirce, Clarence Irving Lewis, Comprehension (logic), Computer science, Correspondence (mathematics), Dimension, Divisor, Element (mathematics), Equality (mathematics), Extension (semantics), Finitary, Friedrich Engels, Georg Cantor, Gottlob Frege, Henri-Pierre Roché, Hypergraph, Incidence structure, Indicator function, Inequality (mathematics), Integer, Intension, Internet Archive, Interpretation (logic), John Lucas (philosopher), Karl Marx, List of Nobel laureates, Logic, Logical matrix, Marcel Duchamp, Mathematical induction, Mathematical logic, Mathematical object, Mathematics, Model theory, Nicolas Bourbaki, Nobel Prize, Order theory, Partially ordered set, Patrick Suppes, ..., Paul Halmos, Predicate (mathematical logic), Principia Mathematica, Projection (set theory), Property (philosophy), Queen Victoria, Reflexive relation, Relation algebra, Relational algebra, Relational database, Relational model, Richard Dedekind, Roger Maddux, Roland Fraïssé, Rudolf Carnap, Sequence, Set (mathematics), Set theory, Sign (mathematics), Sign relation, Stanislaw Ulam, Subset, Ternary relation, The Principles of Mathematics, Transitive relation, Truth value, Tuple, William Lawvere. Expand index (28 more) »
Alfred North Whitehead
Alfred North Whitehead (15 February 1861 – 30 December 1947) was an English mathematician and philosopher.
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Alfred Tarski
Alfred Tarski (January 14, 1901 – October 26, 1983), born Alfred Teitelbaum,School of Mathematics and Statistics, University of St Andrews,, School of Mathematics and Statistics, University of St Andrews.
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Arity
In logic, mathematics, and computer science, the arity of a function or operation is the number of arguments or operands that the function takes.
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Augustus De Morgan
Augustus De Morgan (27 June 1806 – 18 March 1871) was a British mathematician and logician.
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Beatrice Wood
Beatrice Wood (March 3, 1893 – March 12, 1998) was an American artist and studio potter involved in the Avant Garde movement in the United States; she founded The Blind Man magazine in New York City with French artist Marcel Duchamp and writer Henri-Pierre Roché in 1917.
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Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, historian, writer, social critic, political activist, and Nobel laureate.
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Binary relation
In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.
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Boolean domain
In mathematics and abstract algebra, a Boolean domain is a set consisting of exactly two elements whose interpretations include false and true.
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Boolean-valued function
A Boolean-valued function (sometimes called a predicate or a proposition) is a function of the type f: X → B, where X is an arbitrary set and where B is a Boolean domain, i.e. a generic two-element set, (for example B.
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Cartesian product
In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.
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Characteristic function (probability theory)
In probability theory and statistics, the characteristic function of any real-valued random variable completely defines its probability distribution.
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Charles Sanders Peirce
Charles Sanders Peirce ("purse"; 10 September 1839 – 19 April 1914) was an American philosopher, logician, mathematician, and scientist who is sometimes known as "the father of pragmatism".
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Clarence Irving Lewis
Clarence Irving Lewis (April 12, 1883 – February 3, 1964), usually cited as C. I. Lewis, was an American academic philosopher and the founder of conceptual pragmatism.
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Comprehension (logic)
In logic, the comprehension of an object is the totality of intensions, that is, attributes, characters, marks, properties, or qualities, that the object possesses, or else the totality of intensions that are pertinent to the context of a given discussion.
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Computer science
Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.
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Correspondence (mathematics)
In mathematics and mathematical economics, correspondence is a term with several related but distinct meanings.
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Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
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Divisor
In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.
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Element (mathematics)
In mathematics, an element, or member, of a set is any one of the distinct objects that make up that set.
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Equality (mathematics)
In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
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Extension (semantics)
In any of several studies that treat the use of signs—for example, in linguistics, logic, mathematics, semantics, and semiotics—the extension of a concept, idea, or sign consists of the things to which it applies, in contrast with its comprehension or intension, which consists very roughly of the ideas, properties, or corresponding signs that are implied or suggested by the concept in question.
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Finitary
In mathematics or logic, a finitary operation is an operation of finite arity, that is an operation that takes a finite number of input values.
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Friedrich Engels
Friedrich Engels (. Random House Webster's Unabridged Dictionary.;, sometimes anglicised Frederick Engels; 28 November 1820 – 5 August 1895) was a German philosopher, social scientist, journalist and businessman.
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Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor (– January 6, 1918) was a German mathematician.
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Gottlob Frege
Friedrich Ludwig Gottlob Frege (8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician.
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Henri-Pierre Roché
Henri-Pierre Roché (28 May 1879 – 9 April 1959) was a French author who was deeply involved with the artistic avant-garde in Paris and the Dada movement.
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Hypergraph
In mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices.
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Incidence structure
In mathematics, an abstract system consisting of two types of objects and a single relationship between these types of objects is called an incidence structure.
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Indicator function
In mathematics, an indicator function or a characteristic function is a function defined on a set X that indicates membership of an element in a subset A of X, having the value 1 for all elements of A and the value 0 for all elements of X not in A. It is usually denoted by a symbol 1 or I, sometimes in boldface or blackboard boldface, with a subscript specifying the subset.
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Inequality (mathematics)
In mathematics, an inequality is a relation that holds between two values when they are different (see also: equality).
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Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
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Intension
In linguistics, logic, philosophy, and other fields, an intension is any property or quality connoted by a word, phrase, or another symbol.
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Internet Archive
The Internet Archive is a San Francisco–based nonprofit digital library with the stated mission of "universal access to all knowledge." It provides free public access to collections of digitized materials, including websites, software applications/games, music, movies/videos, moving images, and nearly three million public-domain books.
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Interpretation (logic)
An interpretation is an assignment of meaning to the symbols of a formal language.
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John Lucas (philosopher)
John Randolph Lucas FBA (born 18 June 1929) is a British philosopher.
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Karl Marx
Karl MarxThe name "Karl Heinrich Marx", used in various lexicons, is based on an error.
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List of Nobel laureates
The Nobel Prizes (Nobelpriset, Nobelprisen) are prizes awarded annually by the Royal Swedish Academy of Sciences, the Swedish Academy, the Karolinska Institutet, and the Norwegian Nobel Committee to individuals and organizations who make outstanding contributions in the fields of chemistry, physics, literature, peace, and physiology or medicine.
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Logic
Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.
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Logical matrix
A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0,1) matrix is a matrix with entries from the Boolean domain Such a matrix can be used to represent a binary relation between a pair of finite sets.
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Marcel Duchamp
Henri-Robert-Marcel Duchamp (28 July 1887 – 2 October 1968) was a French-American painter, sculptor, chess player and writer whose work is associated with Cubism, conceptual art, and Dada, although he was careful about his use of the term Dada and was not directly associated with Dada groups.
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Mathematical induction
Mathematical induction is a mathematical proof technique.
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Mathematical logic
Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.
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Mathematical object
A mathematical object is an abstract object arising in mathematics.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Model theory
In mathematics, model theory is the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic.
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Nicolas Bourbaki
Nicolas Bourbaki is the collective pseudonym under which a group of (mainly French) 20th-century mathematicians, with the aim of reformulating mathematics on an extremely abstract and formal but self-contained basis, wrote a series of books beginning in 1935.
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Nobel Prize
The Nobel Prize (Swedish definite form, singular: Nobelpriset; Nobelprisen) is a set of six annual international awards bestowed in several categories by Swedish and Norwegian institutions in recognition of academic, cultural, or scientific advances.
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Order theory
Order theory is a branch of mathematics which investigates the intuitive notion of order using binary relations.
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Partially ordered set
In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.
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Patrick Suppes
Patrick Colonel Suppes (March 17, 1922 – November 17, 2014) was an American philosopher who made significant contributions to philosophy of science, the theory of measurement, the foundations of quantum mechanics, decision theory, psychology and educational technology.
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Paul Halmos
Paul Richard Halmos (Halmos Pál; March 3, 1916 – October 2, 2006) was a Hungarian-Jewish-born American mathematician who made fundamental advances in the areas of mathematical logic, probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces).
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Predicate (mathematical logic)
In mathematical logic, a predicate is commonly understood to be a Boolean-valued function P: X→, called the predicate on X. However, predicates have many different uses and interpretations in mathematics and logic, and their precise definition, meaning and use will vary from theory to theory.
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Principia Mathematica
The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.
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Projection (set theory)
In set theory, a projection is one of two closely related types of functions or operations, namely.
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Property (philosophy)
In philosophy, mathematics, and logic, a property is a characteristic of an object; a red object is said to have the property of redness.
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Queen Victoria
Victoria (Alexandrina Victoria; 24 May 1819 – 22 January 1901) was Queen of the United Kingdom of Great Britain and Ireland from 20 June 1837 until her death.
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Reflexive relation
In mathematics, a binary relation R over a set X is reflexive if every element of X is related to itself.
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Relation algebra
In mathematics and abstract algebra, a relation algebra is a residuated Boolean algebra expanded with an involution called converse, a unary operation.
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Relational algebra
Relational algebra, first created by Edgar F. Codd while at IBM, is a family of algebras with a well-founded semantics used for modelling the data stored in relational databases, and defining queries on it.
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Relational database
A relational database is a digital database based on the relational model of data, as proposed by E. F. Codd in 1970.
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Relational model
The relational model (RM) for database management is an approach to managing data using a structure and language consistent with first-order predicate logic, first described in 1969 by Edgar F. Codd, where all data is represented in terms of tuples, grouped into relations.
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Richard Dedekind
Julius Wilhelm Richard Dedekind (6 October 1831 – 12 February 1916) was a German mathematician who made important contributions to abstract algebra (particularly ring theory), axiomatic foundation for the natural numbers, algebraic number theory and the definition of the real numbers.
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Roger Maddux
Roger Maddux (born 1948) is an American mathematician specializing in algebraic logic.
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Roland Fraïssé
Roland Fraïssé (12 March 1920 – 30 March 2008) was a French mathematical logician.
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Rudolf Carnap
Rudolf Carnap (May 18, 1891 – September 14, 1970) was a German-born philosopher who was active in Europe before 1935 and in the United States thereafter.
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Sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.
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Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
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Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
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Sign (mathematics)
In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.
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Sign relation
A sign relation is the basic construct in the theory of signs, also known as semiotics, as developed by Charles Sanders Peirce.
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Stanislaw Ulam
Stanisław Marcin Ulam (13 April 1909 – 13 May 1984) was a Polish-American scientist in the fields of mathematics and nuclear physics.
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Subset
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.
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Ternary relation
In mathematics, a ternary relation or triadic relation is a finitary relation in which the number of places in the relation is three.
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The Principles of Mathematics
The Principles of Mathematics (PoM) is a book written by Bertrand Russell in 1903.
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Transitive relation
In mathematics, a binary relation over a set is transitive if whenever an element is related to an element and is related to an element then is also related to.
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Truth value
In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth.
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Tuple
In mathematics, a tuple is a finite ordered list (sequence) of elements.
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William Lawvere
Francis William Lawvere (born February 9, 1937) is a mathematician known for his work in category theory, topos theory and the philosophy of mathematics.
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Dyadic Relation, K-ary relation, Kary relation, N-ary relation, N-ary relations, Nary relation, Polyadic relation, Quaternary relation, Relation (logic), Subrelation, Theory of relations, Unary relation.
References
[1] https://en.wikipedia.org/wiki/Finitary_relation
