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Turnstile (symbol)

Index Turnstile (symbol)

In mathematical logic and computer science the symbol \vdash has taken the name turnstile because of its resemblance to a typical turnstile if viewed from above. [1]

54 relations: Adjoint functors, APL (programming language), Axiom, , Begriffsschrift, Binary relation, Box-drawing character, Bracket, Cambridge University Press, Category theory, Claudian letters, Combinatorics, Computer science, Dash, Double turnstile, Empty set, FOCAL character set, Formal language, Formal proof, Formal system, Functor, Gottlob Frege, Heta, Hewlett-Packard, HP Roman, HP-41C, HP-42S, Interpretation (logic), Judgment (mathematical logic), LaTeX, List of logic symbols, List of mathematical symbols, Logical consequence, Mathematical logic, Metalogic, MIT Press, Nordic Journal of Philosophical Logic, Partition (number theory), Per Martin-Löf, Phonetic symbols in Unicode, Proof theory, Propositional calculus, Rule of inference, Sequent, Sequent calculus, Syntax (logic), TeX, Theorem, Theory (mathematical logic), Turnstile, ..., Typed lambda calculus, Typewriter, Unicode, Vertical bar. Expand index (4 more) »

Adjoint functors

In mathematics, specifically category theory, adjunction is a possible relationship between two functors.

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APL (programming language)

APL (named after the book A Programming Language) is a programming language developed in the 1960s by Kenneth E. Iverson.

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Axiom

An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.

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(ah) is one of the Korean hangul.

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Begriffsschrift

Begriffsschrift (German for, roughly, "concept-script") is a book on logic by Gottlob Frege, published in 1879, and the formal system set out in that book.

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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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Box-drawing character

Box-drawing characters, also known as line-drawing characters, are a form of semigraphics widely used in text user interfaces to draw various geometric frames and boxes.

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Bracket

A bracket is a tall punctuation mark typically used in matched pairs within text, to set apart or interject other text.

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Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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Category theory

Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).

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Claudian letters

The Claudian letters were developed by, and named after, the Roman Emperor Claudius (reigned 41–54).

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Combinatorics

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

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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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Dash

The dash is a punctuation mark that is similar in appearance to and, but differs from these symbols in both length and height.

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Double turnstile

In logic, the symbol ⊨, ⊧ or \models is called the double turnstile.

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Empty set

In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.

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FOCAL character set

In computing FOCAL character set refers to a group of 8-bit single byte character sets introduced by Hewlett-Packard since 1979.

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Formal language

In mathematics, computer science, and linguistics, a formal language is a set of strings of symbols together with a set of rules that are specific to it.

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Formal proof

A formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence by a rule of inference.

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Formal system

A formal system is the name of a logic system usually defined in the mathematical way.

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Functor

In mathematics, a functor is a map between categories.

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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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Heta

Heta is a conventional name for the historical Greek alphabet letter Eta (Η) and several of its variants, when used in their original function of denoting the consonant.

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Hewlett-Packard

The Hewlett-Packard Company (commonly referred to as HP) or shortened to Hewlett-Packard was an American multinational information technology company headquartered in Palo Alto, California.

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HP Roman

In computing HP Roman is a family of character sets consisting of HP Roman Extension, HP Roman-8, HP Roman-9 and several variants.

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HP-41C

The HP-41C series are programmable, expandable, continuous memory handheld RPN calculators made by Hewlett-Packard from 1979 to 1990.

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HP-42S

The HP-42S RPN Scientific is a programmable RPN Scientific hand held calculator introduced by Hewlett Packard in 1988.

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Interpretation (logic)

An interpretation is an assignment of meaning to the symbols of a formal language.

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Judgment (mathematical logic)

In mathematical logic, a judgment (or judgement) or assertion is a statement or enunciation in the metalanguage.

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LaTeX

LaTeX (or; a shortening of Lamport TeX) is a document preparation system.

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List of logic symbols

In logic, a set of symbols is commonly used to express logical representation.

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List of mathematical symbols

This is a list of symbols used in all branches of mathematics to express a formula or to represent a constant.

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Logical consequence

Logical consequence (also entailment) is a fundamental concept in logic, which describes the relationship between statements that hold true when one statement logically follows from one or more statements.

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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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Metalogic

Metalogic is the study of the metatheory of logic.

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MIT Press

The MIT Press is a university press affiliated with the Massachusetts Institute of Technology (MIT) in Cambridge, Massachusetts (United States).

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Nordic Journal of Philosophical Logic

The Nordic Journal of Philosophical Logic was an international journal of philosophy started in May 1996.

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Partition (number theory)

In number theory and combinatorics, a partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers.

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Per Martin-Löf

Per Erik Rutger Martin-Löf (born May 8, 1942) is a Swedish logician, philosopher, and mathematical statistician.

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Phonetic symbols in Unicode

Unicode supports several phonetic scripts and notations through the existing writing systems and the addition of extra blocks with phonetic characters.

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Proof theory

Proof theory is a major branchAccording to Wang (1981), pp.

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Propositional calculus

Propositional calculus is a branch of logic.

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Rule of inference

In logic, a rule of inference, inference rule or transformation rule is a logical form consisting of a function which takes premises, analyzes their syntax, and returns a conclusion (or conclusions).

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Sequent

In mathematical logic, a sequent is a very general kind of conditional assertion.

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Sequent calculus

Sequent calculus is, in essence, a style of formal logical argumentation where every line of a proof is a conditional tautology (called a sequent by Gerhard Gentzen) instead of an unconditional tautology.

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Syntax (logic)

In logic, syntax is anything having to do with formal languages or formal systems without regard to any interpretation or meaning given to them.

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TeX

TeX (see below), stylized within the system as TeX, is a typesetting system (or "formatting system") designed and mostly written by Donald Knuth and released in 1978.

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Theorem

In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted statements, such as axioms.

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Theory (mathematical logic)

In mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language.

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Turnstile

A turnstile, also called a baffle gate or turnstyle, is a form of gate which allows one person to pass at a time.

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Typed lambda calculus

A typed lambda calculus is a typed formalism that uses the lambda-symbol (\lambda) to denote anonymous function abstraction.

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Typewriter

A typewriter is a mechanical or electromechanical machine for writing characters similar to those produced by printer's movable type.

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Unicode

Unicode is a computing industry standard for the consistent encoding, representation, and handling of text expressed in most of the world's writing systems.

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Vertical bar

The vertical bar (|) is a computer character and glyph with various uses in mathematics, computing, and typography.

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References

[1] https://en.wikipedia.org/wiki/Turnstile_(symbol)

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