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33 relations: Alfred Tarski, Boolean algebra, Boolean algebra (structure), Boolean domain, Boolean-valued, Classical logic, Control system, Converse nonimplication, Diagrammatic reasoning, Existential graph, First-order logic, G. Spencer-Brown, Heyting algebra, History of computer science, History of science and technology in Japan, Laws of Form, List of Boolean algebra topics, List of Japanese inventions and discoveries, Logic gate, Logical connective, Modular arithmetic, MV-algebra, Outline of algebra, Outline of logic, Principle of bivalence, Semigroup with two elements, Semiring, Star product, Stone's representation theorem for Boolean algebras, Switching circuit theory, The Art of Computer Programming, 2 (disambiguation), 2-valued morphism.
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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Boolean algebra
In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.
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Boolean algebra (structure)
In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice.
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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
Boolean-valued usually refers to.
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Classical logic
Classical logic (or standard logic) is an intensively studied and widely used class of formal logics.
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Control system
A control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops.
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Converse nonimplication
In logic, converse nonimplication is a logical connective which is the negation of converse implication (equivalently, the negation of the converse of implication).
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Diagrammatic reasoning
Diagrammatic reasoning is reasoning by means of visual representations.
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Existential graph
An existential graph is a type of diagrammatic or visual notation for logical expressions, proposed by Charles Sanders Peirce, who wrote on graphical logic as early as 1882, and continued to develop the method until his death in 1914.
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First-order logic
First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.
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G. Spencer-Brown
George Spencer-Brown (2 April 1923 – 25 August 2016) was an English polymath best known as the author of Laws of Form.
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Heyting algebra
In mathematics, a Heyting algebra is a bounded lattice (with join and meet operations written ∨ and ∧ and with least element 0 and greatest element 1) equipped with a binary operation a → b of implication such that c ∧ a ≤ b is equivalent to c ≤ a → b. From a logical standpoint, A → B is by this definition the weakest proposition for which modus ponens, the inference rule A → B, A ⊢ B, is sound.
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History of computer science
The history of computer science began long before our modern discipline of computer science.
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History of science and technology in Japan
This is the history of science and technology in Japan.
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Laws of Form
Laws of Form (hereinafter LoF) is a book by G. Spencer-Brown, published in 1969, that straddles the boundary between mathematics and philosophy.
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List of Boolean algebra topics
This is a list of topics around Boolean algebra and propositional logic.
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List of Japanese inventions and discoveries
This is a list of Japanese inventions and discoveries.
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Logic gate
In electronics, a logic gate is an idealized or physical device implementing a Boolean function; that is, it performs a logical operation on one or more binary inputs and produces a single binary output.
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Logical connective
In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a symbol or word used to connect two or more sentences (of either a formal or a natural language) in a grammatically valid way, such that the value of the compound sentence produced depends only on that of the original sentences and on the meaning of the connective.
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Modular arithmetic
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).
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MV-algebra
In abstract algebra, a branch of pure mathematics, an MV-algebra is an algebraic structure with a binary operation \oplus, a unary operation \neg, and the constant 0, satisfying certain axioms.
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Outline of algebra
Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity.
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Outline of logic
Logic is the formal science of using reason and is considered a branch of both philosophy and mathematics.
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Principle of bivalence
In logic, the semantic principle (or law) of bivalence states that every declarative sentence expressing a proposition (of a theory under inspection) has exactly one truth value, either true or false.
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Semigroup with two elements
In mathematics, a semigroup with two elements is a semigroup for which the cardinality of the underlying set is two.
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Semiring
In abstract algebra, a semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse.
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Star product
In mathematics, the star product is a method of combining graded posets with unique minimal and maximal elements, preserving the property that the posets are Eulerian.
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Stone's representation theorem for Boolean algebras
In mathematics, Stone's representation theorem for Boolean algebras states that every Boolean algebra is isomorphic to a certain field of sets.
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Switching circuit theory
Switching circuit theory is the mathematical study of the properties of networks of idealized switches.
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The Art of Computer Programming
The Art of Computer Programming (sometimes known by its initials TAOCP) is a comprehensive monograph written by Donald Knuth that covers many kinds of programming algorithms and their analysis.
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2 (disambiguation)
2 is a number, numeral, and glyph.
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2-valued morphism
2-valued morphism is a term used in mathematics to describe a morphism that sends a Boolean algebra B onto a two-element Boolean algebra 2.
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Redirects here:
2 (algebra), Boolean arithmetic, Two element boolean algebra.
References
[1] https://en.wikipedia.org/wiki/Two-element_Boolean_algebra
