Truth table
A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables. In particular, truth tables can be used to show whether a propositional expression is true for all legitimate input values, that is, logically valid.
- Comment
- enA truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables. In particular, truth tables can be used to show whether a propositional expression is true for all legitimate input values, that is, logically valid.
- Has abstract
- enA truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables. In particular, truth tables can be used to show whether a propositional expression is true for all legitimate input values, that is, logically valid. A truth table has one column for each input variable (for example, P and Q), and one final column showing all of the possible results of the logical operation that the table represents (for example, P XOR Q). Each row of the truth table contains one possible configuration of the input variables (for instance, P=true Q=false), and the result of the operation for those values. See the examples below for further clarification. Ludwig Wittgenstein is generally credited with inventing and popularizing the truth table in his Tractatus Logico-Philosophicus, which was completed in 1918 and published in 1921. Such a system was also independently proposed in 1921 by Emil Leon Post. An even earlier iteration of the truth table has also been found in unpublished manuscripts by Charles Sanders Peirce from 1893, antedating both publications by nearly 30 years.
- Hypernym
- Table
- Id
- enp/t094370
- Is primary topic of
- Truth table
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- enTruth table
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- www.allaboutcircuits.com/vol_4/chpt_7/9.html
- sites.millersville.edu/bikenaga/math-proof/truth-tables/truth-tables.html
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- American Journal of Mathematics
- Array data structure
- Associative property
- Bertrand Russell
- Biconditional
- Binary decision diagram
- Binary number
- Binary numeral system
- Binary variable
- Bit
- Boolean algebra (logic)
- Boolean domain
- Boolean function
- Boolean logic
- Boolean-valued function
- C.S. Peirce
- Category:Boolean algebra
- Category:Conceptual models
- Category:Mathematical tables
- Category:Propositional calculus
- Category:Semantics
- Charles Sanders Peirce
- Commutative property
- Contradiction
- Converse implication
- Converse nonimplication
- De Morgan's laws
- Digital circuit
- Double exponential function
- Duality principle (Boolean algebra)
- Electronic design automation
- Emil Leon Post
- Excitation table
- Exclusive disjunction
- Exclusive nor
- Exclusive or
- Exponential growth
- Expression (mathematics)
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- Identity function
- If and only if
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- Logical NAND
- Logical negation
- Logical NOR
- Logical operation
- Logical value
- Logic gate
- Lookup table
- Ludwig Wittgenstein
- Material conditional
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- Mathematical table
- Method of analytic tableaux
- Negation
- Peirce arrow
- Projection function
- Proposition
- Propositional calculus
- Publicad
- Right identity
- Software
- Sole sufficient operator
- Tautology (logic)
- Tee (symbol)
- Tractatus Logico-Philosophicus
- Truth function
- Truth value
- Validity (logic)
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- 7852448-9
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- m.07gtx
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- Q219079
- Q22121544
- Ratio propositionum
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- Tabela-verdade
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- Tabella della verità
- Tabla de verdad
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- Tablica prawdy
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- Taula de veritat
- Tõeväärtustabel
- Totuustaulu
- Truth table
- Truth table
- Vertabelo
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- Waarheidstabel
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- Πίνακας αληθείας
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- Իսկության աղյուսակ
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- सत्यता सारणी
- সত্যক সারণি
- සත්යතා වගුව
- ตารางค่าความจริง
- የዕውነታ ሠንጠረዥ
- 真值表
- 真理値表
- 진리표
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- Category:Boolean algebra
- Category:Conceptual models
- Category:Mathematical tables
- Category:Propositional calculus
- Category:Semantics
- Title
- enTruth table
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