# truth table

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## truth table

[′trüth ‚tā·bəl]
(mathematics)
A table listing statements concerning an event and their respective truth values.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## truth table

(logic)
A table listing all possible combinations of inputs and the corresponding output of a Boolean function such as AND, OR, NOT, IMPLIES, XOR, NAND, NOR. Truth tables can be used as a means of representing a function or as an aid in designing a circuit to implement it.

## truth table

A chart of a logical operation's inputs and outputs. The following example is a Boolean NAND truth table.

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References in periodicals archive ?
For we don't give a direct account of what it takes for two truth-values to fall under the extension of "&" (and use some truth-table written on a board as an aid to express that).
Now, I'm not claiming that this process of introduction of the connective "&" is in a better position than Russell's truth-table on a blackboard story in the sense of being a better explanation of how this meaning attribution took place (though I actually believe it is).
The objective of the procedure, which is an adaptation of the well-known short-cut (reductio ad absurdum) truth-table method from extensional logic, is to show either that the formula to be examined can be decisively falsified or else that it cannot be falsified without an inconsistent assignment of truth values to the variables.
Tractatus is famous in formal logic for its notion of truth-tables. These are arrays in table form of various combinations of the letters T and F, standing for "true" and "false." Today these arrays are used to define logical relations between propositions, like "either," "and," etc.
While influenced by Frege and Russell in other respects, Wittgenstein derived his truth-tables from Weininger's gender-tables in Sex and Character, which used two symbols, M and W (for Mensch and Weib).

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