- published: 23 Dec 2011
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A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—to compute the functional values of logical expressions on each of their functional arguments, that is, on each combination of values taken by their logical variables (Enderton, 2001). In particular, truth tables can be used to tell whether a propositional expression is true for all legitimate input values, that is, logically valid.
Practically, a truth table is composed of one column for each input variable (for example, A and B), and one final column for all of the possible results of the logical operation that the table is meant to represent (for example, A XOR B). Each row of the truth table therefore contains one possible configuration of the input variables (for instance, A=true B=false), and the result of the operation for those values. See the examples below for further clarification. Ludwig Wittgenstein is often credited with their invention in the Tractatus Logico-Philosophicus, though they appeared at least a year earlier in a paper on propositional logic by Emil Leon Post.
Definitions and examples. Truth tables. Equivalent statements. For more free math videos, visit: http://www.professorserna.com
Here is a quick tutorial on two different truth tables. If you have any questions or would like me to do a tutorial on a specific example, then please comment down below and I will get back to you as soon as possible!
Basic NOT, AND, OR, CONDITIONAL statements and their truth table and how to construct truth table with two parameters.
A short summary on how to create a boolean truth table.
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An example of using a truth table to analyze an argument with 3 statements and 3 premises.
An example of constructing a truth table with 3 statements
Introduction to Boolean algebra. Features truth table demonstrations.
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Contradiction and tautology. Truth tables
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We construct a simple truth table.
We construct a more complicated truth table.
Introduces how to use logic symbols within truth tables to evaluate the validity of compound statements