Posts Tagged ‘truth table’
Tuesday, October 13th, 2009
How to Identify Contradictions
Description
A detailed tutorial on identifying contradictions. Step by step tutorial including several examples of how to identify contradictions for reference.
Overview
A contradiction is a statement of only false values – one that is false no matter how you look at it. In terms of mathematical logic, it is defined as a propositional form that is false for every assignment of truth values to its components. In order for a statement to be a contradiction, when the proposition is on a truth table it must be false for every possible combination of P and Q.
Tags: components, contradiction, discrete math, false, logic, Math, P, proposition, Q, statement, tautology, true, truth table
Posted in Discrete Math | No Comments »
Tuesday, October 13th, 2009
How to Identify Tautologies
Description
A detailed tutorial on identifying tautologies. Step by step tutorial including several examples of how to identify tautologies for reference.
Overview
A tautology is a statement of truth – one that is true no matter how you look at it. In terms of mathematical logic, it is defined as a propositional form that is true for every assignment of truth values to its components. In order for a statement to be a tautology, when the proposition is on a truth table it must be true for every possible combination of P and Q.
Tags: components, contradiction, discrete math, false, logic, Math, P, proposition, Q, statement, tautology, true, truth table
Posted in Discrete Math | No Comments »
Tuesday, October 6th, 2009
Logical Equivalence Explained
Description
A detailed tutorial on logical equivalence. Step by step tutorial with several examples of what logical equivalence is and how to identify it for reference.
Overview
In the study of discrete math, it is said that two statements are logically equivalent if and only if their truth tables match. This means that for every possible combination of the antecedent and the consequent, these two statements must have exactly the same answer in order to be logically equivalent. There is only a true or false answer to this question, there is no “possibly” or “maybe”.
Tags: antecedent, combination, consequent, discrete math, equivalence, equivalent, false, logical, logically, match, Math, same, true, truth table
Posted in Discrete Math | No Comments »
