propositional logic

Truth-Tree: A Guide to Analytic Tableaux

Truth-trees, also known as analytic tableaux, are a method for testing logical validity and consistency. They systematically break down complex…

4 days ago

Truth Tables: Understanding Logical Statements

A truth table systematically displays the truth value of a compound statement for all possible truth combinations of its individual…

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Truth-Functional Logic

Truth-functional logic defines operators based solely on their input truth values, independent of proposition content. It's fundamental for understanding logical…

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Truth Functions in Logic

A truth function maps truth values (true/false) to truth values. It is fundamental in logic for defining the meaning of…

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Truth Conditions in Semantics

Truth conditions define when a statement is true. They are fundamental to understanding meaning and are crucial for semantic analysis,…

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Transposition in Logic

Transposition is a fundamental logical rule enabling the transformation of a conditional statement P → Q into its contrapositive ¬…

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Top (Logic)

In logic, the symbol ⊤ represents the maximal element in a lattice or order. It commonly denotes a tautology or…

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Tilde (~) Symbol in Logic

The tilde (~) is a logical operator representing negation. It signifies that the proposition it modifies is false. This fundamental…

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Term Logic

Term logic, central to Aristotelian thought, analyzes propositions by focusing on the relationships between terms and the inferences derived from…

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Tautology: Understanding Logically True Statements

A tautology is a statement or formula that is always true, regardless of the truth values of its components. It's…

4 days ago