logical operators

Weak Kleene Connectives in Three-Valued Logic

Weak Kleene connectives are operators in three-valued logic where undefined components may result in an undefined compound statement, unlike their…

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Vacuous Quantifier

A vacuous quantifier is a logical operator that does not bind any variables within its scope. An example is the…

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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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Tonk: The Fictional Logical Connective

Tonk is a fictional logical connective that highlights the necessity of inference rules in defining logical operators. It demonstrates how…

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Strong Kleene Connectives

Strong Kleene connectives are logical operators in three-valued logic designed by Stephen Cole Kleene. They handle indeterminate or undefined values,…

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Punctuation in Logic

In logic, punctuation like parentheses and brackets are crucial for defining the scope and order of operations. They ensure clarity…

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Principal Connective in Logic

The principal connective, also known as the dominant connective, is the logical operator that governs the overall structure of a…

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Philonian Conditional

The Philonian conditional, also known as the material conditional, is a key concept in propositional logic. It formalizes 'if...then...' statements,…

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Modal Operators in Logic

Modal operators like necessity (◻) and possibility (◊) alter a statement's truth value, indicating whether it must be true or…

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Material Equivalence in Logic

Material equivalence describes a relationship between two propositions that always share the same truth value. If one is true, the…

4 days ago