formal logic

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…

4 days ago

Top (Logic)

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

4 days ago

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…

4 days ago

Ternary Semantics in Logic

Ternary semantics extend possible worlds semantics using a ternary relation, often in relevant logics. This approach offers a richer framework…

4 days ago

The Temperature Paradox

The temperature paradox highlights how seemingly illogical conclusions, like 'ninety is rising,' can be valid within specific formal logical systems.…

4 days ago

Syntactic Consequence in Formal Systems

Syntactic consequence defines the relationship between premises and conclusions derived through logical rules and axioms within a formal system. It…

4 days ago

Syllogistic Mood

A syllogistic mood defines a syllogism's type based on the categorical propositions (universal affirmative, negative; particular affirmative, negative) of its…

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Substitution Instance in Logic

A substitution instance is the result of replacing variables in a well-formed formula with other formulas. Each variable must be…

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Substitution in Logic

Substitution is the fundamental act of replacing variables or expressions in logical formulas with others. It's crucial for maintaining logical…

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Subordinate Connective in Logic

A subordinate connective is a logical operator appearing within the scope of another logical operator in a compound proposition. It…

4 days ago