logic

Subalternation in Logic

Subalternation describes how a universal statement's truth guarantees the truth of its corresponding particular statement. It's a fundamental concept in…

5 days ago

Structural Rule in Logic

A structural rule in logic, particularly proof theory, governs the manipulation of sequent components. It operates without regard to the…

5 days ago

Strong Negation: Exclusion vs. Choice Negation

Explore strong negation, differentiating between exclusion negation (A is not B, implying A is C) and choice negation (A is…

5 days ago

Strong Counterexample in Intuitionistic Logic

A strong counterexample in intuitionistic logic disproves an instance of the law of excluded middle. It's a proof of negation,…

5 days ago

Stipulative Definitions: Defining New Meanings

A stipulative definition introduces a word's meaning for the first time or proposes a new meaning for an existing word,…

5 days ago

Statement: The Building Block of Logical Discourse

A statement is a declarative sentence that asserts a fact, capable of being true or false. It's the fundamental unit…

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Square of Opposition

The Square of Opposition illustrates logical relations between A, E, I, and O categorical propositions. It details contradictions, contraries, subcontraries,…

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Soundness in Logic

Soundness ensures that a logical system's derived theorems are always true under any interpretation. It's a fundamental property for reliable…

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Sound Deductive Argument

A sound deductive argument is both valid and has true premises. This means its conclusion must be true, guaranteeing certainty.…

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Sorites Series: Navigating Vagueness and Paradox

A sorites series presents a sequence of propositions used to illustrate the sorites paradox. It challenges our understanding of vague…

5 days ago