Logic

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…

5 days ago

Square of Opposition

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

5 days ago

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…

5 days ago

Sound Deductive Argument

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

5 days ago

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

Sorites Paradox: The Paradox of the Heap

The Sorites paradox, or paradox of the heap, arises from vague predicates. It demonstrates how a chain of seemingly logical…

5 days ago

Sophisma: Challenging Logic with Paradox

A sophisma is a puzzling or paradoxical question, historically used in medieval logic to expose fallacies and the intricacies of…

5 days ago

Skolem Paradox

The Skolem paradox highlights a contradiction between intuition and the Skolem-Lowenheim theorem. It shows that countable models can exist for…

5 days ago

Skolem Normal Form in First-Order Logic

Skolem Normal Form (SNF) simplifies first-order logic by eliminating existential quantifiers. It replaces them with Skolem functions, ensuring only universal…

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Skolem-Lowenheim Theorem

A fundamental theorem in first-order logic. It asserts that if a theory has an infinite model, it possesses models for…

5 days ago