Strong Inductive Arguments
A strong inductive argument makes its conclusion highly probable if the premises are true. It offers significant support but doesn't guarantee certainty, unlike deductive arguments.
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, fundamental to constructivist mathematics.
Strong Completeness in Logic
Strong completeness in logic means that if a formula is true in all interpretations (semantically valid), it can be proven syntactically within the system. It ensures the system captures all…
Strict Implication
Strict implication defines a relationship where the truth of the antecedent necessarily guarantees the truth of the consequent. It's a concept deeply rooted in modal logic, exploring necessity and possibility.
Strict Conditional
A strict conditional is a logical implication where the truth of the antecedent necessitates the truth of the consequent. It's a stronger form of implication than the material conditional, often…
Straw Man Fallacy
A straw man fallacy misrepresents an opponent's argument to make it easier to attack. This informal fallacy distorts the original point, creating a weaker version for refutation.
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, without asserting it reflects current usage.
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 for logical reasoning and argumentation, forming the basis of propositions.
Square of Opposition
The Square of Opposition illustrates logical relations between A, E, I, and O categorical propositions. It details contradictions, contraries, subcontraries, and subalternations in traditional logic.
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 logical reasoning and proof.