Logic

Island of Knights and Knaves

A classic logic puzzle setting where inhabitants are either truth-telling knights or lying knaves. These scenarios test deductive reasoning skills…

5 days ago

“is” of Identity

The "is" of identity refers to the verb "is" used to express numerical identity between two distinct entities. It asserts…

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I-proposition in Traditional Logic

An I-proposition, in traditional logic, is a particular affirmative categorical statement. It asserts that at least some members of the…

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Invalid Deductive Argument

A deductive argument that doesn't logically guarantee its conclusion. It's flawed in structure, meaning the premises, even if true, don't…

5 days ago

What is an Invalid Argument?

An invalid argument is one where the conclusion does not logically follow from its premises, even if the premises are…

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Intuitionistic Mathematics

Mathematics built on intuitionistic logic, prioritizing constructive proofs and avoiding non-constructive axioms like the law of excluded middle. It emphasizes…

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Intuitionistic Logic Explained

Intuitionistic logic, a constructive approach to reasoning, diverges from classical logic by rejecting the law of excluded middle. It demands…

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Introduction Rule in Logic

An introduction rule in logic defines how to logically infer a connective within a proof. It's a fundamental concept in…

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Interrogative Logic (Erotetic Logic)

Interrogative logic, also known as erotetic logic, is the formal study of questions and reasoning involving them. It explores the…

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Interpolation Theorem

A theorem stating that if A implies B is provable, a formula C exists using only common symbols. Both A…

5 days ago