Neo-Fregeanism: A Modern Approach to Logicism

1 week ago

Neo-Fregeanism revives Frege's logicist project, aiming to base mathematics on logic. It utilizes Hume's Principle and other axioms to ground…

Understanding Negative Propositions

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A negative proposition asserts the absence or non-existence of something, or denies a property of an object. It's a fundamental…

Negation Normal Form (NNF)

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Negation Normal Form (NNF) is a standard way to represent logical formulas. In NNF, negations only apply to atomic propositions,…

Negation Introduction Rule in Natural Deduction

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Negation introduction is a natural deduction rule enabling the derivation of negation. It typically involves assuming the opposite and deriving…

Negation Elimination in Natural Deduction

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Negation elimination is a fundamental rule in natural deduction. It permits inferring a conclusion by negating a premise, provided it…

Negation Consistency in Logic

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Negation consistency ensures a logical system is free from contradictions, meaning no statement and its negation can both be proven…

Negation Completeness in Logic

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Negation completeness signifies a logical system's ability to prove either any given statement or its negation. This ensures that no…

Negation in Logic

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Negation is a fundamental logical operation that reverses the truth value of a statement. It transforms true propositions into false…

The Necessity of Identity

1 week ago

The principle of the necessity of identity asserts that if two objects are identical, this identity holds true across all…

Necessity: Truth in All Possible Worlds

1 week ago

Necessity signifies a proposition that holds true across all possible worlds or under any conceivable circumstance. It's a fundamental concept…