Logic

Neo-Fregeanism: A Modern Approach to Logicism

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

5 days ago

Understanding Negative Propositions

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

5 days ago

Negation Normal Form (NNF)

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

5 days ago

Negation Introduction Rule in Natural Deduction

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

5 days ago

Negation Elimination in Natural Deduction

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

5 days ago

Negation Consistency in Logic

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

5 days ago

Negation Completeness in Logic

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

5 days ago

Negation in Logic

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

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The Necessity of Identity

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

5 days ago

Necessity: Truth in All Possible Worlds

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

5 days ago