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Free Variable Explained

A free variable in logic and mathematics is one not bound by quantifiers or assigned a specific value. It represents…

2 weeks ago

Fallacy of Four Terms

A logical error in syllogistic reasoning where an argument improperly uses four distinct terms instead of the required three, rendering…

2 weeks ago

Dynamic Modal Logic

Dynamic modal logic explores necessary and possible connections between events. It extends traditional modal logic to analyze how states change…

2 weeks ago

Doxastic Modal Logic: The Logic of Belief

Doxastic modal logic explores the reasoning behind beliefs. It models how rational agents form and update their beliefs, providing a…

2 weeks ago

Discharge in Logical Derivation

Discharge is the act of eliminating an assumption within a logical derivation. It's a crucial step, often used to prove…

2 weeks ago

Deduction Theorem

The deduction theorem states that if a statement can be derived from a set of premises plus an additional statement,…

2 weeks ago

Boethius’ Theses

Boethius' theses are two formulas in propositional logic: (A → B) → ¬ (A → ¬ B) and (A →…

2 weeks ago

Barcan Formula

The Barcan formula in modal logic states that if something exists, then it necessarily exists. It explores the relationship between…

2 weeks ago

Affine Logics

Affine logics, a specialized branch of linear logic, explore the properties of affine transformations and their direct impact on logical…

2 weeks ago

Understanding Phrases in Language

Phrases are fundamental building blocks of sentences, offering meaning and structure. They combine words to act as a single grammatical…

2 weeks ago