formal logic

Model-Theoretic Validity

Model-theoretic validity refers to the truth of a statement within all possible interpretations or models. It's a cornerstone of formal…

5 days ago

Model-Theoretic Consequence

Model-theoretic consequence is a fundamental concept in logic, defining logical implication through the interpretation of formulas in models. It ensures…

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Modal Operators in Logic

Modal operators like necessity (◻) and possibility (◊) alter a statement's truth value, indicating whether it must be true or…

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Modal Logic

Modal logic is a branch of logic that formally explores concepts like necessity, possibility, and obligation. It uses modal operators…

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Maximal Consistent Set

A maximal consistent set is a collection of logical formulas that is both consistent and cannot be extended further without…

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Material Equivalence in Logic

Material equivalence describes propositions that share the same truth value under all circumstances. It's a fundamental concept in logic, crucial…

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Material Implication

Material implication, also known as material conditional, signifies a logical connection where the truth of one proposition implies the truth…

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Material Equivalence in Logic

Material equivalence describes a relationship between two propositions that always share the same truth value. If one is true, the…

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Material Conditional

The material conditional, symbolized as 'if...then...', is a fundamental logical operator. It asserts that a conditional statement is true in…

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Many-Valued Logic

Explore systems beyond binary true/false. Many-valued logic incorporates additional truth values to represent uncertainty, indeterminacy, and nuanced degrees of truth…

5 days ago