Logic

Causal Modal Logic

Causal modal logic extends standard modal logic with modalities for necessity, possibility, and causal relations. It enables formal analysis of…

4 days ago

Causal Logic

Causal logic explores the intricate relationships between causes and effects. It provides frameworks for representing and reasoning about how events…

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Category Theory: A Foundation for Mathematical Structures

A category is a fundamental structure in mathematics and logic, comprising objects and the relationships (morphisms) between them. It provides…

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Categorical Syllogism

A categorical syllogism is a deductive reasoning form in Aristotelian logic. It uses three categorical propositions and three terms to…

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Categorical Proposition

A proposition linking two categories, stating whether some or all of one are part of the other. Crucial for syllogisms…

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Categorical Logic

Categorical logic, rooted in category theory, explores object categorization and the logical underpinnings of categories. It provides a formal framework…

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Categorical Theories in Mathematics

A categorical theory ensures all its models are isomorphic. This means different representations describe the same underlying mathematical structure, providing…

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Carnap-Ramsey Sentence

A Carnap-Ramsey sentence, from logical positivism, isolates a theory's empirical content by distinguishing theoretical terms from observational ones. It's a…

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The Caesar Problem

A philosophical puzzle in language and logic, the Caesar problem questions if mathematical concepts like 'successor' can apply to non-mathematical…

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Buridan’s Sophismata

A collection of paradoxes and logical exercises attributed to Jean Buridan, challenging logical and linguistic intuitions. These sophismata explore complex…

4 days ago