overview

Causal Modal Logic

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

2 weeks ago

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…

2 weeks ago

Categorical Syllogism

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

2 weeks ago

Categorical Proposition

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

2 weeks ago

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…

2 weeks ago

The Caesar Problem

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

2 weeks ago

Busy Beaver Problem

The Busy Beaver problem explores the limits of computation by seeking Turing machines that exhibit maximal behavior (output or runtime)…

2 weeks ago

Buridan’s Sophismata

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

2 weeks ago

Brouwerian Modal Logic

A modal logic inspired by L.E.J. Brouwer's intuitionism. It grounds possibility in constructivist mathematics, offering a unique perspective on necessity…

2 weeks ago

Bounded Quantifier Explained

A bounded quantifier restricts its scope to a defined domain or set, unlike universal quantifiers. It's crucial for specifying conditions…

2 weeks ago