A fundamental theorem in mathematical logic asserting that if every finite subset of a set of sentences is satisfiable, then…
Commutativity is a fundamental property in mathematics where the order of operands in a binary operation does not affect the…
Combinatorialism posits that any arbitrary collection of elements forms a valid mathematical structure, regardless of its definability. This philosophical stance…
Church's theorem proves the undecidability of fundamental decision problems in logic, like the Entscheidungsproblem. It demonstrates that no logic can…
Category theory is a branch of mathematics that abstracts algebraic structures and their relationships. It offers a unifying framework across…
A category is a fundamental structure in mathematics and logic, comprising objects and the relationships (morphisms) between them. It provides…
A categorical theory ensures all its models are isomorphic. This means different representations describe the same underlying mathematical structure, providing…
A modal logic inspired by L.E.J. Brouwer's intuitionism. It grounds possibility in constructivist mathematics, offering a unique perspective on necessity…
A bounded quantifier restricts its scope to a defined domain or set, unlike universal quantifiers. It's crucial for specifying conditions…
Boolean algebra is a branch of mathematics dealing with truth values (true/false). It's fundamental to computer science, digital logic design,…