A compound statement combines two or more simpler statements using logical connectives. This allows for building complex logical propositions from…
Composition is the art of merging simple elements into a sophisticated whole. It applies to various fields, from art and…
Completeness in logic refers to a system's ability to derive every logically valid formula. It ensures that all truths provable…
A philosophical and mathematical concept representing an actual, completed infinity as a whole, distinct from potential infinities that are indefinitely…
A fundamental theorem in mathematical logic asserting that if every finite subset of a set of sentences is satisfiable, then…
Combinatory terms are fundamental to combinatory logic, a system for exploring computation and function abstraction. They are built using combinators,…
Combinatory logic is a branch of mathematical logic that aims to simplify mathematical expressions by replacing variables with combinators. It…
A robust form of reductio ad absurdum, it proves a proposition P by demonstrating that its negation ¬P leads to…
The Church-Turing thesis posits that any function computable by a human can be computed by a Turing machine. It defines…
Church's theorem proves the undecidability of fundamental decision problems in logic, like the Entscheidungsproblem. It demonstrates that no logic can…