A recursive relation defines a relationship based on its own previous terms. This allows for the definition of sequences and…
The recursion theorem, fundamental in computability theory, allows a function to call itself. It has significant implications in computer science,…
Hilary Putnam's argument challenges how we understand reference and truth. It suggests semantic externalism can lead to skepticism about the…
Pure first-order logic is a foundational system in logic, characterized by its exclusion of function symbols and identity. It relies…
Propositional logic is a fundamental branch of logic focusing on propositions as basic units. It uses connectives like AND, OR,…
A propositional function is an expression with variables that becomes a true or false proposition when those variables are assigned…
A method of mathematical proof where a statement is divided into several exhaustive cases. The statement is then proven to…
A theory is Post consistent if it contains at least one unprovable statement. If all statements are provable, the theory…
An extension of first-order logic that incorporates predicates with multiple arguments. This allows for the representation of complex relationships between…
Polish notation, or prefix notation, is a way of writing mathematical and logical expressions. Operators come before their operands, removing…