Frege's theorem establishes that arithmetic is reducible to logic. It demonstrates how basic arithmetic principles can be derived from logical…
A free variable in logic and mathematics is one not bound by quantifiers or assigned a specific value. It represents…
Free logic is a formal system that permits terms without existing referents, unlike classical logic, which presumes all terms denote…
A sequence of numbers where each element is chosen without any predetermined rule or algorithm. It's a concept central to…
Frame semantics is a linguistic theory using conceptual 'frames' to understand how language conveys meaning by representing stereotypical situations and…
A frame in modal logic defines a set of possible worlds and the accessibility relation between them. It serves as…
A formula is a true or false expression in a formal language. It uses variables and logical connectives to construct…
Formation rules define the syntax of a formal language, dictating how basic symbols combine to create valid, well-formed formulas. These…
A formal system is a set of symbols and rules for manipulating them, used to derive statements or theorems in…
Formal semantics explores the connection between formal systems, particularly in logic and linguistics, and their conceptual or referential meanings. It…