theorems

Subtheory: Understanding Theories Within Theories

A subtheory is a specialized theory nested within a broader one. It shares some axioms and theorems but focuses on…

4 days ago

Recursively Axiomatizable Theory

A theory with a recursive set of axioms that can derive all its theorems through logical deduction. This property is…

4 days ago

Post Consistency in Formal Theories

A theory is Post consistent if it contains at least one unprovable statement. If all statements are provable, the theory…

4 days ago

Deductively Equivalent Theories

Two theories are deductively equivalent if they can prove the exact same set of theorems. This means they offer the…

4 days ago