Strong Completeness in Logic
Strong completeness in logic means that if a formula is true in…
Object Language Explained
An object language is the system or language under examination. It's distinct…
Negation Consistency in Logic
Negation consistency ensures a logical system is free from contradictions, meaning no…
Negation Completeness in Logic
Negation completeness signifies a logical system's ability to prove either any given…
Metatheorem: Understanding Theorems About Theories
A metatheorem is a theorem that describes properties of a formal system,…
Logic of Weak Excluded Middle (KC)
An intermediate logic derived from propositional logic by incorporating all instances of…
First-Degree Entailment (FDE)
FDE is a logical system that allows propositions to be both true…