Weak Excluded Middle in Intuitionistic Logic
The weak excluded middle asserts that for any proposition P, either P…
The Turnstile Symbol (⊢) in Logic
The turnstile symbol (⊢) signifies syntactic entailment or provability in formal logic.…
Single Turnstile Symbol in Logic
The single turnstile (⊢) symbol in logic signifies syntactic entailment. It indicates…
Post Consistency in Formal Theories
A theory is Post consistent if it contains at least one unprovable…
Negation Completeness in Logic
Negation completeness signifies a logical system's ability to prove either any given…
Necessitation Rule in Modal Logic
The necessitation rule in modal logic states that if a proposition is…
Metamathematics
Metamathematics examines mathematical systems and theories from an elevated viewpoint, employing principles…
Löb’s Paradox
Löb's paradox, a puzzle in modal logic, questions the formalization of provability…
Knower’s Paradox
A paradox in epistemic logic concerning self-reference, where a statement claims its…