The Philonian conditional, also known as the material conditional, is a key concept in propositional logic. It formalizes 'if...then...' statements,…
Partial logic explores systems where statements can be neither true nor false. It accommodates undefined terms and indeterminate truth values,…
These paradoxes highlight the counterintuitive nature of the material conditional in logic. They occur when the antecedent is false or…
Ordered logic is a type of formal logic that prohibits weakening and permutation rules. This ensures that inferences made within…
The logical OR is a fundamental connective in logic and programming. It asserts that a compound statement is true if…
Objectual quantifiers are a type of quantifier in formal logic that specifically refer to objects within the domain of discourse,…
An object language is the system or language under examination. It's distinct from the metalanguage, which is used to discuss…
Numerical quantifiers specify exact quantities for predicates, like 'exactly three' or 'at least five'. They are crucial in formal logic…
Normal modal logic is a foundational system in logic that incorporates rules like necessitation and distribution axioms. It enables the…
A negative proposition asserts the absence or non-existence of something, or denies a property of an object. It's a fundamental…