A fundamental principle in formal logic that permits substituting logically equivalent expressions within proofs. This ensures the argument's validity is…
Quine's dictum, "To be is to be the value of a variable," posits that ontological commitment arises from the variables…
NP-complete problems are the hardest in the NP class. Any NP problem can be transformed into an NP-complete one in…
Model-theoretic consequence is a fundamental concept in logic, defining logical implication through the interpretation of formulas in models. It ensures…
The material conditional, symbolized as 'if...then...', is a fundamental logical operator. It asserts that a conditional statement is true in…
A fundamental theorem in mathematical logic stating that any countable theory with an infinite model has models of all infinite…
Logical consequence describes the relationship where true premises guarantee a true conclusion due to the statements' logical structure. It's fundamental…
The iteration theorem, also known as the Smn theorem, is a fundamental result in computability theory. It states that for…
Ex falso quodlibet, or the principle of explosion, is a logical tenet where any conclusion, true or false, can be…
The distribution axiom, often referred to as axiom K, is fundamental in modal logic. It asserts that if a proposition…