A mathematical proof technique used to establish the truth of statements for all natural numbers or other well-ordered sets. It…
A formal logic and mathematics proof technique. It verifies properties for basic formulas and ensures they are maintained through operations…
Mathematical induction is a powerful proof technique used to establish the truth of a statement for all natural numbers. It…
Exploring the individual as an indivisible, atomistic entity in metaphysics, logic, and philosophy of language. Understanding its fundamental role in…
Indiscernibility refers to the inability to distinguish between objects because they share all properties. This concept is fundamental to the…
An indirect proof, also known as proof by contradiction, involves assuming the opposite of what you want to prove. If…
An indicative conditional expresses factual implications or predictions about real situations. It differs from counterfactuals, focusing on what is or…
Independent propositions are those that have no logical relationship of contradiction, implication, or equivalence. Their truth values do not affect…
Independence-Friendly (IF) logic extends first-order logic, enabling richer expressions of quantifier scope and dependence. It's particularly useful in game-theoretical semantics…
An independence result demonstrates that a statement is neither provable nor disprovable within a specific axiomatic system, assuming the system's…