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The symbol v variously means "disjunction" (i.e., OR in logic) or "join" (for a lattice).

The use of the principle of mathematical induction in a proof. Induction used in mathematics is often called mathematical induction.

An occurrence of a variable in a logic formula which is not inside the scope of a quantifier.

A term in logic meaning pertaining to truth and falsehood.

The question of whether a solution to a given problem exists. The existence problem can be solved in the affirmative without actually finding a solution to the original ...

Transfinite induction, like regular induction, is used to show a property P(n) holds for all numbers n. The essential difference is that regular induction is restricted to ...

In logic, a statement which cannot be broken down into smaller statements, also simply called an "atom."

A puzzle in logic in which one or more facts must be inferred from a set of given facts.

A tree with a finite number of branches at each fork and with a finite number of leaves at the end of each branch is called a finitely branching tree. König's lemma states ...

An occurrence of a variable in a logic which is not free. Bound variables are also called dummy variables.