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  2. Up tack - Wikipedia

    en.wikipedia.org/wiki/Up_tack

    The truth value 'false', or a logical constant denoting a proposition in logic that is always false (often called "falsum" or "absurdum"). The bottom element in wheel theory and lattice theory, which also represents absurdum when used for logical semantics; The bottom type in type theory, which is the bottom element in the subtype relation.

  3. Truth value - Wikipedia

    en.wikipedia.org/wiki/Truth_value

    In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth, which in classical logic has only two possible values (true or false). [1] [2] Truth values are used in computing as well as various types of logic.

  4. Tee (symbol) - Wikipedia

    en.wikipedia.org/wiki/Tee_(symbol)

    The tee (⊤, \top in LaTeX), also called down tack (as opposed to the up tack) or verum, [1] is a symbol used to represent: . The top element in lattice theory.; The truth value of being true in logic, or a sentence (e.g., formula in propositional calculus) which is unconditionally true.

  5. Law (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Law_(mathematics)

    For any combination of true/false values for P and Q, the left and right sides of the arrow will hold the same truth value after evaluation. The three Laws of thought are: The law of identity: 'Whatever is, is.' [19] For all a: a = a. The law of non-contradiction (alternately the 'law of contradiction' [20]): 'Nothing can both be and not be.' [19]

  6. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Algebra (and later, calculus) can thus be used to solve geometrical problems. Geometry was split into two new subfields: synthetic geometry, which uses purely geometrical methods, and analytic geometry, which uses coordinates systemically. [23] Analytic geometry allows the study of curves unrelated to circles and lines.

  7. Logical equivalence - Wikipedia

    en.wikipedia.org/wiki/Logical_equivalence

    In particular, the truth value of can change from one model to another. On the other hand, the claim that two formulas are logically equivalent is a statement in metalanguage, which expresses a relationship between two statements and . The statements are logically equivalent if, in every model, they have the same truth value.