### What does **classical logic** mean?

# Definitions for classical logic

clas·si·cal log·ic

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **classical logic**.

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### Wiktionary

classical logicnoun

A kind of logic based on the principle that each assertion has a truth value of either "true" or "false", but not both.

### Wikipedia

Classical logic

Classical logic (or standard logic or Frege-Russell logic) is the intensively studied and most widely used class of deductive logic. Classical logic has had much influence on analytic philosophy.

### Wikidata

Classical logic

Classical logic identifies a class of formal logics that have been most intensively studied and most widely used. The class is sometimes called standard logic as well. They are characterised by a number of properties: ⁕Law of the excluded middle and Double negative elimination; ⁕Law of noncontradiction, and the principle of explosion; ⁕Monotonicity of entailment and Idempotency of entailment; ⁕Commutativity of conjunction; ⁕De Morgan duality: every logical operator is dual to another; While not entailed by the preceding conditions, contemporary discussions of classical logic normally only include propositional and first-order logics. The intended semantics of classical logic is bivalent. With the advent of algebraic logic it became apparent however that classical propositional calculus admits other semantics. In Boolean-valued semantics, the truth values are the elements of an arbitrary Boolean algebra; "true" corresponds to the maximal element of the algebra, and "false" corresponds to the minimal element. Intermediate elements of the algebra correspond to truth values other than "true" and "false". The principle of bivalence holds only when the Boolean algebra is taken to be the two-element algebra, which has no intermediate elements.

### Numerology

Chaldean Numerology

The numerical value of classical logic in Chaldean Numerology is:

**2**Pythagorean Numerology

The numerical value of classical logic in Pythagorean Numerology is:

**8**

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"classical logic." *Definitions.net.* STANDS4 LLC, 2024. Web. 14 Nov. 2024. <https://www.definitions.net/definition/classical+logic>.

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