What does intuitionistic logic mean?

Definitions for intuitionistic logic
in·tu·ition·is·tic log·ic

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

Wiktionary

  1. intuitionistic logicnoun

    A type of logic which rejects the axiom law of excluded middle or, equivalently, the law of double negation and/or Peirce's law. It is the foundation of intuitionism.

Wikidata

  1. Intuitionistic logic

    Intuitionistic logic, or constructive logic, is a symbolic logic system that differs from classical logic in its definition of what it means for a statement to be true. In classical logic, all well-formed statements are assumed to be either true or false, even if we do not have a proof of either. In constructive logic, a statement is "true" only if there is a constructive proof that it is true, and "false" only if there is a constructive proof that it is false. Operations in constructive logic preserve justification, rather than truth. Syntactically, intuitionistic logic is a restriction of classical logic in which the law of excluded middle and double negation elimination are not axioms of the system, and cannot be proved. There are several semantics commonly employed. One semantics mirrors classical Boolean-valued semantics but uses Heyting algebras in place of Boolean algebras. Another semantics uses Kripke models. Constructive logic is practically useful because its restrictions produce proofs that have the existence property, making it also suitable for other forms of mathematical constructivism. Informally, this means that if you have a constructive proof that an object exists, you can turn that constructive proof into an algorithm for generating an example of it.

How to pronounce intuitionistic logic?

How to say intuitionistic logic in sign language?

Numerology

  1. Chaldean Numerology

    The numerical value of intuitionistic logic in Chaldean Numerology is: 9

  2. Pythagorean Numerology

    The numerical value of intuitionistic logic in Pythagorean Numerology is: 3

Translation

Find a translation for the intuitionistic logic definition in other languages:

Select another language:

  • - Select -
  • 简体中文 (Chinese - Simplified)
  • 繁體中文 (Chinese - Traditional)
  • Español (Spanish)
  • Esperanto (Esperanto)
  • 日本語 (Japanese)
  • Português (Portuguese)
  • Deutsch (German)
  • العربية (Arabic)
  • Français (French)
  • Русский (Russian)
  • ಕನ್ನಡ (Kannada)
  • 한국어 (Korean)
  • עברית (Hebrew)
  • Gaeilge (Irish)
  • Українська (Ukrainian)
  • اردو (Urdu)
  • Magyar (Hungarian)
  • मानक हिन्दी (Hindi)
  • Indonesia (Indonesian)
  • Italiano (Italian)
  • தமிழ் (Tamil)
  • Türkçe (Turkish)
  • తెలుగు (Telugu)
  • ภาษาไทย (Thai)
  • Tiếng Việt (Vietnamese)
  • Čeština (Czech)
  • Polski (Polish)
  • Bahasa Indonesia (Indonesian)
  • Românește (Romanian)
  • Nederlands (Dutch)
  • Ελληνικά (Greek)
  • Latinum (Latin)
  • Svenska (Swedish)
  • Dansk (Danish)
  • Suomi (Finnish)
  • فارسی (Persian)
  • ייִדיש (Yiddish)
  • հայերեն (Armenian)
  • Norsk (Norwegian)
  • English (English)

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:


Citation

Use the citation below to add this definition to your bibliography:

Style:MLAChicagoAPA

"intuitionistic logic." Definitions.net. STANDS4 LLC, 2024. Web. 16 Apr. 2024. <https://www.definitions.net/definition/intuitionistic+logic>.

Discuss these intuitionistic logic definitions with the community:

0 Comments

    Are we missing a good definition for intuitionistic logic? Don't keep it to yourself...

    Image or illustration of

    intuitionistic logic

    Credit »

    Free, no signup required:

    Add to Chrome

    Get instant definitions for any word that hits you anywhere on the web!

    Free, no signup required:

    Add to Firefox

    Get instant definitions for any word that hits you anywhere on the web!

    Browse Definitions.net

    Quiz

    Are you a words master?

    »
    an unfortunate mishap; especially one causing damage or injury
    A investigating
    B accident
    C slip
    D temptation

    Nearby & related entries:

    Alternative searches for intuitionistic logic: