What does doxastic logic mean?

Definitions for doxastic logic
dox·as·tic log·ic

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

Princeton's WordNet

  1. doxastic logicnoun

    the modal logic of belief and disbelief

Wikipedia

  1. Doxastic logic

    Doxastic logic is a type of logic concerned with reasoning about beliefs. The term doxastic derives from the Ancient Greek δόξα (doxa, "opinion, belief"), from which the English term doxa ("popular opinion or belief") is also borrowed. Typically, a doxastic logic uses the notation B x {\displaystyle {\mathcal {B}}x} to mean "It is believed that x {\displaystyle x} is the case", and the set B : { b 1 , … , b n } {\displaystyle \mathbb {B} :\left\{b_{1},\ldots ,b_{n}\right\}} denotes a set of beliefs. In doxastic logic, belief is treated as a modal operator. There is complete parallelism between a person who believes propositions and a formal system that derives propositions. Using doxastic logic, one can express the epistemic counterpart of Gödel's incompleteness theorem of metalogic, as well as Löb's theorem, and other metalogical results in terms of belief.

Wikidata

  1. Doxastic logic

    Doxastic logic is a modal logic concerned with reasoning about beliefs. The term doxastic derives from the ancient Greek δόξα, doxa, which means "belief." Typically, a doxastic logic uses 'Bx' to mean "It is believed that x is the case," and the set denotes a set of beliefs. In doxastic logic, belief is treated as a modal operator. There is complete parallelism between a person who believes propositions and a formal system that derives propositions. Using doxastic logic, one can express the epistemic counterpart of Gödel's incompleteness theorem of metalogic, as well as Löb's theorem, and other metalogical results in terms of belief.

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Numerology

  1. Chaldean Numerology

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

  2. Pythagorean Numerology

    The numerical value of doxastic logic in Pythagorean Numerology is: 6


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"doxastic logic." Definitions.net. STANDS4 LLC, 2024. Web. 10 May 2024. <https://www.definitions.net/definition/doxastic+logic>.

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