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- Infinitary_logic abstract "Those unfamiliar with mathematical logic or the concept of ordinals are advised to consult those articles first.An infinitary logic is a logic that allows infinitely long statements and/or infinitely long proofs. Some infinitary logics may have different properties from those of standard first-order logic. In particular, infinitary logics may fail to be compact or complete. Notions of compactness and completeness that are equivalent in finitary logic sometimes are not so in infinitary logic. So for infinitary logics the notions of strong compactness and strong completeness are defined. This article addresses Hilbert-type infinitary logics, as these have been extensively studied and constitute the most straightforward extensions of finitary logic. These are not, however, the only infinitary logics that have been formulated or studied.Considering whether a certain infinitary logic named Ω-logic is complete promises to throw light on the continuum hypothesis.".
- Infinitary_logic wikiPageID "630478".
- Infinitary_logic wikiPageRevisionID "605499930".
- Infinitary_logic hasPhotoCollection Infinitary_logic.
- Infinitary_logic subject Category:Non-classical_logic.
- Infinitary_logic subject Category:Systems_of_formal_logic.
- Infinitary_logic type Ability105616246.
- Infinitary_logic type Abstraction100002137.
- Infinitary_logic type Cognition100023271.
- Infinitary_logic type Know-how105616786.
- Infinitary_logic type Logic105664069.
- Infinitary_logic type Method105660268.
- Infinitary_logic type PsychologicalFeature100023100.
- Infinitary_logic type System105661996.
- Infinitary_logic type SystemsOfFormalLogic.
- Infinitary_logic comment "Those unfamiliar with mathematical logic or the concept of ordinals are advised to consult those articles first.An infinitary logic is a logic that allows infinitely long statements and/or infinitely long proofs. Some infinitary logics may have different properties from those of standard first-order logic. In particular, infinitary logics may fail to be compact or complete. Notions of compactness and completeness that are equivalent in finitary logic sometimes are not so in infinitary logic.".
- Infinitary_logic label "Infinitary logic".
- Infinitary_logic label "無限論理".
- Infinitary_logic sameAs 無限論理.
- Infinitary_logic sameAs m.02ykdy.
- Infinitary_logic sameAs Q6029713.
- Infinitary_logic sameAs Q6029713.
- Infinitary_logic sameAs Infinitary_logic.
- Infinitary_logic wasDerivedFrom Infinitary_logic?oldid=605499930.
- Infinitary_logic isPrimaryTopicOf Infinitary_logic.