About: Ordinal logic

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In mathematics, ordinal logic is a logic associated with an ordinal number by recursively adding elements to a sequence of previous logics. The concept was introduced in 1938 by Alan Turing in his PhD dissertation at Princeton in view of Gödel's incompleteness theorems.

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rdfs:label	Ordinal logic (en)
rdfs:comment	In mathematics, ordinal logic is a logic associated with an ordinal number by recursively adding elements to a sequence of previous logics. The concept was introduced in 1938 by Alan Turing in his PhD dissertation at Princeton in view of Gödel's incompleteness theorems. (en)
dcterms:subject	Systems of formal logic Mathematical logic Ordinal numbers
Wikipage page ID	32123297 (xsd:integer)
Wikipage revision ID	1115874214 (xsd:integer)
Link from a Wikipage to another Wikipage	Systems of Logic Based on Ordinals Mathematics Alan Turing Systems of formal logic Gödel's incompleteness theorems Mathematical logic Ordinal numbers Ordinal number Constructive ordinal
sameAs	Ordinal logic Ordinal logic Ordinal logic Ordinal logic
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Mathlogic-stub
has abstract	In mathematics, ordinal logic is a logic associated with an ordinal number by recursively adding elements to a sequence of previous logics. The concept was introduced in 1938 by Alan Turing in his PhD dissertation at Princeton in view of Gödel's incompleteness theorems. While Gödel showed that every logic system suffers from some form of incompleteness, Turing focused on a method so that a complete system of logic may be constructed from a given system of logic. By repeating the process a sequence L1, L2, … of logic is obtained, each more complete than the previous one. A logic L can then be constructed in which the provable theorems are the totality of theorems provable with the help of the L1, L2, … etc. Thus Turing showed how one can associate logic with any constructive ordinal. (en)
gold:hypernym	Logic
prov:wasDerivedFrom	wikipedia-en:Ordinal_logic?oldid=1115874214&ns=0
page length (characters) of wiki page	1576 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Ordinal_logic
is Link from a Wikipage to another Wikipage of	Systems of Logic Based on Ordinals Alan Turing
is foaf:primaryTopic of	wikipedia-en:Ordinal_logic

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