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How the Law of Excluded Middle Pertains to the Second Incompleteness Theorem and its Boundary-Case Exceptions
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Academic Article
research paper
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title
How the Law of Excluded Middle Pertains to the Second Incompleteness Theorem and its Boundary-Case Exceptions
Creator
Willard, Dan
source
ArXiv
abstract
Our earlier publications showed semantic tableau admits partial exceptions to the Second Incompleteness Theorem where a formalism recognizes its self consistency and views multiplication as a 3-way relation (rather than as a total function). We now show these boundary-case evasions will collapse if the Law of the Excluded Middle is treated by tableau as a schema of logical axioms (instead of as derived theorems).
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2020-06-01
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708913306e8474c5c652c1713ac31fa005fed3a8
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How the Law of Excluded Middle Pertains to the Second Incompleteness Theorem and its Boundary-Case Exceptions
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named entity 'SEMANTIC'
named entity 'MULTIPLICATION'
named entity 'LAW'
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