Undecidable theories.

Suppose we are given a mathematical theory. Is there an effective procedure which will enable us to decide, for any sentence of the theory, whether or not the sentence is valid in that theory? This is referred to as the decision problem for that theory. If it is answered in the affirmative we say th...

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Bibliographic Details
Main Author: Feldman, Norman.
Other Authors: Lambek, J. (Supervisor)
Format: Others
Language:en
Published: McGill University 1961
Subjects:
Online Access:http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=113389
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-QMM.1133892014-02-13T03:56:53ZUndecidable theories.Feldman, Norman.Mathematics.Suppose we are given a mathematical theory. Is there an effective procedure which will enable us to decide, for any sentence of the theory, whether or not the sentence is valid in that theory? This is referred to as the decision problem for that theory. If it is answered in the affirmative we say that the theory is decidable. If the answer is negative, then we say that the theory is undecidable. There are essentially two methods with which to attack this problem; the direct method and the indirect method.McGill UniversityLambek, J. (Supervisor)1961Electronic Thesis or Dissertationapplication/pdfenalephsysno: NNNNNNNNNTheses scanned by McGill Library.All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.Master of Science. (Department of Mathematics.) http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=113389
collection NDLTD
language en
format Others
sources NDLTD
topic Mathematics.
spellingShingle Mathematics.
Feldman, Norman.
Undecidable theories.
description Suppose we are given a mathematical theory. Is there an effective procedure which will enable us to decide, for any sentence of the theory, whether or not the sentence is valid in that theory? This is referred to as the decision problem for that theory. If it is answered in the affirmative we say that the theory is decidable. If the answer is negative, then we say that the theory is undecidable. There are essentially two methods with which to attack this problem; the direct method and the indirect method.
author2 Lambek, J. (Supervisor)
author_facet Lambek, J. (Supervisor)
Feldman, Norman.
author Feldman, Norman.
author_sort Feldman, Norman.
title Undecidable theories.
title_short Undecidable theories.
title_full Undecidable theories.
title_fullStr Undecidable theories.
title_full_unstemmed Undecidable theories.
title_sort undecidable theories.
publisher McGill University
publishDate 1961
url http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=113389
work_keys_str_mv AT feldmannorman undecidabletheories
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