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UBC Theses and Dissertations
Postulational methods Stallard, Samuel Ernest
Abstract
Since the middle of the 19th century there has been a rapid growth in the use of the postulational method in mathematics. Concurrently with this growth such concepts have arisen as the consistency, independence or completeness of abstract sets of postulates. The definitions of these concepts, as well as the methods used to test postulates for these properties, are widely scattered throughout mathematical and logical, literature. The object of this thesis has been to make a survey of this new field (which we might call Axiomatics) and to indicate some of the techniques used in it. The method has been to take a simple set of postulates (those for the relation of serial order) and then devise proofs for the consistency, completeness, etc. of these postulates. Each proof illustrating one of the methods currently in use for testing postulates.
Item Metadata
Title |
Postulational methods
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1951
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Description |
Since the middle of the 19th century there has been a rapid growth in the use of the postulational method in mathematics. Concurrently with this growth such concepts have arisen as the consistency, independence or completeness of abstract sets of postulates. The definitions of these concepts, as well as the methods used to test postulates for these properties, are widely scattered throughout mathematical and logical, literature. The object of this thesis has been to make a survey of this new field (which we might call Axiomatics) and to indicate some of the techniques used in it.
The method has been to take a simple set of postulates (those for the relation of serial order) and then devise proofs for the consistency, completeness, etc. of these postulates. Each proof illustrating one of the methods currently in use for testing postulates.
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Genre | |
Type | |
Language |
eng
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Date Available |
2012-03-01
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0080626
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.