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Boolean Algebra as an Introduction to Postulational Methods

 

作者: StablerE. R.,  

 

期刊: The American Mathematical Monthly  (Taylor Available online 1943)
卷期: Volume 50, issue 2  

页码: 106-110

 

ISSN:0002-9890

 

年代: 1943

 

DOI:10.1080/00029890.1943.11991332

 

出版商: Taylor&Francis

 

数据来源: Taylor

 

摘要:

SummaryThe postulational approach to Boolean algebra suggested here seems to have certain possibilities for introducing postulational methods and concepts to persons with little previous knowledge of foundations of mathematics or abstract mathematical systems. Thus, it furnishes a simple approach to the study of consistency, independence, and categoricalness of postulates; and it gives practice in easy formal deduction under novel conditions. at the same time, it serves to emphasize the relative nature of the truth of the theorems in any mathematical system. Finally, by examining two equivalent but quite dissimilar sets of postulates, it suggests that there is considerable freedom of choice as to the undefined concepts and fundamental propositions of such a system.

 

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