๐”– Bobbio Scriptorium
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Comparison and choice

โœ Scribed by M. R. Sertel; A. V. D. Bellen

Publisher
Springer US
Year
1982
Tongue
English
Weight
663 KB
Volume
14
Category
Article
ISSN
0040-5833

No coin nor oath required. For personal study only.

โœฆ Synopsis

This paper develops the idea of a choice as a mapping of subsets of a set X into their respective subsets and the idea of the comparison, as a relation between elements of X, that is determined or 'revealed' by a choice. It then studies how certain properties of a choice imply or are implied by certain properties, such as acyclicity, quasi-transitivity, pseudo-transitivity and transitivity, of the comparison revealed, finally giving a complete logical diagram of all the implications between these latter properties of the comparison.

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