Concluding Remarks

Anatol Rapoport

A chapter in Decision Theory and Decision Behaviour, 1998, pp 434-440 from Palgrave Macmillan

Abstract: Abstract A common pattern in the development of the sciences is the process of generalization. The process is especially clear in the mathematically formalized sciences and is most prominent in mathematics itself. The generalization of the concept of number exemplifies the process. Originally, the extension of the number system from natural integers to fractions and negative numbers was a consequence of practical applications of mathematics to measurement and commercial transactions. But already in ancient Greece with the appearance of mathematics based on strict deduction, extensions of the number system went on independently of practical experience. The concept of the irrational number has no experiential counterpart: one cannot obtain an irrational number as a result of a measurement, for example. These numbers remain ideational concepts.

Keywords: Decision Theory; Cooperative Game; Number System; Solution Concept; Irrational Number (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:pal:palchp:978-0-230-37776-9_23

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DOI: 10.1057/9780230377769_23

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