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Three Aspects of the Effectiveness of Mathematics in Science
This paper was supported, in part, by National Science Foundation Grant IRI-8996149 to the University of California, Irvine.
https://doi.org/10.1142/9789814503488_0009Cited by:3 (Source: Crossref)
Abstract:
The following sections are included:
Introduction
Infinite Idealizations
Empirical Bases for Number Systems
Extensive Measurement
One Empirical Base for Multiplication: Multiplicative Representations
A Second Empirical Base for Multiplication: Automorphisms
A Third Empirical Basis for Multiplication: Distributive Operations
What Else is Measurable?
Distribution of General Relational Structures in Conjoint Ones
The Use of Non-Empirical Mathematics
Conclusion
References
