Jamie Tappenden on Kit Fine ’ S the Limits of Abstraction
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Frege's Mathematical Setting
Note: This essay was commissioned and written circa 1997 for The Cambridge Companion to Frege, which has not yet appeared. Although quite a bit of good work on Frege and Dedekind’s mathematical antecedents has since appeared (by Jeremy Avigad, Jamie Tappenden and others), I think this essay still provides the student with a useful introduction to many of the central issues. I have since refined...
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[Speaking of a hypothetical mineralogist who rejects color as a basis for classification, preferring crystalline structure or chemical composition:] The introduction of such a concept as a motif for the arrangement of the system is, as it were, a hypothesis which one puts to the inner nature of the science; only in further development does the science answer; the greater or lesser effectiveness...
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In this study, abstraction, desalination and recharge method and SEAWAT numerical model are used to investigate seawater intrusion repulsion in a hypothetical two-dimensional coastal aquifer to understand the relation of seawater intrusion with abstraction, desalination and recharge parameters (i.e. abstraction/recharge rate, wells distance and depth). Abstraction, desalination and recharge con...
متن کاملMathematical Concepts and Definitions
I Definition and Mathematical Practice The basic observation structuring this survey is that mathematicians often set finding the “right” / “proper” / “correct” / “natural” definition as a research objective, and success finding “the proper” definition can be counted as a significant advance in knowledge. Remarks like these from a retrospective on twentieth century algebraic geometry are common:
متن کاملکارایی روش شماره منحنی رواناب (CN- SCS ) در برآورد رواناب در حوزه آبخیز تهم چای، شمال غرب زنجان
The Soil Conservation Service Curve Number (SCS-CN) method is widely used for predicting direct runoff from rainfall events. The ratio of initial abstraction (λ=Ia/S) to maximum potential retention (S) was assumed in its original development to be equal to 0.2 (λ=Ia/S=0.2) in SCS-CN method. Application of the initial abstraction ratio equal to 0.2 out of the area where it has been developed may...
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تاریخ انتشار 2005