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In Bishop's monograph the natural numbers are taken as a fundamental concept on which all the other mathematical concepts are based.
Unlike physical objects and properties, mathematical objects do not exist in space and time, and mathematical concepts are not instantiated in space or time.
Mathematical concepts are impervious to bias, prejudice or otherwise-idiosyncratic definitions and their relative properties are clear to anyone who understands them perfectly.
Mathematical concepts are discussed in this context since they are unique in being pure but also sensible concepts: they are pure because they are strictly a priori in origin, and yet they are sensible since they are constructed in concreto.
Our result is fully analogous to the standard representation and uniqueness theorem of extensive measurement, and only simple and familiar mathematical concepts are assumed.
In designing and analyzing cryptosystems and protocols, mathematical concepts are critical in supporting the claim that the intended cryptosystem is secure.
Similar(50)
Yet his account of those mathematical concepts was never convincing to mathematicians and philosophers of mathematics in the analytic tradition.
Rather, Hintikka (1996: 184) proposes to ask: (a) Can the crucial mathematical concepts be defined in logical terms?
The distribution of the items for each of the key mathematical concepts is presented in Table 1.
But given that the crucial definitions of mathematical concepts were stated in terms of extensions, the inconsistency in Basic Law V undermined Frege's attempt to establish the thesis of logicism.
Using MAPLE in teaching and learning mathematical concepts is a great challenge both from a didactical and a scientific point of view.
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