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Titlebook: Strict Finitism and the Logic of Mathematical Applications; Feng Ye Book 2011 Springer Netherlands 2011 Constructive Mathematics.Construct

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Introduction,apply mathematics. No current philosophy of mathematics, neither Platonism nor nominalism, has resolved these logical puzzles. Finally, a strategy for resolving some of the puzzles and explaining applicability is introduced. I will also discuss how this solution is a naturalistic solution and how it supports nominalism.
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Metric Space, represent discrete population values is an instance of idealization. Idealization helps to ignore and smooth over insignificant details, and therefore it simplifies the models, but it produces models that do not exactly represent real things, especially when idealization to infinity and continuity
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Complex Analysis,entiation, and analytic functions, and including results such as Cauchy’s integral theorem, Cauchy’s integral formula, some properties regarding maximum values and zeros, and the Fundamental Theorem of Algebra.
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Strict Finitism,le format. This will allow us to state ordinary mathematics in strict finitism in an informal way and make it look very similar to classical mathematics. This includes allowing us to talk about sets and functions in strict finitism, although we are not really committed to such entities.
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