Abstract
We will show that some basic notions and results of complex analysis can be developed in strict finitism, including the notions of integration, differentiation, 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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References
Bishop, E., and D.S. Bridges. 1985. Constructive analysis. New York: Springer.
Ye, F. 2000. Strict constructivism and the philosophy of mathematics. PhD diss., Princeton University.
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Ye, F. (2011). Complex Analysis. In: Strict Finitism and the Logic of Mathematical Applications. Synthese Library, vol 355. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1347-5_5
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DOI: https://doi.org/10.1007/978-94-007-1347-5_5
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Online ISBN: 978-94-007-1347-5
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