Titlebook: Connecting Humans to Equations; A Reinterpretation o Ole Ravn,Ole Skovsmose Book 2019 Springer Nature Switzerland AG 2019 Philosophy of mat

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Springer Nature Switzerland AG 2019

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https://doi.org/10.1007/978-3-7643-8713-6athematics is dealing with. The chapter examines different suggestions. According to Plato, mathematics is about immutable entities that constitute a world of ideas. This world is real—although not palpable to our senses. We cannot sense mathematical objects, but we can grasp them by means of our ra

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https://doi.org/10.1007/978-94-009-0467-5mathematics to the secure foundation that has been established in logic. It suggests how mathematical concepts can be defined in terms of logical concepts, and how mathematical theorems can be derived from logical proposition..The chapter considers Frege’s critique of important philosophic conceptio

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Introduction to tropical geometry,try to demonstrate that mathematics is without contradictions. Meta-mathematics should establish a critical mathematical investigation of mathematics itself. This strategy for a mathematical self-critique was formulated by Hilbert, who did not, as Frege and Russell had suggested, try to establish a