Search results for " mathematical structures"
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A Realist Philosophy of Mathematics
2007
The realism/anti-realism debate is one of the traditional central themes in the philosophy of mathematics. The controversies about the existence of the irrational numbers, the complex numbers, the infinitesimals, etc. will be familiar to all who are acquainted with the history of mathematics. This book aims mainly at presenting and defending a non-Platonist form of mathematical structural realism which, in the respect of the history of mathematics, harmonizes with a plausible epistemology that naturally arises from it.
Objects, Structures, and Logics
2022
This book offers Novel In-Depth Discussions of the Relationship Between Logic and Metaphysics Attempts to Develop a New Framework for the Concept of Mathematical Structure Emphasizes the Importance of Mathematical Practice to the Philosophy of Mathematics