Mathematics, Substance and Surmise Views on the Meaning and Ontology of Mathematics
The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements mak...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2015, 2015
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| Edition: | 1st ed. 2015 |
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- Hardy, Littlewood, and polymath, (Martin and Pease)
- Experimental Computation as an Ontological Game Changer: The Impact of Modern Mathematical Computation Tools on the Ontology of Mathematics (Bailey and Borwein).- Mathematical Products (Davis).-How Should Robots Think about Space? (Azzouni)
- Mathematics and its Applications (Berlinski)
- Nominalism: The Nonexistence of Mathematical Objects (Azzouni)
- An Aristotelian Approach to Mathematical Ontology (Gillies)
- Let G be a Group (Lützen)
- From the Continuum to Large Cardinals (Stillwell)
- Mathematics at Infinity (Gray)
- Mathematics and Language (Avigad)
- Mathematics as Language (Ross)
- Mathematics as Multimodal Semiotics (O'Halloran)
- Problems in Philosophy of Mathematics: A View from Cognitive Science (Piantadosi)
- Beliefs about the Nature of Numbers (Rips)
- What Kind of Thing Might Number Become? (Sinclair)
- Enumerated Entities in Public Policy and Governance (Verran)