Corpus ID: 32155253

Please Read How You Can Help Keep the Encyclopedia Free Nominalism in the Philosophy of Mathematics

@inproceedings{2013PleaseRH,
  title={Please Read How You Can Help Keep the Encyclopedia Free Nominalism in the Philosophy of Mathematics},
  author={},
  year={2013}
}
  • Published 2013
objects | mathematics, philosophy of | mathematics, philosophy of: indispensability arguments in the | mathematics, philosophy of: Platonism | nominalism: in metaphysics | ontological commitment | Platonism: in metaphysics | plural quantification | Quine, Willard van Orman 
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TLDR
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References

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Reason's Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics
I. ONTOLOGY AND ABSTRACTION PRINCIPLES II. RESPONSES TO CRITICS III. HUME'S PRINCIPLE IV. ON THE DIFFERENTIATION OF ABSTRACTA V. BEYOND NUMBER-THEORY
A Nominalist's Dilemma and its Solution
Current versions of nominalism in the philosophy of mathematics have the benefit of avoiding commitment to the existence of mathematical objects. But this comes with a cost: to avoid commitment toExpand
Mathematics and Reality
1. Introduction 2. Naturalism and Ontology 3. The Indispensability of Mathematics 4. Naturalism and Mathematical Practice 5. Naturalism and Scientific Practice 6. Naturalized Ontology 7. MathematicsExpand
Constructibility and mathematical existence
PART I: THE CONSTRUCTIBILITY THEORY: The Problem of Existence in Mathematics The Constructibility Quantifiers Constructibility and Open-Sentences The Deductive System Cardinality and Number TheoryExpand
Philosophy of mathematics : structure and ontology
Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted livelyExpand
There is No Easy Road to Nominalism
Hartry Field has shown us a way to be nominalists: we must purge our scientific theories of quantification over abstracta and we must prove the appropriate conservativeness results. This is not aExpand
Mathematics as a science of patterns
Mathematics as a Science of Patterns is the definitive exposition of a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In callingExpand
On the Plurality of Worlds.
Preface. 1. A Philosopher's Paradise. The Thesis of Pluraliry of Worlds. Modal Realism at Work: Modality. Modal Realism at Work: Closeness. Modal Realism at Work: Content. Modal Realism at Work:Expand
A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics
Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of theExpand
Metaphysical Myths, Mathematical Practice: The Ontology and Epistemology of the Exact Sciences
Acknowledgements Part I. Mathematical Practice and its Puzzles: 1. Metaphysical inertness 2. Metaphysical inertness and reference 3. The virtues of (second-order) theft 4. Intuitions about referenceExpand
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