Plato's Problem : An Introduction to Mathematical Platonism / Marco Panza and Andrea Sereni.
Saved in:
| Uniform Title: | Problema di Platone. English |
|---|---|
| Main Author: | |
| Other Authors: | |
| Language: | English |
| Language of the Original: |
Italian |
| Published: |
Houndmills, Basingstoke, Hampshire ; New York :
Palgrave Macmillan,
2013.
|
| Subjects: | |
| Physical Description: | xvi, 306 pages ; 22 cm |
| Format: | Book |
MARC
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| 100 | 1 | |a Panza, Marco. |0 http://id.loc.gov/authorities/names/nr95010303 | |
| 240 | 1 | 0 | |a Problema di Platone. |l English |
| 245 | 1 | 0 | |a Plato's Problem : |b An Introduction to Mathematical Platonism / |c Marco Panza and Andrea Sereni. |
| 260 | |a Houndmills, Basingstoke, Hampshire ; |a New York : |b Palgrave Macmillan, |c 2013. | ||
| 300 | |a xvi, 306 pages ; |c 22 cm | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (pages 255-295) and index. | ||
| 505 | 0 | 0 | |g 1 |t The Origins |g 16 -- |g 1.1 |t Plato as a Platonist? |g 17 -- |g 1.2 |t Aristotle Between Platonism and Anti-platonism |g 27 -- |g 1.3 |t Proclus: The Neoplatonic Interpretation of Euclid's Geometry |g 32 -- |g 1.4 |t Kant: The Transcendental Interpretation of Classical Arithmetic and Geometry |g 36 -- |g 2 |t From Frege to Gödel (Through Hilbert) |g 45 -- |g 2.1 |t Frege's Logicist Platonism |g 45 -- |g 2.2 |t Russell and the Separation of Logicism and Platonism |g 66 -- |g 2.3 |t Set Theory |g 69 -- |g 2.4 |t The Problem of Foundations |g 73 -- |g 2.5 |t Gödel's Platonism and the Rise of Mathematical Intuition |g 90 -- |g 3 |t Benacerraf's Arguments |g 99 -- |g 3.1 |t What Natural Numbers Could Not Be (According to Benacerraf) |g 101 -- |g 3.2 |t Benacerraf's Dilemma |g 107 -- |g 3.3 |t A Map of Responses to Benacerraf's Dilemma: Contemporary Solutions to Plato's Problem |g 110 -- |g 4 |t Non-conservative Responses to Benacerraf's Dilemma |g 112 -- |g 4.1 |t Field's Nominalism: Mathematics Without Truth and Science Without Numbers |g 112 -- |g 4.2 |t Mathematics as Fiction: Field and Yablo |g 125 -- |g 4.3 |t Eliminative Structuralism and its Modal Version |g 136 -- |g 4.4 |t Maddy and the Cognitive Origins of Set Theory |g 144 -- |g 5 |t Conservative Responses to Benacerraf's Dilemma |g 149 -- |g 5.1 |t Neo-logicism: A Revised Version of Frege's Programme |g 149 -- |g 5.2 |t Linsky, Zalta and 'Object Theory': Mathematics and Logic (or Metaphysics) of Abstract Objects |g 165 -- |g 5.3 |t A First Version of Non-eliminative Structuralism: Ante Rem Structuralism |g 177 -- |g 5.4 |t A Second Version of Non-eliminative Structuralism: Parsons and the Role of Intuition |g 187 -- |g 6 |t The Indispensability Argument: Structure and Basic Notions |g 196 -- |g 6.1 |t Four Versions of IA |g 197 -- |g 6.2 |t The Quine-Putnam Argument and Colyvan's Argument |g 201 -- |g 6.3 |t (In)dispensability |g 203 -- |g 6.4 |t Quine's Criterion of Ontological Commitment |g 210 -- |g 6.5 |t Naturalism |g 212 -- |g 6.6 |t Confirmational Holism |g 214 -- |g 6.7 |t The Dispensability of Naturalism and Confirmational Holism |g 215 -- |g 7 |t The Indispensability Argument: The Debate |g 217 -- |g 7.1 |t Against Indispensability |g 217 -- |g 7.2 |t Against Ontological Commitment |g 224 -- |g 7.3 |t Against Naturalism and Scientific Realism |g 235 -- |g 7.4 |t Against Confirmational Holism |g 241. |
| 650 | 0 | |a Mathematics |x Philosophy. |0 http://id.loc.gov/authorities/subjects/sh85082153 | |
| 700 | 1 | |a Sereni, Andrea, |d 1977- |0 http://id.loc.gov/authorities/names/no2006041217 | |
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