Plato’s Problem: An Introduction to Mathematical Platonism

✍ Scribed by Marco Panza, Andrea Sereni

Publisher: Palgrave Macmillan UK
Year: 2013
Tongue: English
Leaves: 323
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, Gödel, Benacerraf, up to the most recent debate on mathematical platonism.

✦ Table of Contents

Front Matter....Pages i-xvi
Introduction....Pages 1-15
The Origins....Pages 16-44
From Frege to Gödel (Through Hilbert)....Pages 45-98
Benacerraf’s Arguments....Pages 99-111
Non-conservative Responses to Benacerraf’s Dilemma....Pages 112-148
Conservative Responses to Benacerraf’s Dilemma....Pages 149-195
The Indispensability Argument: Structure and Basic Notions....Pages 196-216
The Indispensability Argument: The Debate....Pages 217-249
Concluding Remarks....Pages 250-254
Back Matter....Pages 255-306

✦ Subjects

Philosophy of Mathematics; Classical Philosophy; History of Mathematical Sciences; Logic; History of Philosophy

📜 SIMILAR VOLUMES

Plato's problem. An introduction to math

📁 Plato's problem. An introduction to mathematical platonism

✍ Panza, Marco; Sereni, Andrea 📂 Library 📅 2013 🏛 Palgrave Macmillan 🌐 English

What is mathematics about? And if it is about some sort of mathematical reality, how can we have access to it? This is the problem raised by Plato, which is still today the subject of lively philosophical disputes. This book traces the history of the problem, from its origins to its contemporary tre

Plato's Problem: An Introduction to Math

📁 Plato's Problem: An Introduction to Mathematical Platonism

✍ Marco Panza, Andrea Sereni 📂 Library 📅 2013 🏛 Palgrave Macmillan 🌐 English

<DIV>What is mathematics about? And if it is about some sort of mathematical reality, how can we have access to it? This is the problem raised by Plato, which still today is the subject of lively philosophical disputes. This book traces the history of the problem, from its origins to its contemporar

Plato and Platonism: An Introduction

📁 Plato and Platonism: An Introduction

✍ J. N. Findlay 📂 Library 📅 1978 🏛 Times Books 🌐 English

Plato's project, for it can never have been more than a project, remains...one of the most grandiose that man has conceived, and it is still the inspiration of all modern |systematic logic, of physical science and of systematic philosophy. Our aim in this book will ...be to interpret Plato's unwritt

From Plato to Platonism

📁 From Plato to Platonism

✍ Lloyd P. Gerson 📂 Library 📅 2013 🏛 Cornell University Press 🌐 English

From Plato to Platonism

📁 From Plato to Platonism

✍ Lloyd P. Gerson 📂 Library 📅 2013 🏛 Cornell University Press 🌐 English

From Plato to Platonism

📁 From Plato to Platonism

✍ Lloyd P. Gerson 📂 Library 📅 2017 🏛 Cornell University Press 🌐 English

<P>Was Plato a Platonist? While ancient disciples of Plato would have answered this question in the affirmative, modern scholars have generally denied that Plato’s own philosophy was in substantial agreement with that of the Platonists of succeeding centuries. In <I>From Plato to Platonism</I>, Lloy