Plato's Problem
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 contemporary treatment. It discusses the answers given by Aristotle, Proclus and Kant, through Frege's and Russell's versions of logicism, Hilbert's formalism, GApdel's platonism, up to the the current debate on Benacerraf's dilemma and the indispensability argument. Through the considerations of themes in the philosophy of language, ontology, and the philosophy of science, the book aims at offering an historically-informed introduction to the philosophy of mathematics, approached through the lenses of its most fundamental problem.Wewill discuss two versions ofit, Parsonsa#39; versionand Shapiroa#39;s (1997) ante rem structuralism. ... For the sake of brevity, we will saythat a structure is instantiated by a systemif the relations holding between theobjects forming this system accord anbsp;...
| Title | : | Plato's Problem |
| Author | : | Marco Panza, Andrea Sereni |
| Publisher | : | Palgrave Macmillan - 2013-01-21 |
You must register with us as either a Registered User before you can Download this Book. You'll be greeted by a simple sign-up page.
Once you have finished the sign-up process, you will be redirected to your download Book page.
How it works:- 1. Register a free 1 month Trial Account.
- 2. Download as many books as you like (Personal use)
- 3. Cancel the membership at any time if not satisfied.
