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Marco Panza
Andrea Sereni
Plato's problem
an introduction to mathematical Platonism
Marco Panza, Andrea Sereni
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.
1-15
Introduction
Panza Marco; Sereni Andrea
16-44
The origins
Panza Marco; Sereni Andrea
45-98
From Frege to Gödel (through Hilbert)
Panza Marco; Sereni Andrea
99-111
Benacerraf's arguments
Panza Marco; Sereni Andrea
112-148
Non-conservative responses to Benacerraf's dilemma
Panza Marco; Sereni Andrea
149-195
Conservative responses to Benacerraf's dilemma
Panza Marco; Sereni Andrea
196-216
The indispensability argument
Panza Marco; Sereni Andrea
217-249
The indispensability argument
Panza Marco; Sereni Andrea
250-254
Concluding remarks
Panza Marco; Sereni Andrea
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