Podmiot matematyczny Hilberta

• Authors: Bartosz Brożek , Adam Olszewski

Title variants

EN

Hilbert’s mathematical subject

• Languages of publication: PL

Abstracts

PL

The aim of this paper is threefold. First, on the basis of Gordan’s problem and Hilbert’s basis theorem we want to say a few words about the formation of Hilbert’s philosophy of mathematics in the late nineteenth and early twentieth centuries. Second, we attempt to reconstruct Hilbert’s Program highlighting the role of reasoning which is not conducted within the axiomatic system. Third, we formulate and try to justify the claim that Hilbert’s Program assumes some metaphysics of the subject that – in general terms – is identical with Kant’s transcendental subject.

Keywords

PL

philosophy of mathematics; mathematical subject; David Hilbert

• Publisher: Copernicus Center Press
• Journal: Zagadnienia Filozoficzne w Nauce
• Year: 2013
• Issue: 53
• Pages: 93-132

Dates

published

2013-12-12

Contributors

author

Bartosz Brożek

author

Adam Olszewski