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Podmiot matematyczny Hilberta

100%
Brożek B., Olszewski A.
Zagadnienia Filozoficzne w Nauce
|
2013
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issue 53
93-132
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.
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Matematyka czy teologia? Hilbert, Gordan i początki formalizmu

88%
Olszewski A.
Zagadnienia Filozoficzne w Nauce
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2012
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issue 51
131-149
PL
The aim of the article is two-fold: first, to analyse the impact Gordan’s problem had on Hilbert’s Programme and, secondly, to discuss, mainly from the theological standpoint, Gordan’s phrase: ”This is not Mathematics, this is Theology”.
3

Geneza i podstawy filozofii matematyki krytycznej Leonarda Nelsona

51%
Kubalica T.
IDEA. Studia nad strukturą i rozwojem pojęć filozoficznych
|
2017
|
vol. 29/1
EN
The article concerns the history of philosophical relationships between philosophers and mathematicians associated with the New Friesian School. The aim is to show the complex relationship between the doctrines of the philosophical precursors of this school, such as Immanuel Kant, Jakob Friedrich Fries and Ernst Friedrich Apelt, as well as the presentation of the major philosophical-mathematical inspirations of the mathematician such as David Hilbert. Nelson's mathematical and philosophical relationships with Gerhard Wilhelm Hessenberg and Kurt Grelling have influenced the Neo-Friesian philosophy of critical mathematics.
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