A few remarks on the (meta)philosophy of mathematics

Main Article Content

Krzysztof Wójtowicz


The present essay deals with the problem of how to choose the correct method of doing philosophy of mathematics taking into account the importance of technical mathematical results for philosophical analysis. After a short historical introduction presenting the formation of the present mathematical paradigm, it is pointed out that the current mathematical praxis has, in principle, no connection with philosophical investigations. Two radically different approaches to philosophy of mathematics are outlined. Basing on selected examples it is argued that the correct method of doing philosophy of mathematics should take into account both technical results obtained by mathematicians (which often throw a new light on old philosophical questions) and the autonomy of philosophical method.

Article Details

How to Cite
Wójtowicz, K. (2007). A few remarks on the (meta)philosophy of mathematics. Philosophical Problems in Science (Zagadnienia Filozoficzne W Nauce), (40), 12–29. Retrieved from https://zfn.edu.pl/index.php/zfn/article/view/281


Davis P.J., Hersh R. [1994] Świat matematyki, Warszawa, WNT.

Krajewski S. [2003] Twierdzenie Gödla i jego interpretacje filozoficzne, Wydawnictwo IFiS PAN, Warszawa.

Maddy P. [1988] „Believing the axioms. I”, Journal of Symbolic Logic, 53, 481–511.

Maddy P. [1988] „Believing the axioms. II”, Journal of Symbolic Logic, 53, 736–764.

Sokal A., Brickmont J. [2004] Modne bzdury. O nadużywaniu pojęć z zakresu nauk ścisłych przez postmodernistycznych intelektualistów, Prószyński i S-ka.

Wójtowicz K. [2003] Spór o istnienie w matematyce, Warszawa, Semper.