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بنیان‌های ریاضیات

بنیان‌های ریاضیات
بحران‌های ریاضیات
معضلات ریاضیات
فهرست علوم
فهرست مباحث ریاضیات
پارادوکس

https://en.wikipedia.org/wiki/Cantor%27s_paradise

https://plus.maths.org/content/glimpse-cantors-paradise
"No one shall drive us from the paradise which Cantor has created for us."
"Either mathematics is too big for the human mind or the human mind is more than a machine." Kurt Gödel

https://en.wikipedia.org/wiki/Mathematical_logic#Foundations_of_mathematics
. David Hilbert argued in favor of the study of the infinite, saying "No one shall expel us from the Paradise that Cantor has created."

Foundational crisis
Partial resolution of the crisis

Crises in foundations of mathematics
With an invitation from Ronald Mickens in 1987, Lin, along with Wendell Holladay (Vanderbilt University), Saunders Mac Lane (University of Chicago), John Polkinghorne (Cambridge, UK), and others, expressed his opinions[13] from the angle of systems research on Nobel laureate Eugene P. Wigner’s assertion about “the unreasonable effectiveness of mathematics.” Continuing this work, Lin[14] (with a colleague) addressed the problem of knowability of the physical world in 1997. Then in 2008 Lin guest edited a special volume of the international journal Kybernetes on the fourth crisis in the foundations of mathematics along with technical explanations on why the 2nd and the 3rd crises were not resolved as believed in history.[15][16]