Philosophy Of Mathematics

Rudolf Carnap

Philosophy

Positivism

1891–1970

"In science there are no 'depths'; there is surface everywhere."

🇺🇸Kurt Gödel

Philosophy

1906–1978

"National Academy of Sciences Biographical Memoir"

🇬🇧Frank P. Ramsey

Mathematics

1903–1930

"lthough my attempted reconstruction of the view of Whitehead and Russell overcomes, I think, many of the difficulties, it is impossible to regard it as altogether satisfactory."

🇫🇷Henri_Bergson

Philosophy

Analytic philosophy

1859–1941

"Intuition is a method of feeling one's way intellectually into the inner heart of a thing to locate what is unique and inexpressible in it."

"Aristotle had considered the question of whether space is infinite and gave six nonmathematical arguments to prove that it is finite; he foresaw that this question would be troublesome."

🇫🇷Pierre Boutroux

Mathematics

1880–1922

"Ingels: Logic is invincible because in order to combat logic it is necessary to use logic."

🇬🇧Michael Dummett

Philosophy

Analytic philosophy

1925–2011

"Such were the lucidity of exposition and his mastery of the topic that it seems possible that, had he ever published it, the political theory of Britain would have been significantly different."

Georg Cantor

Mathematics

1845–1918

"I realize that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers."