G.W. Leibniz’ s quote
0.1 “Does Mathematics need any Philosophy ?”
0.1.1 Famous quote from Gottfried Wilhelm (von) Leibniz – both mathematician and philosopher:
A liberal translation from the original in French quoted below is:
- 1.
Without Mathematics one cannot understand the fundamentals of Philosophy.
- 2.
Without Philosophy we cannot reach the Foundation of Mathematics.
- 3.
Without both (Mathematics and Philosophy) one cannot reach anything that is fundamental.
- 1.
“Sans les mathématiques on ne pénétre point au fond de la philosophie.
- 2.
Sans la philosophie on ne pénétre point au fond des mathématiques.
- 3.
Sans les deux on ne pénétre au fond de rien.”
-by G. W. Leibniz-
References
http://www.dpmms.cam.ac.uk/ wtg10/Timothy Gowers, “Does mathematics need a philosophy?”http://www.dpmms.cam.ac.uk/ wtg10/philosophy.htmlPlato vs. Formalism, Logicism,… and so on