That Sometimes Clear ... And Sometimes Vague

If Even In Science There Is No A Way Of Judging A Theory But By Assessing The Number, Faith And Vocal Energy Of Its Supporters, Then This Must Be Even More So In The Social Sciences: Truth Lies In Power.

Mathematics Does Not Grow Through A Monotonous Increase Of The Number Of Indubitably Established Theorems But Through The Incessant Improvement Of Guesses By Speculation And Criticism, By The Logic Of Proofs And Refutations.

That Sometimes Clear ... And Sometimes Vague Stuff ... Which Is ... Mathematics.

No Experimental Result Can Ever Kill A Theory: Any Theory Can Be Saved From Counterinstances Either By Some Auxiliary Hypothesis Or By A Suitable Reinterpretation Of Its Terms.

The History Of Mathematics, Lacking The Guidance Of Philosophy, [is] Blind, While The Philosophy Of Mathematics, Turning Its Back On The Most Intriguing Phenomena In The History Of Mathematics, Is Empty.