That Sometimes Clear ... And

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.

One May Rationally Stick To A Degenerating Research Programme Until It Is Overtaken By A Rival And Even After. What One Must Not Do Is To Deny Its Poor Public Record... It Is Perfectly Rational To Play A Risky Game: What Is Irrational Is To Deceive Oneself About The Risk.

Research Programmes, Besides Their Negative Heuristic, Are Also Characterized By Their Positive Heuristic.

Man's Respect For Knowledge Is One Of His Most Peculiar Characteristics. Knowledge In Latin Is Scientia, And Science Came To Be The Name Of The Most Respectable Kind Of Knowledge.

Einstein's Results Again Turned The Tables And Now Very Few Philosophers Or Scientists Still Think That Scientific Knowledge Is, Or Can Be, Proven Knowledge.