Research Programmes, Besides Their Negative Heuristic, Are

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.

The Positive Heuristic Of The Programme Saves The Scientist From Becoming Confused By The Ocean Of Anomalies.

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.

Philosophy Of Science Without History Of Science Is Empty; History Of Science Without Philosophy Of Science Is Blind.

In Degenerating Programmes, However, Theories Are Fabricated Only In Order To Accommodate Known Facts