In Degenerating Programmes, However, Theories Are Fabricated

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

Indeed, This Epistemological Theory Of The Relation Between Theory And Experiment Differs Sharply From The Epistemological Theory Of Naive Falsificationism.

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.

The Proving Power Of The Intellect Or The Senses Was Questioned By The Skeptics More Than Two Thousand Years Ago; But They Were Browbeaten Into Confusion By The Glory Of Newtonian Physics.

The Great Scientific Achievements Are Research Programmes Which Can Be Evaluated In Terms Of Progressive And Degenerative Problemshifts; And Scientific Revolutions Consist Of One Research Programme Superceding (overtaking In Progress) Another. This Methodology Offers A New Rational Reconstruction Of Science.