Mathematical Reasoning Is Not Only Exact; It

A Free Society Is A Society In Which All Traditions Have Equal Rights And Equal Access To The Centers Of Power. A Tradition Receives These Rights Not Because The Importance The Cash Value, As It Were) It Has For Outsiders But Because It Gives Meaning To The Lives Of Those Who Participate In It.

Science Is Only ‘one’ Of The Many Instruments People Invented To Cope With Their Surroundings. It Is Not The Only One, It Is Not Infallible And It Has Become Too Powerful, Too Pushy And Too Dangerous To Be Left On Its Own.

The Idea Of A Method That Contains Firm, Unchanging, And Absolutely Binding Principles For Conducting The Business Of Science Meets Considerable Difficulty When Confronted With The Results Of Historical Research. We Find, Then, That There Is Not A Single Rule, However Plausible, And However Firmly Grounded In Epistemology, That Is Not Violated At Some Time Or Another.

Science Is Essentially An Anarchic Enterprise: Theoretical Anarchism Is More Humanitarian And More Likely To Encourage Progress Than Its Law-and-order Alternatives.

The Material Which A Scientist Actually Has At His Disposal, His Laws, His Experimental Results, His Mathematical Techniques, His Epistemological Prejudices, His Attitude Towards The Absurd Consequences Of The Theories Which He Accepts, Is Indeterminate In Many Ways, Ambiguous, And Never Fully Separated From The Historical Background . This Material Is Always Contaminated By Principles Which He Does Not Know And Which, If Known, Would Be Extremely Hard To Test.