All Good Intellects Have Repeated, Since Bacon's

In The Final, The Positive, State, The Mind Has Given Over The Vain Search After Absolute Notions, The Origin And Destination Of The Universe, And The Causes Of Phenomena, And Applies Itself To The Study Of Their Laws - That Is, Their Invariable Relations Of Succession And Resemblance. Reasoning And Observation, Duly Combined, Are The Means Of This Knowledge. What Is Now Understood When We Speak Of An Explanation Of Facts Is Simply The Establishment Of A Connection Between Single Phenomena And Some General Facts.

Mathematical Analysis Is... The True Rational Basis Of The Whole System Of Our Positive Knowledge.

Every Attempt To Employ Mathematical Methods In The Study Of Chemical Questions Must Be Considered Profoundly Irrational And Contrary To The Spirit Of Chemistry.... If Mathematical Analysis Should Ever Hold A Prominent Place In Chemistry -- An Aberration Which Is Happily Almost Impossible -- It Would Occasion A Rapid And Widespread Degeneration Of That Science.

The Universe Displays No Proof Of An All-directing Mind.

All Good Intellects Have Repeated, Since Bacon's Time, That There Can Be No Real Knowledge But Which Is Based On Observed Facts.