All Science Requires Mathematics.

As Regards Authority I So Proceed. Boetius Says In The Second Prologue To His Arithmetic, 'if An Inquirer Lacks The Four Parts Of Mathematics, He Has Very Little Ability To Discover Truth.' And Again, 'without This Theory No One Can Have A Correct Insight Into Truth.' And He Says Also, 'i Warn The Man Who Spurns These Paths Of Knowledge That He Cannot Philosophize Correctly.' And Again, 'it Is Clear That Whosoever Passes These By, Has Lost The Knowledge Of All Learning.'

For If Any Man Who Never Saw Fire Proved By Satisfactory Arguments That Fire Burns. His Hearer's Mind Would Never Be Satisfied, Nor Would He Avoid The Fire Until He Put His Hand In It That He Might Learn By Experiment What Argument Taught.

No One Really Knew The Sciences Except The Lord Robert, Bishop Of Lincoln, By Reason Of His Length Of Life And Experience, As Well As Of His Studiousness And Zeal. He Knew Mathematics And Perspective, And There Was Nothing Which He Was Unable To Know; And At The Same Time He Was Sufficiently Acquainted With Languages To Be Able To Understand The Saints And The Philosophers And The Wise Men Of Antiquity But His Knowledge Of Languages Was Not Such As To Enable Him To Effect Translations Until The Latter Portion Of His Life.

There Are In Fact Four Very Significant Stumbling Blocks In The Way Of Grasping The Truth, Which Hinder Every Man However Learned, And Scarcely Allow Anyone To Win A Clear Title To Wisdom, Namely, The Example Of Weak And Unworthy Authority, Longstanding Custom, The Feeling Of The Ignorant Crowd, And The Hiding Of Our Own Ignorance While Making A Display Of Our Apparent Knowledge.

There Are Two Modes Of Acquiring Knowledge, Namely By Reasoning And Experience. Reasoning Draws A Conclusion And Makes Us Grant The Conclusion, But Does Not Make The Conclusion Certain, Nor Does It Remove Doubt So That The Mind May Rest On The Intuition Of Truth, Unless The Mind Discovers It By The Path Of Experience.