Argument Is Conclusive, But It Does Not

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.'

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.

Argument Is Conclusive, But It Does Not Remove Doubt, So That The Mind May Rest In The Sure Knowledge Of The Truth, Unless It Finds It By The Method Of Experiment.

But We Must Here State That We Should Not See Anything If There Were A Vacuum. But This Would Not Be Due To Some Nature Hindering Species, And Resisting It, But Because Of The Lack Of A Nature Suitable For The Multiplication Of Species; For Species Is A Natural Thing, And Therefore Needs A Natural Medium; But In A Vacuum Nature Does Not Exist.

For The Things Of This World Cannot Be Made Known Without A Knowledge Of Mathematics.