A Little Learning Is A Dangerous Thing

There Are Two Modes Of Knowledge: Through Argument And Through Experience. Argument Brings Conclusions And Compels Us To Concede Them, But It Does Not Cause Certainty Nor Remove Doubts That The Mind May Rest In Truth, Unless This Is Provided By Experience.

[i]f In Other Sciences We Should Arrive At Certainty Without Doubt And Truth Without Error, It Behooves Us To Place The Foundations Of Knowledge In Mathematics, In So Far As Disposed Through It We Are Able To Reach Certainty In Other Sciences And Truth By The Exclusion Of Error.

It Is Not Necessarily Impossible For Human Beings To Fly, But It So Happens That God Did Not Give Them The Knowledge Of How To Do It. It Follows, Therefore, That Anyone Who Claims That He Can Fly Must Have Sought The Aid Of The Devil. To Attempt To Fly Is Therefore Sinful.

There Are Four Great Sciences, Without Which The Other Sciences Cannot Be Known Nor A Knowledge Of Things Secured ... Of These Sciences The Gate And Key Is Mathematics ... He Who Is Ignorant Of This [mathematics] Cannot Know The Other Sciences Nor The Affairs Of This World.

All Science Requires Mathematics.