A Tool Is Usually More Simple Than

In Mathematical Science, More Than In All Others, It Happens That Truths Which Are At One Period The Most Abstract, And Apparently The Most Remote From All Useful Application, Become In The Next Age The Bases Of Profound Physical Inquiries, And In The Succeeding One, Perhaps, By Proper Simplification And Reduction To Tables, Furnish Their Ready And Daily Aid To The Artist And The Sailor.

A Tool Is Usually More Simple Than A Machine; It Is Generally Used With The Hand, Whilst A Machine Is Frequently Moved By Animal Or Steam Power.

The Whole Of The Developments And Operations Of Analysis Are Now Capable Of Being Executed By Machinery ... As Soon As An Analytical Engine Exists, It Will Necessarily Guide The Future Course Of Science.

The Errors Which Arise From The Absence Of Facts Are Far More Numerous And More Durable Than Those Which Result From Unsound Reasoning Respecting True Data.

Errors Using Inadequate Data Are Much Less Than Those Using No Data At All.