A Tool Is Usually More

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.

Miracles May Be, For Anything We Know To The Contrary, Phenomena Of A Higher Order Of God's Laws, Superior To, And, Under Certain Conditions, Controlling The Inferior Order Known To Us As The Ordinary Laws Of Nature.

As Soon As An Analytical Engine Exists, It Will Necessarily Guide The Future Course Of The Science. Whenever Any Result Is Sought By Its Aid, The Question Will Then Arise — By What Course Of Calculation Can These Results Be Arrived At By The Machine In The Shortest Time?

Remember That Accumulated Knowledge, Like Accumulated Capital, Increases At Compound Interest: But It Differs From The Accumulation Of Capital In This; That The Increase Of Knowledge Produces A More Rapid Rate Of Progress, Whilst The Accumulation Of Capital Leads To A Lower Rate Of Interest. Capital Thus Checks It Own Accumulation: Knowledge Thus Accelerates Its Own Advance. Each Generation, Therefore, To Deserve Comparison With Its Predecessor, Is Bound To Add Much More Largely To The Common Stock Than That Which It Immediately Succeeds.

Long Intervals Frequently Elapse Between The Discovery Of New Principles In Science And Their Practical Application... Those Intellectual Qualifications, Which Give Birth To New Principles Or To New Methods, Are Of Quite A Different Order From Those Which Are Necessary For Their Practical Application.