For Since The Fabric Of The Universe

A Function Of A Variable Quantity Is An Analytic Expression Composed In Any Way Whatsoever Of The Variable Quantity And Numbers Or Constant Quantities.

Madam, I Have Come From A Country Where People Are Hanged If They Talk.

Nothing Takes Place In The World Whose Meaning Is Not That Of Some Maximum Or Minimum.

Mathematicians Have Tried In Vain To This Day To Discover Some Order In The Sequence Of Prime Numbers, And We Have Reason To Believe That It Is A Mystery Into Which The Human Mind Will Never Penetrate.

The Kind Of Knowledge Which Is Supported Only By Observations And Is Not Yet Proved Must Be Carefully Distinguished From The Truth; It Is Gained By Induction, As We Usually Say. Yet We Have Seen Cases In Which Mere Induction Led To Error. Therefore, We Should Take Great Care Not To Accept As True Such Properties Of The Numbers Which We Have Discovered By Observation And Which Are Supported By Induction Alone. Indeed, We Should Use Such A Discovery As An Opportunity To Investigate More Exactly The Properties Discovered And To Prove Or Disprove Them; In Both Cases We May Learn Something Useful.