No Matter How Correct A Mathematical Theorem

To Unfold The Secret Laws And Relations Of Those High Faculties Of Thought By Which All Beyond The Merely Perceptive Knowledge Of The World And Of Ourselves Is Attained Or Matured, Is A Object Which Does Not Stand In Need Of Commendation To A Rational Mind.

Of The Many Forms Of False Culture, A Premature Converse With Abstractions Is Perhaps The Most Likely To Prove Fatal To The Growth Of A Masculine Vigour Of Intellect.

It Follows That The Word Probability, In Its Mathematical Acceptance, Has Reference To The State Of Our Knowledge Of The Circumstances Under Which An Event May Happen Or Fail. With The Degree Of Information We Possess Concerning The Circumstances Of An Event, The Reason We Have To Think That It Will Occur, Or, To Use A Single Term, Our Expectation Of It Will Vary. Probability Is The Expectation Founded Upon Partial Knowledge.

It Is Not Of The Essence Of Mathematics To Be Conversant With The Ideas Of Number And Quantity.

That Language Is An Instrument Of Human Reason, And Not Merely A Medium For The Expression Of Thought, Is A Truth Generally Admitted.