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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.

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.

I Am Fully Assured, That No General Method For The Solution Of Questions In The Theory Of Probabilities Can Be Established Which Does Not Explicitly Recognize, Not Only The Special Numerical Bases Of The Science, But Also Those Universal Laws Of Thought Which Are The Basis Of All Reasoning, And Which, Whatever They May Be As To Their Essence, Are At Least Mathematical As To Their Form.

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

No Matter How Correct A Mathematical Theorem May Appear To Be, One Ought Never To Be Satisfied That There Was Not Something Imperfect About It Until It Also Gives The Impression Of Being Beautiful.