Of The Many Forms Of False Culture,

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.

The General Laws Of Nature Are Not, For The Most Part, Immediate Objects Of Perception.

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.

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.