In Order To Improve The Mind, We

The Rainbow Is Such A Remarkable Phenomenon Of Nature, And Its Cause Has Been So Meticulously Sought After By Inquiring Minds Throughout The Ages, That I Could Not Choose A More Appropriate Subject For Demonstrating How, With The Method I Am Using, We Can Arrive At Knowledge Not Possessed At All By Those Whose Writings Are Available To Us.

I Am Thing That Thinks: That Is, A Things That Doubts,affirms, Denies, Understands A Few Things, Is Ignorant Of Many Things, Is Willing, Is Unwilling, And Also Which Imagines And Has Sensory Perceptions.

Omnia Apud Me Mathematica Fiunt.

Archimedes, That He Might Transport The Entire Globe ... Demanded Only A Point That Was Firm And Immovable; So Also, I Shall Be Entitled To Entertain The Highest Expectations, If I Am Fortunate Enough To Discover Only One Thing That Is Certain And Indubitable.

Neither The True Nor The False Roots Are Always Real; Sometimes They Are Imaginary; That Is, While We Can Always Imagine As Many Roots For Each Equation As I Have Assigned, Yet There Is Not Always A Definite Quantity Corresponding To Each Root We Have Imagined.