It May Happen That Small Differences In

[t]he Different Branches Of Arithmetic - Ambition [g]eometry Is Not True, It Is Advantageous.

A Sane Mind Should Not Be Guilty Of A Logical Fallacy, Yet There Are Very Fine Minds Incapable Of Following Mathematical Demonstrations.

What Is A Good Definition? For The Philosopher Or The Scientist, It Is A Definition Which Applies To All The Objects To Be Defined, And Applies Only To Them; It Is That Which Satisfies The Rules Of Logic. But In Education It Is Not That; It Is One That Can Be Understood By The Pupils.

Mathematicians Are Born, Not Made.

Doubt Everything Or Believe Everything: These Are Two Equally Convenient Strategies. With Either We Dispense With The Need For Reflection.