Well, As You Know, There

Incidentally, When We're Faced With A "prove Or Disprove," We're Usually Better Off Trying First To Disprove With A Counterexample, For Two Reasons: A Disproof Is Potentially Easier (we Need Just One Counterexample); And Nitpicking Arouses Our Creative Juices. Even If The Given Assertion Is True, Our Search For A Counterexample Often Leads To A Proof, As Soon As We See Why A Counterexample Is Impossible. Besides, It's Healthy To Be Skeptical.

Someone Has Said That All The Great Jugglers Are Dead.

The Ultimate Goal Of Mathematics Is To Eliminate All Need For Intelligent Thought.

I Was Reminded Of The Sydney Harris Cartoon That Said 'adding Two Numbers That Have Not Been Added Before Does Not Constitute A Mathematical Breakthrough'.

Someone Has Remarked That 'an Ideal Math Talk Should Have One Proof And One Joke And They Should Not Be The Same'.