To Ask The Right Question Is Harder

My Theory Stands As Firm As A Rock; Every Arrow Directed Against It Will Return Quickly To Its Archer. How Do I Know This? Because I Have Studied It From All Sides For Many Years; Because I Have Examined All Objections Which Have Ever Been Made Against The Infinite Numbers; And Above All Because I Have Followed Its Roots, So To Speak, To The First Infallible Cause Of All Created Things.

This View [of The Infinite], Which I Consider To Be The Sole Correct One, Is Held By Only A Few. While Possibly I Am The Very First In History To Take This Position So Explicitly, With All Of Its Logical Consequences, I Know For Sure That I Shall Not Be The Last!

The Old And Oft-repeated Proposition "totum Est Majus Sua Parte" [the Whole Is Larger Than The Part] May Be Applied Without Proof Only In The Case Of Entities That Are Based Upon Whole And Part; Then And Only Then Is It An Undeniable Consequence Of The Concepts "totum" And "pars". Unfortunately, However, This "axiom" Is Used Innumerably Often Without Any Basis And In Neglect Of The Necessary Distinction Between "reality" And "quantity", On The One Hand, And "number" And "set", On The Other, Precisely In The Sense In Which It Is Generally False.

Every Transfinite Consistent Multiplicity, That Is, Every Transfinite Set, Must Have A Definite Aleph As Its Cardinal Number.

In Mathematics, The Art Of Asking Questions Is More Valuable Than Solving Problems.