A Quote by Georg Cantor

Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal number.

Georg Cantor

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Cardinal Consistent Definite Every Multiplicity Must Number Set

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Georg Cantor
German - Mathematician
March 3, 1845 - January 6, 1918

The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational numbers is wholly disimilar to, and I might even say in priciple the same as, my method described above of introducing trasfinite numbers. One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite.

Georg Cantor

What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending lader of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers.

Georg Cantor

If any sort of error is inexcusable, it's an incorrect phone number. One of the cardinal rules of copy editing is that every phone number published must be checked.

Bill F. Walsh

The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers.

Georg Cantor

Every well built house started in the form of a definite purpose plus a definite plan in the nature of a set of blueprints.

Napoleon Hill

The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds.

Georg Cantor

In a free Government, the security for civil rights must be the same as that for religious rights. It consists in the one case in the multiplicity of interests, and in the other in the multiplicity of sects. The degree of security in both cases, will depend on the number of interests and sects; and this may be presumed to depend on the extent of country and number of People comprehended under the same Government.

James Madison

It is surprising that people do not believe that there is imagination in science. It is a very interesting kind of imagination, unlike that of the artist. The great difficulty is in trying to imagine something that you have never seen, that is consistent in every detail with what has already been seen, and that is different from what has been thought of; furthermore, it must be definite and not a vague proposition. That is indeed difficult.

Richard P. Feynman

The multiplicity of facts and writings is become so great that every thing must soon be reduced to extracts and dictionaries.

Voltaire

The egg of every species of animal or plant carries a definite number of bodies called chromosomes. The sperm carries the same number. Consequently, when the sperm unites with the egg, the fertilized egg will contain the double number of chromosomes.

Thomas Hunt Morgan

So what we have tried to do in our later buildings is to try to be completely consistent, as a painter is consistent or as a sculptor is consistent. Architecture also must be very consistent.

Minoru Yamasaki

Big money tries to purchase its own agenda. Money does too much talking in Washington. Every senator, every representative, even the president awakens each morning with a number in his head that will drive the whole day. The number is the amount of money that must [be] raised that day for his reelection. If he fails, the next day's number will be even higher.

Patricia Schroeder

The religion of the name of the seas will triumph against the sect of the son of Adaluncatif; The obstinate, lamented sect will be fearful of the two wounded by Aleph and Aleph.

Nostradamus

I try to sing every number to the best of my ability, and I am glad people like it. I believe every number is special with a soul of its own.

Mohit Chauhan

Every sentence in order to have definite scientific meaning must be practically or at least theoretically verifiable as either true or false upon the basis of experimental measurements either practically or theoretically obtainable by carrying out a definite and previously specified operation in the future. The meaning of such a sentence is the method of its verification.

Walter A. Shewhart

You set a goal to be the best and then you work hard every hour of every day, striving to reach that goal. If you allow yourself to settle for anything less than number one, you are cheating yourself.

Don Shula

A Quote by Georg Cantor

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