Win with ability, not with numbers.

 

Win with ability, not with numbers.
--
Quoted in Danchenko and Vydrin, Military Pedagogy, 1973

 

Alexander Suvorov

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Pythagoras, as everyone knows, said that "all things are numbers." This statement, interpreted in a modern way, is logical nonsense, but what he meant was not exactly nonsense. He discovered the importance of numbers in music and the connection which he established between music and arithmetic survives in the mathematical terms "harmonic mean" and "harmonic progression." He thought of numbers as shapes, as they appear on dice or playing cards. We still speak of squares or cubes of numbers, which are terms that we owe to him. He also spoke of oblong numbers, triangular numbers, pyramidal numbers, and so on. These were the numbers of pebbles (or as we would more naturally say, shot) required to make the shapes in question.

 

Pythagoras

 

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 dissimilar to, and I might even say in principle the same as, my method described above of introducing transfinite 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

 

That from the outset they expect or even impose all the properties of finite numbers upon the numbers in question, while on the other hand the infinite numbers, if they are to be considered in any form at all, must (in their contrast to the finite numbers) constitute an entirely new kind of number, whose nature is entirely dependent upon the nature of things and is an object of research, but not of our arbitrariness or prejudices.

 

Georg Cantor

 

The survival of democracy depends on the ability of large numbers of people to make realistic choices in the light of adequate information.

 

Aldous Huxley

 

There is something that is much more scarce, something finer far, something rarer than ability. It is the ability to recognize ability. The sternest comment that can be made against employers as a class lies in the fact that men of Ability usually succeed in showing their worth in spite of their employer, and not with his assistance and encouragement.

 

Elbert Hubbard