It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success, did not leave us with the proofs of the theorems he discovered. In truth, Messrs Euler and Lagrange, who have not disdained this kind of research, have proved most of these theorems, and have even substituted extensive theories for the isolated propositions of Fermat. But there are several proofs which have resisted their efforts.
Wherever there has been expansion in love or progress in well-being, of individuals or numbers, it has been through the perception, realisation, and the practicalisation of the Eternal Truth-the oneness of all beings
There is competition. It's almost like I'm back in tennis competing in a way. There are usually about twenty composers vying for the number one spot for a big or medium film.
The evil effect of science upon men is principally this, that by far the greatest number of those who wish to display a knowledge of it accomplish no improvement at all of the understanding, but only a perversity of it, not to mention that it serves most of them as a tool of vanity.
Although the outlook is clouded by a number of uncertainties, the central tendencies of the projections .. imply continued good economic performance in the United States.
...What are numbers knit
By force or custom? Man who man would be,
Must rule the empire of himself; in it
Must be supreme, establishing his throne
On vanquished will, quelling the anarchy
Of hopes and fears, being himself alone.
Life is a journey up a spiral staircase; as we grow older we cover the ground covered we have covered before, only higher up; as we look down the winding stair below us we measure our progress by the number of places where we were but no longer are. The journey is both repetitious and progressive; we go both round and upward.
These cruel, wanton, indiscriminate bombings of London are, of course, a part of Hitler's invasion plans. He hopes, by killing large numbers of civilians, and women and children, that he will terrorise and cow the people of this mighty imperial city ... Little does he know the spirit of the British nation, or the tough fibre of the Londoners.
The search which takes place in my studio might best be described as a mining operation, a vertical dig in which a number of discoveries are apt to surface from a single shaft.
QUOTIENT, n. A number showing how many times a sum of money belonging to one person is contained in the pocket of another - usually about as many times as it can be got there.
Far be it from us to doubt that all number is known to Him 'Whose understanding is infinite' (Ps. 147:5). The infinity of number, though there be no numbering of infinite numbers, is yet not incomprehensible by Him Whose understanding is infinite. And thus, if everything which is comprehended is defined or made finite by the comprehension of him who knows it, then all infinity is in some ineffable way made finite to God, for it is comprehensible by His knowledge.
Some Socialists seem to believe that people should be numbers in a State computer. We believe they should be individuals. We are all unequal. No one, thank heavens, is like anyone else, however much the Socialists may pretend otherwise. We believe that everyone has the right to be unequal but to us every human being is equally important.
It has cost me years of thought to arrive at certain results, by many believed to be unattainable, for which there are now numerous claimants, and the number of these is rapidly increasing, like that of the colonels in the South after the war.