We all have special numbers in our lives, and 4 is that for me. It's the day I was born. My mother's birthday, and a lot of my friends' birthdays are on the fourth; April 4 is my wedding date.
Nothing can be more hurtful to the service, than the neglect of discipline; for that discipline, more than numbers, gives one army the superiority over another.george washington
To emphasize only the beautiful seems to me to be like a mathematical system that only concerns itself with positive numbers.Paul Klee
I think, therefore, that we ought to take great numbers of hoplites , both from Athens and from our allies, and not merely from our subjects, but also any we may be able to get for love or money in the Peloponnesus, and great numbers also of archers and slingers, to oppose the Sicilian horse.
One of the heresiarchs of Uqbar had stated that mirrors and copulation are abominable, since they both multiply the numbers of man.jorge luis borges
A single grain of sand can have an influence far out of proportion to its size, but when it gathers together with vast numbers of its colleagues, very strange things can indeed happen.
Saudi Arabia has one of the highest rates of executions in the world in both absolute numbers and per capita. The death penalty applies to a wide range of non-violent activities such as apostasy and "witchcraft", "sexual offences", acts deemed to amount to "corruption on earth", and crimes such as drug dealing.
Most of us are unaware of our deep-seated faith in numbers.carl eckart
The integers, the rationals, and the irrationals, taken together, make up the continuum of real numbers. It's called a continuum because the numbers are packed together along the real number line with no empty spaces between them.brian hayes
Number, as it were, lies behind the psychic realm as a dynamic ordering principle, the primal element of which Jung called spirit. As an archetype, number becomes not only a psychic factor, but more generally, a world-structuring factor. In other words, numbers point to a background reality in which psyche and matter are no longer distinguishable.marie-louise von franz
Bacon expresses theological and moral truths in terms of mathematical phraseology. He compares the Trinity to an equilateral triangle, argues that the divine light of grace reaches the good in a direct perpendicular ray, the weak in a refracted ray, and the bad in a reflected ray, and compares the virtues to the rational numbers, and the passions to the irrational, etc.roger bacon
The obvious mathematical breakthrough would be development of an easy way to factor large prime numbers.bill gates
Bacon expresses theological and moral truths in terms of mathematical phraseology. He compares the Trinity to an equilateral triangle, argues that the divine light of grace reaches the good in a direct perpendicular ray, the weak in a refracted ray, and the bad in a reflected ray, and compares the virtues to the rational numbers, and the passions to the irrational, etc.
It seems probable that the early Greeks were largely indebted to the Phoenicians for their knowledge of practical arithmetic or the art of calculation, and perhaps also learnt from them a few properties of numbers. It may be worthy of note that Pythagoras was a Phoenician; and according to Herodotus , but this is more doubtful, Thales was also of that race.
Hungry gentry now pillage, maraud as they please, In the barn Baptist greatly beasts' numbers decreased 'Sprinkling' heads of two oxen, two calves and one goat, While Razor his sabre sank deep in each throat. Awl, with his rapier, also ran up to their aid Sticking old boars and piglets below shoulder blade. Now death threatens the poultry – the geese, alert flocks, Which once saved Rome from Gauls in the dark climbing rocks, Vainly cackle for succour; no Manlius will come...
I do hate sums, There is no greater mistake than to call arithmetic an exact science. There are Permutations and Aberrations discernible to minds entirely noble like mine; subtle variations which ordinary accountants fail to discover; hidden laws of numbers which it requires a mind like mine to perceive. For instance, if you add a sum from the bottom up, and then again from the top down, the result is always different.
Random numbers should not be generated with a method chosen at random.donald knuth
These movies belonged to the twentieth and early twenty-first centuries that period of great, unsustainable, and hedonistic prosperity, driven by the burning of Earth’s reserves of perishable oil, which culminated in the False Tribulation, and the wars, and the plagues, and the painful dwindling of inflated populations to more reasonable numbers.robert charles wilson
... Given these political and cultural ties, wholesale attacks on the Ottoman Greeks would have profoundly angered not only the Entente Powers, but Germany and Austria-Hungary as well, the allies upon whom the Ottomans were deeply dependent. Under these conditions, genocide of the Ottoman Greeks simply was not a viable option. (...) Massacres most likely did take place at Amisos and other villages in the Pontus. Yet given the large numbers of surviving Greeks, especially relative to the small number of Armenian survivors, the massacres were apparently restricted to the Pontus, Smyrna, and selected other "sensitive" regions.
Mystical doctrines as to the relation of time to eternity are also reinforced by pure mathematics, for the mathematical objects, such as numbers, if real at all, are eternal and not in time. Such eternal objects can be conceived as God's thoughts. Hence Plato's doctrine that God is a geometer, and Sir James Jeans' belief that He is addicted to arithmetic.
Et cette proposition est généralement vraie en toutes progressions et en tous nombres premiers; de quoi je vous envoierois la démonstration, si je n'appréhendois d'être trop long.
And this proposition is generally true for all progressions and for all prime numbers; the proof of which I would send to you, if I were not afraid to be too long.
What seems certain is that Pythagoras developed the idea of mathematical logic... He realized that numbers exist independently of the tangible world and therefore their study was untainted by inaccuracies of perception. This meant he could discover truths which were independent of opinion of prejudice and which were more absolute then any previous knowledge.simon singh