Integers Number Quotes & Sayings

I have tried, with little success, to get some of my friends to understand my amazement that the abstraction of integers for counting is both possible and useful. Is it not remarkable that 6 sheep plus 7 sheep makes 13 sheep; that 6 stones plus 7 stones make 13 stones? Is it not a miracle that the universe is so constructed that such a simple abstraction as a number is possible? To me this is one of the strongest examples of the unreasonable effectiveness of mathematics. Indeed, I find it both strange and unexplainable. — Richard Hamming

Love isn't something to be given on whim, or shelved when it isn't convenient. Love is gift, a promise, and a belief in another person. If you treat it as such, it will fulfill you always — Brian MacLearn

The page of my notebook was filled with many messy integrals, but all of a sudden I saw emerge a formula for counting. I had begun to calculate a quantity on the assumption that the result was a real number, but found instead that, in certain units, all the possible answers would be integers. This meant that areas and volumes cannot take any value, but come in multiples of fixed units. — Lee Smolin

What I have not seen
or failed to see
I leave as a gift. — David Whyte

Persuasive influences are better than any amount of moralizing. — Louisa May Alcott

Let's zoom in on a particular form of synesthesia as an example. For most of us, February and Wednesday do not have any particular place in space. But some synesthetes experience precise locations in relation to their bodies for numbers, time units, and other concepts involving sequence or ordinality. They can point to the spot where the number 32 is, where December floats, or where the year 1966 lies.8 These objectified three-dimensional sequences are commonly called number forms, although more precisely the phenomenon is called spatial sequence synesthesia.9 The most common types of spatial sequence synesthesia involve days of the week, months of the year, the counting integers, or years grouped by decade. In addition to these common types, researchers have encountered spatial configurations for shoe and clothing sizes, baseball statistics, historical eras, salaries, TV channels, temperature, and more. — David Eagleman

I always loved rock 'n' roll. — Tom Stoppard

In this communication I wish first to show in the simplest case of the hydrogen atom (nonrelativistic and undistorted) that the usual rates for quantization can be replaced by another requirement, in which mention of "whole numbers" no longer occurs. Instead the integers occur in the same natural way as the integers specifying the number of nodes in a vibrating string. The new conception can be generalized, and I believe it touches the deepest meaning of the quantum rules. — Erwin Schrodinger

I believe that as long as a single man may try, any unjustifiable barrier against his efforts is a barrier against mankind. — Robert Kennedy

If you object (as some of us did to Dr. Goris) that Cantor's transfinite numbers aren't really numbers at all but rather sets, then be apprised that what, say, 'P(Infinity to the Infinity +n), really is is a symbol for the number of members in a given set, the same way '3' is a symbol for the number of members in the set {1,2,3}. And since the transfinites are provably distinct and compose an infinite ordered sequence just like the integers,they really are numbers, symbolizable (for now) by Cantor's well-known system of alephs or '(Aleph symbol's). And, as true numbers, transfinites turn out to be susceptible to the same kinds of arithmetical relations and operations as regular numbers-although, just as with 0, the rules for these operations are very different in the case of (Alephs) and have to be independently established and proved. — David Foster Wallace

I've definitely been in ruts, and I think having some kind of perseverance is important. — Paul Dano

I'd rather deal with a Mob guy shaking hands on a deal than a Hollywood lawyer, who, the minute you get the contract signed, is trying to figure out how to screw you. — Albert S. Ruddy

Enough rationalization. They simply had what you wanted, so you took it.

[My chair-- I shit on my good chair!]

You shit more than just your chair.

You shit the world. All you ever cared about was winning -- And you did.

The last man standing on a mountain of filth [. . .]

Kazumi taught forgiveness. She accepted all refugees looking for a better life. And you turned that against her.

Kazumi would show mercy.

I'm not Kazumi. — Rick Remender

Vision is easy. Ideas are even easier. It's execution that separates the amateurs from the pros. — Blaine Hogan

Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc ... But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted. I think, in coming centuries it will be considered a great oddity in the history of mathematics that the first exact theory of infinitesimals was developed 300 years after the invention of the differential calculus. — Abraham Robinson