A Quote by John von Neumann
If one has really technically penetrated a subject, things that previously seemed in complete contrast, might be purely mathematical transformations of each other.
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I wouldn't put myself in that bracket, but it's one of those things. I think what helps is that we [with Tom Hardey] don't socialize, we don't really know each other, we purely work together.
The Reader may here observe the Force of Numbers, which can be successfully applied, even to those things, which one would imagine are subject to no Rules. There are very few things which we know, which are not capable of being reduc'd to a Mathematical Reasoning, and when they cannot, it's a sign our Knowledge of them is very small and confus'd; and where a mathematical reasoning can be had, it's as great folly to make use of any other, as to grope for a thing in the dark when you have a Candle standing by you.
All the weird, crazy things people say, like twins can read each other minds, they can feel each other's feelings, it's all true. We can have complete conversations with our eyes.
I imagine that whenever the mind perceives a mathematical idea, it makes contact with Plato's world of mathematical concepts... When mathematicians communicate, this is made possible by each one having a direct route to truth, the consciousness of each being in a position to perceive mathematical truths directly, through the process of 'seeing'.
The good news is that, at least in economics, I've seen movement away from its overemphasis on mathematical models of purely rational behavior to a more eclectic and commonsense approach: research that is, among other things, more respectful of insights from psychology.
I really like when the lyrics in the music have an interesting relationship between one another - where they contrast each other.
Enough, both of you,' Clary said. 'You can't be complete jerks to each other forever, you know.' Technically,' said Simon, 'I can.' Jace made an inelegant noise; after a moment Clary realized that he was trying not to laugh, and only semi-succeeding.
Those teams that really trust each other, really communicate with each other, really hold each other accountable and do it in a good way, in a respectful way, and just genuinely enjoy and like each other, I think that can be something that helps you separate when talent is equal.
Women are so strong and knowledgeable. You know, instead of competing with each other, I would love to complete each other. Take away that wall of competition and say, 'Hey, let's just all get together and help each other be brilliant.'
Under heaven all can see beauty as beauty only because there is ugliness. All can know good as good only because there is evil. Therefore having and not having arise together. Difficult and easy complement each other. Long and short contrast each other. High and low rest upon each other. Voice and sound harmonize each other. Front and back follow one another.
Subjects who reciprocally recognize each other as such, must consider each other as identical, insofar as they both take up the position of subject; they must at all times subsume themselves and the other under the same category. At the same time, the relation of reciprocity of recognition demands the non-identity of one and the other, both must also maintain their absolute difference, for to be a subject implies the claim of individuation.
I'm not as a studied, technically, as you might think. My technique has really evolved naturally over the years from watching other guitarists and trying to develop my own style.
The old Rankin-Bass animated specials seemed to exist in a loosely shared reality, which is what attracted me to them. Santa, Snow Miser, Rudolph, Frosty, even the Easter Bunny seemed to be on nodding acquaintance with each other, even if only in cameo appearances in each other's cartoons.
But it seemed to me that the American way of doing things was to obliterate a complete area, without really knowing exactly what was there and where they were.
The mathematical is that evident aspect of things within which we are always already moving and according to which we experience them as things at all, and as such things. The mathematical is this fundamental position we take toward things by which we take up things as already given to us, and as they must and should be given. Therefore, the mathematical is the fundamental presupposition of the knowledge of things.
We need each other to do things that we can't do for ourselves. If we are intimately connected with each other, we just give things to each other; if we don't know each other we find another way to handle it. If you think about it, each according to his or her abilities and each according to his or her needs is sort of the same thing as supply and demand.
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