Abstraction Quotes - page 7
At the most elemental level, reality evanesces into something called Schröedinger's Wave Function: a mathematical abstraction which is best represented as a pattern in an infinite-dimensional space, Hilbert Space. Each point of the Hilbert Space represents a possible state of affairs. The wave function for some one physical or mental system takes the form of, let us say, a coloring in of Hilbert Space. The brightly colored parts represent likely states for the system, the dim parts represent less probable states of affairs.
Rudy Rucker
I discovered the works of Euler and my perception of the nature of mathematics underwent a dramatic transformation. I was de-Bourbakized, stopped believing in sets, and was expelled from the Cantorian paradise. I still believe in abstraction, but now I know that one ends with abstraction, not starts with it. I learned that one has to adapt abstractions to reality and not the other way around. Mathematics stopped being a science of theories but reappeared to me as a science of numbers and shapes.
Alexander Stepanov
We may assume the existence of an aether; only we must give up ascribing a definite state of motion to it, i.e. we must by abstraction take from it the last mechanical characteristic which Lorentz had still left it. ... But this ether may not be thought of as endowed with the quality characteristic of ponderable inedia, as consisting of parts which may be tracked through time. The idea of motion may not be applied to it.
Albert Einstein
The mental operation by which one achieves new concepts and which one denotes generally by the inadequate name of induction is not a simple but rather a very complicated process. Above all, it is not a logical process although such processes can be inserted as intermediary and auxiliary links. The principle effort that leads to the discovery of new knowledge is due to abstraction and imagination.
Ernst Mach
It was then I began to on my bed and stare out at the nibbling squirrels, and to make up poems from intense abstraction, hour after unmarked hour, imagination scarcely faltering once, rhythm hardly skipping a beat, while my sisters called me, suns rose and fell, and the poems I made, which I never remembered, were the first and last of that time....
Laurie Lee
"Your collection is not a woman. That's only a metaphor-an abstraction! You'll be dying for nothing, for a principle that nobody else can even comprehend.”
As she spoke, Jane became convinced that she herself would never willingly die for a principle. She might feel guilty about it, but she'd smile and lie, knuckle under, pretend, anything, in order to survive. It made her feel a little sad to realize this, but also, at the same time, very adult.
Michael Swanwick
I think there's something really painful about your identity being entirely composed of ghosts. For me, I didn't want to be this kid whose Dominicanness was something caught utterly in the past, is an abstraction, the thing that I write about. Instead I wanted it to be, first and foremost, a thing that I lived.
Junot Diaz
The story of Adam and Eve represents the fruit as producing a psychological transformation. So the tree of the Knowledge of Good and Evil is an abstraction across trees, and it's trying to say: 'Here's something that's common across trees, it's a fruit that's common across trees.' The fruit that's common across trees is something that you might call food, fair enough. But here's something that's even more cool: food that's stable across the entire domain of food, isn't food – it's information. We use the same bloody circuits in our brain to forage for information, that animals use to forage for information. Why is that? Because we figured out knowing where the food is, is more important than having the food... That's why we're information foragers.
Jordan Peterson
I know that the evidence for genuine religious experience is incontrivertible, but it's not explicable. So I don't want to explain it away... I want to pull back from that and leave it as a fact and a mystery, and then we're going to look at this from a rational perspective, and say that the initial formulation of the idea of God was an attempt to abstract out the ideal and to consider it as an abstraction outside its instantiation. And that's good enough. It's an amazing thing if it's true. But I don't want to throw the baby out with the bathwater.
Jordan Peterson
this is not to say, we repeat, that the conditions of labor and production are becoming the same throughout the world or throughout the different sectors ot the economy. The claim is rather is that many singular instances of labor processes, productive conditions, local situations, and lived experiences coexist with a "becoming common", at a different level of abstraction, of the forms of labor and the general relations of production and exchange - and that there is no contradiction between this singularity and commonality.
Antonio Negri
.. Oh my dear friend, you whose voice called me towards my beautiful past, oh how I love you because you are young, you serve the idea, you understand the beauty of a life devoted completely to abstraction. Oh the devil you have done me, and the good of this devil. There is an atrocious page in my existence... I am not a woman. Neither love nor the family satisfies me. I don't like the baby. I detest the household. I love all works of the human genius, I adore art the beauties of nature and of the heart. The beautiful, the beautiful in all such as love and such as life.
Marianne von Werefkin
Since we only consider the universe on a very large scale, and make abstraction of all details and local irregularities, our universe must be homogeneous and isotropic. It follows... that the three-dimensional space of it must be what mathematicians call a space of constant curvature.
Willem de Sitter
