Discover the most popular and inspiring quotes and sayings on the topic of Abstractions. Share them with your friends on social media platforms like Facebook, Twitter, or your personal blogs, and let the world be inspired by their powerful messages. Here are the Top 100 Abstractions Quotes And Sayings by 94 Authors including Ken Danby,Henry Moore,Booker T. Washington,Steve Mcconnell,Jean Helion for you to enjoy and share.
Abstraction and realism work best together.
All art is an abstraction to some degree.
An ounce of application is worth a ton of abstraction.
In my experience, you either have encapsulation and abstraction or you have neither. There is no middle ground.
No doubt, in complete abstraction one has a feeling of a great shock, if not an explosion, and in approaching the real, one feels health and truth restored ...
I wish to approach truth as closely as is possible, and therefore I abstract everything until I arrive at the fundamental quality of objects.
It was only since the turn of the century that one returned to the immense role that abstraction plays in the human mind by its power of concentration upon absolute essentials.
The paradox is now fully established that the utmost abstractions are the true weapons with which to control our thought of concrete fact.
We lay down a fundamental principle of generalization by abstraction: The existence of analogies between central features of various theories implies the existence of a general theory which underlies the particular theories and unifies them with respect to those central features.
To think of abstraction as an end in itself is undoubtedly letting oneself be led into a cul-de-sac and can only lead to exhaustion and impotence.
I hardly need to abstract things, for each object is unreal enough already, so unreal that I can only make it real by means of painting.
In enabling mechanism to combine together general symbols in successions of unlimited variety and extent, a uniting link is established between the operations of matter and the abstract mental processes of the most abstract branch of mathematical science.
I think, with abstraction, it's easy to fall into a sort of pastiche.
We must be careful not to confuse data with the abstractions we use to analyse them.
The abstract is no more than an instrument, an organ, to see the concrete clearly.
Psychologically, the teaching of abstractions first is wrong. Indeed, a thorough understanding of the concrete must precede the abstract.
Abstraction is real, probably more real than nature.
Hierarchy is a kind of order of abstractions.
I expect of abstraction as much as what imagery does for me ... to carry meaning.
Abstraction allows man to see with his mind what he cannot see physically with his eyes ... Abstract art enables the artist to perceive beyond the tangible, to extract the infinite out of the finite. It is the emancipation of the mind. It is an exploration into unknown areas.
Life is an abstract.
This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.
All non-trivial abstractions, to some degree, are leaky.
In retrospect I can see that my desire to create abstractions has become more and more radical. Art should not be delivering a report on reality, but should be looking at what's behind something.
Abstractness, sometimes hurled as a reproach at mathematics, is its chief glory and its surest title to practical usefulness. It is also the source of such beauty as may spring from mathematics.
Nothing is more abstract than reality.
Higher-order functions allow us to abstract over actions, not just values.
Life is filled with abstractions, and the only way to make heads or tails of it is going through intuition.
LOVE is one kind of abstraction ...
Sufficiently simple natural structures are predictable but uncontrollable, whereas sufficiently complex symbolic descriptions are controllable but unpredictable.
War is an abstraction.
She was an abstraction in an abstraction: an impossible intersection of dozens of bright panes, as if the disassembled tiles of a stained-glass window had each been set aglow and animated. She swirled before me like a school of fish.
There is nothing mysterious, as some have tried to maintain, about the applicability of mathematics. What we get by abstraction from something can be returned.
Isolated material particles are abstractions, their properties being definable and observable only through their interaction with other systems .
Early-twentieth-century abstraction is art's version of Einstein's Theory of Relativity. It's the idea that changed everything everywhere: quickly, decisively, for good.
The complexity of software is an essential property, not an accidental one. Hence, descriptions of a software entity that abstract away its complexity often abstracts away its essence.
Nobody really thinks who does not abstract from that which is given, who does not relate the facts to the factors which have made them, who does not in his mind undo the facts. Abstractness is the very life of thought, the token of its authenticity.
Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.
Become aware of internal, subjective, sub-verbal experiences, so that these experiences can be brought into the world of abstraction ...
When we predicate of any thing an abstract name, we affirm of the thing that it is one or other of these five things; that it is a case of Existence, or of Co-existence, or of Causation, or of Sequence, or of Resemblance.
In the visual arts, particularly painting, I distrust all those abstractions, those artificial constructions. I have a very simple way of judging them: if I can do them, they are not art.
But we must not underestimate the potency of the mathematical process of abstraction. A surprising variety of things happen to have both magnitude and direction and to combine according to the parallelogram law; and many of them are not at all reminiscent of journeys.
Art, indeed, began with abstraction.
The computer programmer creates the only path available to the computer user; the effect of his decisions on others is masked by their abstraction.
I am searching for abstract ways of expressing reality, abstract forms that will enlighten my own mystery.
All representations of a thing are inherently abstract.
Abstraction has always been around, since the drawings in the caves. It exists in all cultures all over the world. I thought for a while that it was going to be the major movement. But people always drift back to realism. I guess there is a certain security in that.
The productions of the mind and hand seem very numerous in books and manufactures. But all this variety lies in an exquisite subtlety and derivations from a few things already known, not in the number of axioms. VIII
We must categorize and simplify in order to comprehend. But the reduction of complexity entails a great danger, since the line between enlightening epitome and vulgarized distortion is so fine.
Formality Thus the absence of all mention of particular things or properties in logic or pure mathematics is a necessary result of the fact that this study is, as we say, "purely formal".
The fundamental concepts of physical science, it is now understood, are abstractions, framed by our mind, so as to bring order to an apparent chaos of phenomena.
Human intellect is incurably abstract.
This extravagant dwelling, as domineering as it was distant, brought home to me the intimateconnection between tyranny and abstraction, and put me in mind of John Berger's observation that "abstraction's capacity to ignore what is real is undoubtedly where most evil begins."
At that point it certainly would be called abstract. That is to say, you had a model and there'd be one or two or three people there drawing the model but otherwise you had abstractions all around the room, even though the model was in front of you.
Perhaps you have seen me. I know well, my purpose was merely that of a symbol, 'equals', 'times' ... ; but what is said, for all that, was identity-less: a kind of live geometry.
Reflective abstraction, however, is based not on individual actions but on coordinated actions.
I don't abstract from anything. ... I am involved with real space, the room itself, real light, and real surface.
Also essential to math is the sense in which abstracting something can mean reducing it to its absolute skeletal essence, as in the abstract of an article or book. As such, it can mean thinking hard about things that for the most part people can't think hard about-because it drives them crazy.
Two elements are needed to form a truth - a fact and an abstraction.
Far from creating a new formalism, what these can yield is something far transcending surface values since they not only embody form as beauty, but also form in which intuitions or ideas or conjectures have taken visible substance.
The heart of mathematics consists of concrete examples and concrete problems. Big general theories are usually afterthoughts based on small but profound insights; the insights themselves come from concrete special cases.
A hypothetical theory is necessary, as a preliminary step, to reduce the expression of the phenomena to simplicity and order before it is possible to make any progress in framing an abstractive theory.
The number and richness of man's signifiers always surpasses the set of defined objects that could be termed signifieds. The symbolic function must always precede its object and does not encounter reality except when it precedes it into the imaginary ...
We have tried to fit man into abstraction, but he does not fit.
Logic turns the act of abstraction into a tool for determining what is true and what is false: truth can be discovered in words alone, apart from concrete experience.
Formal symbolic representation of qualitative entities is doomed to its rightful place of minor significance in a world where flowers and beautiful women abound.
The whole of mathematics consists in the organization of a series of aids to the imagination in the process of reasoning.
If I see a human body on the stage, I don't see it as an abstraction. I see it as a body.
Complexity is the enemy of clarity
A conceptual scheme is never discarded merely because of a few stubborn facts with which it cannot be reconciled; a conceptual scheme is either modified or replaced by a better one, never abandoned with nothing left to take its place.
Abstract knowledge is always useful, sooner or later.
In the future, as in the past, the great ideas [of mathematics] must be simplifying ideas, the creator must always be one who clarifies, for himself, and for others, the most complicated issues of formulas and concepts.
...concepts have three fundamental properties - contextuality, intentionality, and abstraction - which independent things do not. To produce a mental world from the physical world, the physical world must first explain how contextuality, intentionality, and abstraction can arise.
On the one hand, there are individual actions such as throwing, pushing, touching, rubbing. It is these individual actions that give rise most of the time to abstraction from objects.
Those who are long on logic, definitions, abstractions, and formulas are frequently short on a sense of the concrete.
Implementation inheritance is a very good example for adding much conceptual complexity without giving us the full power of the ideas it builds upon.
Computer Science is a science of abstraction -creating the right model for a problem and devising the appropriate mechanizable techniques to solve it.
I'm not an abstractionist. I'm not interested in the relationship of color or form or anything else. I'm interested only in expressing basic human emotions: tragedy, ecstasy, doom, and so on.
To see how to make something more general, you need to start with something concrete. In particular, you need to understand the specifics of a particular domain to discover the right abstractions.
I have been continuously aware that in painting, I am always dealing with ... a relational structure. Which in turn makes permission 'to be abstract' no problem at all.
Logic issues in tautologies, mathematics in identities, philosophy in definitions; all trivial, but all part of the vital work of clarifying and organising our thought.
Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy's main source of problems. That is why it is of the utmost importance to examine attentively the very words we use.
The abstraction is often the most definite form for the intangible thing in myself that I can clarify in paint.
How many people make themselves abstract to appear profound. The most useful part of abstract terms are the shadows they create to hide a vacuum.
For a long time the objects that mathematicians dealt with were mostly ill-defined; one believed one knew them, but one represented them with the senses and imagination; but one had but a rough picture and not a precise idea on which reasoning could take hold.
What I mean by 'abstract' is something which comes to life spontaneously through a gamut of contrasts, plastic at the same time as psychic, and pervades both the picture and the eye of the spectator with conceptions of new and unfamiliar elements.
Once you abstract from this, once you generalize and postulate Universals, you have departed from the creative reality, and entered the realm of static fixity, mechanism, materialism.
Mathematical objects are determined by - and understood by - the network of relationships they enjoy with all the other objects of their species.
It has to become second nature, for a programmer, to notice when a concept is begging to be abstracted into a new word.
uncomplicated things
With greater completeness and abstraction, I have attained a form filtered to its essentials.
Every good composition is above all a work of abstraction. All good painters know this. But the painter cannot dispense with subjects altogether without his work suffering impoverishment.
If I choose abstraction over reality, it is because I consider it the lesser chaos.
Such abstraction which refuses to accept the given universe of facts as the final context of validation, such "transcending" analysis of the facts in the light of their arrested and denied possibilities, pertains to the very structure of social theory.
Talk with M. Hermite. He never evokes a concrete image, yet you soon perceive that the more abstract entities are to him like living creatures.
Demonstration, similitude & harmony are objects of reasoning. Invention, identity & melody are objects of intuition.
Abstract is not a style. I simply want to make a surface work. This is just a use of space and form: it's an ambivalence of forms and space.
The state, the state apparatus, is not an abstraction.
The mind is inherently embodied.
Thought is mostly unconscious.
Abstract concepts are largely metaphorical.
Among the minor, yet striking characteristics of mathematics, may be mentioned the fleshless and skeletal build of its propositions; the peculiar difficulty, complication, and stress of its reasonings; the perfect exactitude of its results; their broad universality; their practical infallibility.