This concept was introduced by Boethius as another translation of the Greek word, which is used by Aristotle.Abstract (translated means "diversion") - a mental separation of certain parties, relations or properties of objects and phenomena, in order to highlight some of the essential features and characteristics.Similar designs may not have analogues in the physical world.This is typical of some mathematical disciplines.Abstraction - a direct consequence of the above terms.However, it already represents a kind of methodology of knowledge.
abstraction - is the concept of perception
In applying this method of conversion is considered a model in some systems (eg, intellectual).The entire system is divided into elements that are subsystems.That is, an abstraction - an operation which resulted in the complex model is replaced by a simplified, containing less distinctive features, which, thus, are more informative.As an example, the process of replacing the high-resolution video at a low quality for rapid processing and file transfer.
Features and hierarchy in the chain of abstractions
Tellingly, conduct such differential operation can theoretically infinite.Abstraction - a method, which after application to the support of certain properties, you can get some kind of model.However, with this particular can again operate in the same ways.Such cycles can be myriad.For example, it is possible to abstract any one of the given model, leaving the rest intact, then move on to the next part of the selection.Finally summarize the data obtained in one "tree."For each model, you can get a so-called space of abstraction, which is a set of sets ordered predetermined rules.In reality, of course, an infinite variety of division into parts might not be.Therefore, talking about a limited number of models derived from the original prototype, called "abstract hierarchical chain."
typing concepts
abstraction - is the intellectual need, when you need to find the differences between the subject and the specific nature of the problems associated with it.For example, a person perceives the mountain as a set of geometric forms.
However, it must be typed abstractions by type:
- generalizing that gives an abstract image phenomenon;as a result, you can identify common characteristics of the studied models;
- idealizing - replacement of real empirical phenomena abstract ideal scheme;
- abstraction of actual infinity - fixing each element of the infinite set of (seeing them as final);
- insulating - the selection of the test needed object or phenomenon of integrity, such as Occam's Razor;
- constructive - "coarsening" the boundaries of the real object of their distraction from the uncertainty.
term "abstraction" can also be typed and goals:
- formal - singling out the important properties for further analysis;
- meaningful - the selection of practical qualities.
Related concepts
concretization and abstraction - the terms of which to speak individually virtually impossible.These concepts are inverse to each other.To go to a chain of abstraction to the next level you need to apply the methods of specification to verify the particulars from the original selection set.This allows you not to lose connection with the prototype.
