Everything about Idealization totally explained
Idealization (
British English:
idealisation) is the process by which scientific
models assume facts about the phenomenon being modeled that are certainly false. Often these assumptions are used to make models easier to understand or solve. Many times idealizations don't harm the predictive accuracy of the model for one reason or another. Most debates surrounding the usefulness of a particular model often are about the appropriateness of different idealizations.
Early Use
Galileo utilized the concept of idealization in order to formulate the law of
free fall.
Galileo, in his study of bodies in motion, set up experiments that assumed frictionless surfaces and spheres of perfect roundness, see
UC Davis Philosphy Lecture Notes, Prof. Rob Cummin.
The crudity of ordinary objects has the potential to obscure their mathematical essence, and idealization is used to combat this tendency.
The most well known example of idealization in Galileo’s experiments is in his analysis of why motion exists.
Galileo predicted that if a perfectly round and smooth ball were rolled along a perfectly smooth horizontal plane, there would be nothing to stop the ball. This hypothesis is predicated on the assumption that there's no air resistance.
Other Examples of Idealization
Another example of the use of idealization in
physics is in
Boyle’s Gas Law:
Given any x and any y, if all the molecules in y are perfectly elastic and spherical, possess equal masses and volumes, have negligible size, and exert no forces on one another except during collisions, then if x is a gas and y is a given mass of x which is trapped in a vessel of variable size and the temperature of y is kept constant, then any decrease of the volume of y increases the pressure of y proportionally, and vice versa.
In
physics, people will often solve for
Newtonian systems without
friction. While, we know that friction is present in actual systems, solving the model without friction can provide insights to the behavior of actual systems where the
force of friction is negligible.
Another discipline,
geometry, arises by the process of idealization because it, at its core, is a universe of ideal entities, forms and figures. Perfect
circles,
spheres, straight
lines and
angles are the essential elements of this discipline, all which would be near impossible without idealization.
Just as the method of idealization has been utilized in the study of
physics and
mathematics,
Charles Darwin introduced the method of idealization to
biology. This assisted, in no small part, Darwin’s theory of
evolution achieving scientific maturity. It has also been argued that
Karl Marx utilized idealization in the
social sciences (Id). Similarly, in
economic models individuals are assumed to be maximally rational choice rational. This assumption, although known to be violated by actual humans, can often lead to insights about the behavior of human populations.
In
psychology, idealization refers to a
defence mechanism in which a person who perceives another to be better (or have more desirable attributes) than would actually be supported by the evidence. This sometimes occurs in
child custody conflicts. The child of a single parent frequently may imagine ("idealize") the (ideal) absent parent to have those characteristics of a perfect parent. However, the child may find imagination is favorable to reality. Upon meeting that parent, the child may be happy for a while, but disappointed later when learning that the parent doesn't actually nurture, support and protect as the former caretaker parent had.
Notwithstanding the success achieved by the aforementioned scientific discliplines, the introduction of the method of idealization is in no way an indicator of whether another science will reach maturity. Furthermore, no algorithm exists that can show how the introduction of idealization with effect a discipline in which it hasn't before been applied.
Limits on Use
While idealization fits nicely into the analysis utilized by certain scientific disciplines, it has been traditionally rejected by others. For instance, the extension of the use of idealization into the study of mental phenomena has been firmly rejected.
Husserl, who was aware of, and recognized, the importance of idealization, refused to extend its use into his studies of
consciousness. Husserl opposed the application of idealization to the study of objects belonging to the domain of the mind, because according to he believed that mental phenomena don't lend themselves to idealization. That is, idealization doesn't reveal the essential essence of mental phenomena.
Although
Galileo’s idealization method is considered one of the essential elements of modern non-Aristotelian
science, it's nonetheless the source of continued controversy in the literature of the
philosophy of science.
Nancy Cartwright suggested that Galilean idealization presupposes tendencies or capacities in nature and that this allows for extrapolation beyond what is the ideal case.
It follows that Galileo’s idealization method doesn't assist in the description of the behavior of individuals or objects in the real world. The laws created by using idealization – gas laws,
Newton's laws of motion, etc. – describe only the behavior of ideal bodies. Their behavior is only predicable when a considerable number of factors have been eliminated or assumed.
Further Information
Get more info on 'Idealization'.
|
External Link Exchanges
Do you know how hard it is to get a link from a large encyclopaedia? Well we're different and will prove it. To get a link from us just add the following HTML to your site on a relevant page:
<a href="http://idealization.totallyexplained.com">Idealization Totally Explained</a>
Then simply click through this link from your web page. Our crawlers will verify your link, extract the title of your web page and instantly add a link back to it. If you like you can remove the words Totally Explained and embed the link in article text.
As long as your link remains in place, we'll keep our link to you right here. Please play fair - our crawlers are watching. Your site must be closely related to this one's topic. Any kind of spamming, dubious practises or removing the link will result in your link from us being dropped and, potentially, your whole site being banned. |
