Introduction

Idealization 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 do not 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. An abstract model (or conceptual model) is a theoretical construct that represents something, with a set of variables and a set of logical and quantitative relationships between them. ...

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. Galileo can refer to: Galileo Galilei, astronomer, philosopher, and physicist (1564 - 1642) the Galileo spacecraft, a NASA space probe that visited Jupiter and its moons the Galileo positioning system Life of Galileo, a play by Bertolt Brecht Galileo (1975) - screen adaptation of the play Life of Galileo by Bertolt Brecht... Free fall in its strictest sense is the condition of acceleration which is due only to gravity. ... Galileo can refer to: Galileo Galilei, astronomer, philosopher, and physicist (1564 - 1642) the Galileo spacecraft, a NASA space probe that visited Jupiter and its moons the Galileo positioning system Life of Galileo, a play by Bertolt Brecht Galileo (1975) - screen adaptation of the play Life of Galileo by Bertolt Brecht...

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 is no air resistance. Galileo can refer to: Galileo Galilei, astronomer, philosopher, and physicist (1564 - 1642) the Galileo spacecraft, a NASA space probe that visited Jupiter and its moons the Galileo positioning system Life of Galileo, a play by Bertolt Brecht Galileo (1975) - screen adaptation of the play Life of Galileo by Bertolt Brecht...

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 , 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. This article needs additional references or sources for verification. ...

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. This article needs additional references or sources for verification. ... It has been suggested that this article or section be merged with Classical mechanics. ... friction is the force that opposes the relative motion or tendency toward such motion of two surfaces in contact. ... In physics, a net force acting on a body causes that body to accelerate; that is, to change its velocity. ... Calabi-Yau manifold Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. ... For information on the geometric shape, see circle and list of circle topics. ... For the popular Korean Anime, please visit Spheres (anime) It has been suggested that this article or section be merged with Spheres (anime). ... Lines (aka ColorLines) is a Computer puzzle game, invented by Oleg Demin and first introduced as a video game by the Russian company Gamos in 1992. ... White cliffs of Dover in England White cliffs of Rugen down the Baltic coast from Schleswig The Angles is a modern English word for a Germanic-speaking people who took their name from the cultural ancestor of Angeln, a modern district located in Schleswig, Germany. ...

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. This article needs additional references or sources for verification. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... For other people of the same surname, and places and things named after Charles Darwin, see Darwin. ... This article needs additional references or sources for verification. ... This article is about evolution in biology. ... Karl Heinrich Marx (May 5, 1818 – March 14, 1883) was a 19th century philosopher, political economist, and revolutionary. ... The social sciences are a group of academic disciplines that study human aspects of the world. ... A diagram of the IS/LM model In economics, a model is a theoretical construct that represents economic processes by a set of variables and a set of logical and quantitative relationships between them. ...

In psychology, idealization refers to 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. But imagination is better than reality. Upon meeting that parent, the child may be happy for awhile, but disappointed later when learning that the parent does not actually nurture, support and protect as the former caretaker parent had. Psychology (from Greek: ψυχή, psukhē, spirit, soul; and λόγος, logos, knowledge) is both an academic and applied discipline involving the scientific study of mental processes and behavior. ... Child custody and guardianship are legal terms which are sometimes used to describe the legal and practical relationship between a parent and his or her child, such as the right of the parent to make decisions for the child, and the parents duty to care for the child. ...

Notwithstanding the success achieved by the aforementioned scientific discliplies, 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 has not 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 do not lend themselves to idealization. That is, idealization does not reveal the essential essence of mental phenomena. Edmund Husserl Edmund Gustav Albrecht Husserl (April 8, 1859 - April 26, 1938), philosopher, was born into a Jewish family in Prossnitz, Moravia (Prostejov, Czech Republic), Empire of Austria-Hungary. ... Consciousness is a quality of the mind generally regarded to comprise qualities such as subjectivity, self-awareness, sentience, sapience, and the ability to perceive the relationship between oneself and ones environment. ... Edmund Husserl Edmund Gustav Albrecht Husserl (April 8, 1859 - April 26, 1938), philosopher, was born into a Jewish family in Prossnitz, Moravia (Prostejov, Czech Republic), Empire of Austria-Hungary. ...

Although Galileo’s idealization method is considered one of the essential elements of modern non-Aristotelian science, it is 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. Part of a scientific laboratory at the University of Cologne. ... The philosopher Socrates about to take poison hemlock as ordered by the court. ... Nancy Cartwright (actress) is an American actress, best noted for providing the voice of Bart Simpson. ...

It follows that Galileo’s idealization method does not 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, etc. – describe only the behavior of ideal bodies. Their behavior is only predicable when a considerable number of factors have been eliminated or assumed.

Reference

• Mansoor Niaz, The Role of Idealization in Science and Its Implications for Science Education, Journal of Science Education and Technology, Vol. 8, No. 2, pg 146, 1999.
• Andrzej Klawiter, Why Did Husserl Not Become the Galileo of the Science of Consciousness?, Posnari Studies in the Philosophy of the Sciences and the Humanities, Vol. 82, pg. 254, 2004.
• William F, Barr, A Pragmatic Analysis of Idealization in Physics, Philosphy of Science, Vol. 41, No. 1, pg 48, Mar. 1974.