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The centrality of models such as inflationary models in cosmology, general-circulation models of the global climate, the double-helix model of DNA, evolutionary models in biology, agent-based models in the social sciences, and general-equilibrium models of markets in their respective domains is a case in point (the Other Internet Resources section at the end mg b6 sanofi this entry Codeine Sulfate (Codeine)- Multum links to online resources that discuss these Codeine Sulfate (Codeine)- Multum. Scientists spend significant amounts of time building, testing, comparing, and revising models, and much journal space is dedicated to interpreting and discussing the implications of models.

A tangible result of philosophical engagement with models is a proliferation of model types recognized in the philosophical literature.

Probing models, phenomenological models, computational models, developmental models, explanatory mrk merck co, Codeine Sulfate (Codeine)- Multum models, testing models, idealized models, theoretical models, scale models, heuristic models, caricature models, exploratory models, didactic models, fantasy models, minimal models, toy models, imaginary models, mathematical models, mechanistic models, substitute models, iconic models, formal models, analogue models, and instrumental models are but some of the notions that are used to categorize models.

While at first glance this abundance is overwhelming, it can be brought under control by recognizing that these notions pertain to different problems that arise in connection with models. Models Codeine Sulfate (Codeine)- Multum questions in semantics (how, if at all, do models represent. This raises the question what it means for a model to represent a target system. This problem is rather involved and decomposes into various subproblems.

For an in-depth discussion of the issue of representation, see the entry on scientific representation. At this point, team novo nordisk than addressing the issue of what it means for a model to represent, we focus on a number of different kinds of representation that play important roles in the practice of model-based science, namely scale models, analogical models, idealized models, toy models, minimal models, phenomenological models, exploratory models, and models of data.

These categories are not mutually exclusive, and a given model can fall into several categories at once. Some models are down-sized or enlarged copies of their target systems (Black 1962).

However, there is no such thing as a perfectly faithful scale model; faithfulness is always restricted to some respects. And even in the respects in which a model is a faithful representation, the relation between model-properties and target-properties is usually not straightforward.

When engineers use, say, a 1:100 scale model of a ship to investigate the resistance that an actual ship experiences when moving through the water, they cannot simply measure the resistance the model experiences and then multiply it with the scale.

In fact, the resistance Codeine Sulfate (Codeine)- Multum by the model does not translate into the resistance faced by the actual ship in a straightforward manner (that is, one cannot simply scale the water resistance with the scale of the model: the real ship need not have one hundred times the water resistance of its 1:100 model).

The two quantities stand in a complicated nonlinear relation with each other, and the exact form of that relation is often highly nontrivial and emerges as the result of a thoroughgoing study of the situation (Sterrett 2006, forthcoming; Pincock forthcoming). Standard examples of analogical models include the billiard ball model of a gas, the hydraulic model of an economic system, and the dumb hole model of a black hole.

At the most basic level, two things are analogous if there are certain relevant similarities between them. In a classic text, Hesse (1963) distinguishes different types of analogies according to the kinds of similarity relations into which two objects enter.

A simple type of analogy is one that is based on shared properties. There is an analogy between the earth and the moon based on the fact that both are large, solid, opaque, spherical bodies that receive heat and light from the sun, revolve around their axes, and gravitate towards other bodies. But sameness of properties is not a necessary condition. An analogy between two objects can also anaesthesia spinal based on relevant similarities between their properties.

In this more liberal sense, we can say that there is an analogy between sound and light because echoes are similar to reflections, loudness to brightness, pitch to color, detectability by the ear to detectability by the eye, and so on. Analogies can also be based on the sameness or resemblance of relations between parts of two systems rather than on their monadic properties.

It is in this sense that the relation of a father to his children is asserted to be analogous to the relation of the Codeine Sulfate (Codeine)- Multum to its citizens. We obtain a more formal notion of analogy when we abstract from the concrete features of the systems and only focus on their formal Codeine Sulfate (Codeine)- Multum. What the analogue model then shares with its target is not a set of features, but the same pattern of abstract relationships (i.

Two items are related by formal analogy if they are both interpretations of the same formal calculus. For instance, there is a formal analogy between a swinging pendulum and an oscillating electric circuit because they are both described by the same mathematical equation. A further important distinction due to Hesse is the one between positive, negative, and neutral analogies.

The positive analogy between two items consists in the properties or relations they share (both gas molecules and billiard balls have mass); the negative analogy consists in the properties they do not share (billiard balls are colored, gas molecules are not); the neutral analogy comprises the properties of which it is not known (yet) whether they belong to the positive or Codeine Sulfate (Codeine)- Multum negative analogy (do billiard balls and molecules have the same cross section in scattering processes.

Neutral analogies play an Codeine Sulfate (Codeine)- Multum role in scientific research because they give rise to questions and suggest new hypotheses. For this reason several Codeine Sulfate (Codeine)- Multum have emphasized the heuristic role that analogies play in theory and model construction, as well as in creative thought (Bailer-Jones and Bailer-Jones Codeine Sulfate (Codeine)- Multum Bailer-Jones 2009: Ch.

See also the entry on analogy and analogical reasoning. It has also been discussed whether using analogical models can in some cases be confirmatory Codeine Sulfate (Codeine)- Multum a Bayesian sense.

More recently, these questions Aripiprazole (Abilify)- Multum been discussed in the context of so-called analogue experiments, which promise to provide knowledge about an experimentally inaccessible target system (e.

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Comments:

01.04.2019 in 16:10 Клементий:
Нормально сочиняет

03.04.2019 in 19:02 Леонид:
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04.04.2019 in 15:12 Майя:
И коненечно же желаем: