This paper considers the method of idealization and factualization as the main method of all advanced empirical science. The procedure is as follows. Some idealizing conditions are assumed: the vanishing of factors $(p_{i}=0)$ which never vanish in the real world. An idealization law is formulated -- a law which is exactly (non-vacuously) fulfilled only in an ideal model, not in any real system. Then the idealizing assumptions are abrogated one by one-it is a process of gradual factualization, of the transition (...) to the factual laws which are fulfilled in real systems. These laws may be directly applied and tested by experience. (shrink)

Idealized explanations are the one subtype of incomplete explanations which is most frequently used in the empirical sciences and at the same time least analyzed in philosphy of science. It is argued that idealized explanations, while having the same logical structure as adequate explanations, differ from these in the mode of validity of the argument. Whereas an adequate explanation shows why the occurrence of some event had to be expected, an idealized explanation argues that a certain event would occur if (...) certain conditions were fulfilled. Idealized explanations are heuristic devices which, in the long run, ought to be transformed into adequate explanations. (shrink)

In this paper, a criticism of the traditional theories of approximation and idealization is given as a summary of previous works. After identifying the real purpose and measure of idealization in the practice of science, it is argued that the best way to characterize idealization is not to formulate a logical model – something analogous to Hempel's D-N model for explanation – but to study its different guises in the praxis of science. A case study of it is then made (...) in thermostatistical physics. After a brief sketch of the theories for phase transitions and critical phenomena, I examine the various idealizations that go into the making of models at three difference levels. The intended result is to induce a deeper appreciation of the complexity and fruitfulness of idealization in the praxis of model-building, not to give an abstract theory of it. (shrink)

A brief discussion is offered of what it means to say that a set of statements provides D-N explanation with special emphasis given to approximative D-N explanation. An idealized theory is seen to provide approximative D-N explanation. An ideal case provides explanation only if postulates are offered which connect the ideal antecedent condition with actual conditions. Such postulates will help in accounting for deviations between what the consequent of the ideal case entails and what actually occurs. Three ways are presented (...) for deciding on the acceptability of idealizations: (i) as actual conditions more closely approximate the ideal antecedent conditions specified in an ideal case, the more closely actual cases ought to approximate the consequent of the ideal case; (ii) the additional postulates connecting ideal antecedent conditions with actual conditions ought to account for deviations between what is entailed by an idealized theory and what actually occurs; and (iii) an idealized theory is explained by a more general theory when certain state variables in the more general theory are given extreme values. It is argued that (iii) is not a necessary condition for the acceptability of idealizations. (shrink)

The paper is a discussion of the idealizational interpretation of the dialectical Marxist methodology of science which has been worked out and applied in a diversity of ways by L. Nowak and the other members of the so-called Poznań school. I examine the sense in which, and the extent to which, this methodology is or can be said to be dialectical. Subsequently, I discuss and criticize Nowak's claim that this methodology can function at the same time as a meta-methodology; I (...) do this in connection with a corresponding and equally questionable claim put forward by I. Lakatos, and with one of Nowak's concrete examples, which is meant to show that certain developments in neopositivist methodology of science followed his methodology. Lastly, I comment on the normative-descriptive character of Nowak's methodology, examine its adequacy as a comprehensive account of science, compare it with alternative accounts of the place and role of idealizations in science, and raise the question of whether Nowak's idealizational theory of socio-economic formation is a refutation or a dialectical negation of Marx's historical materialism. (shrink)

In this paper we present a new framework of idealization in biology. We characterize idealizations as a network of counterfactual and hypothetical conditionals that can exhibit different "degrees of contingency". We use this idea to say that, in departing more or less from the actual world, idealizations can serve numerous epistemic, methodological or heuristic purposes within scientific research. We defend that, in part, this structure explains why idealizations, despite being deformations of reality, are so successful in scientific practice. For illustrative (...) purposes, we provide an example from population genetics, the Wright-Fisher Model. (shrink)

According to the instrumentalism of Friedman and Machlup it is irrelevant whether the explanatory principles or “assumptions” of a theory satisfy any criterion of “plausibility,” “realism,” “credibility,” or “soundness.” In this view the main or only criterion for selecting theories is whether a theory yields empirically testable implications that turn out to be consistent with observations. All we should require or expect from a theory is that it is a useful instrument for the purpose of prediction. Considerations of the “efficiency” (...) of a theory for the purpose of ordering our experiences are permitted, but considerations of “plausibility” are not. “Explanatory assumptions” are not really explanatory in the sense that they claim to represent underlying causal processes in reality; they only serve to generate, by deduction, implications that are in accordance with as many observations as possible. (shrink)

While the use of so-called idealizations in science has been widely recognized for many years, the philosophical problems that arise from this use have received relatively little attention. Even a cursory reading of the philosophical literature devoted to these problems reveals that the following questions remain unanswered: In general, what, if any, are the distinguishing characteristics of idealizations? More specifically, do idealizations have any distinguishing syntactic or semantic characteristics? In addition to these questions there exist the following pragmatic questions, questions (...) relating to the ways in which idealizations are used in science: How are idealizations used in explanations?. Do these explanations have any peculiar characteristics—characteristics not shared by deductive-nomological explanations? If we assume that idealizations are false or “do not obtain,” how is it that they can have any explanatory power?. Further, there are questions of more general philosophic concern. How do the problems of idealizations relate to those of simplicity, for an idealization seems to be, in some sense, a type of simplification? How do the problems of ideal laws and theories relate to the general problems of scientific laws and theories? (shrink)

Theoretical works in economics usually have a core consisting of proofs that a “model-economy” has certain properties. The economist constructs a model that can be looked on as a description of an economy, and then proves that certain relations hold in this economy and/or that certain relations in this economy depend on certain specific characteristics. The model-economy is usually described as simplified or idealized.

Traditional theories construe approximate truth or truthlikeness as a measure of closeness to facts, singular facts, and idealization as an act of either assuming zero of otherwise very small differences from facts or imagining ideal conditions under which scientific laws are either approximately true or will be so when the conditions are relaxed. I first explain the serious but not insurmountable difficulties for the theories of approximation, and then argue that more serious and perhaps insurmountable difficulties for the theory of (...) idealization force us to sever its close tie to approximation. This leads to an appreciation of lawlikeness as a measure of closeness to laws, which I argue is the real measure of idealization whose main purpose is to carve nature at its joints. (shrink)

Two types of idealization in theory construction are distinguished, and the distinction is used to give a critique of Ron Laymon's account of confirming idealized theories and his argument for scientific realism.

The paper tries to provide an alternative to Hempel’s approach to scientific laws and scientific explanation as given in his D-N model. It starts with a brief exposition of the main characteristics of Hempel’s approach to deductive explanations based on universal scientific laws and analyzes the problems and paradoxes inherent in this approach. By way of solution, it analyzes the scientific laws and explanations in classical mechanics and then reconstructs the corresponding models of explanation, as well as the types of (...) scientific laws appearing in it. Finally, it compares this reconstruction with the approaches of J. Woodward and C. Hitchcock, C. Liu and with the views of M. Thalos on analytic mechanics. (shrink)

Modern economics, with its use of advanced mathematical methods, is often looked upon as the physics of the social sciences. It is here argued that deductive analyses are more important in economics than in physics, because the economists more seldom can confirm phenomenological laws directly. The economist has to use assumptions from fundamental theory when trying to bridge the gap between observations and phenomenological laws. Partly as a result of the difficulties of establishing phenomenological laws, analyses of idealized 'model-economies' play (...) a more important, but mainly heuristic role, in economics. (shrink)

Mentalism preserves the triad: brain's state — thought — state of affairs whereas phy‐sicalism identifies the former two elements of it. Both stands meet the famous difficulties. But these presuppose ontological actualism. On the ground of ontological possibilism, claiming the existence of all possible worlds, one may identify a thought with the corresponding state of affairs in a possible world. Yet, possibilism turns out to be too narrow to carry such an identification and requires a significant generalization.

The paper is a discussion of the idealizational interpretation of the dialectical Marxist methodology of science which has been worked out and applied in a diversity of ways by L. Nowak and the other members of the so-called Pozna school. I examine the sense in which, and the extent to which, this methodology is or can be said to be dialectical. Subsequently, I discuss and criticize Nowak's claim that this methodology can function at the same time as a meta-methodology; I (...) do this in connection with a corresponding and equally questionable claim put forward by I. Lakatos, and with one of Nowak's concrete examples, which is meant to show that certain developments in neopositivist methodology of science followed his (meta-)methodology. Lastly, I comment on the normative-descriptive character of Nowak's methodology, examine its adequacy as a comprehensive account of science, compare it with alternative accounts of the place and role of idealizations in science, and raise the question of whether Nowak's idealizational theory of socio-economic formation is a refutation or a dialectical negation of Marx's historical materialism. (shrink)

In this paper we present a new framework of idealization in biology. We characterize idealizations as a network of counterfactual and hypothetical conditionals that can exhibit different “degrees of contingency”. We use this idea to say that, in departing more or less from the actual world, idealizations can serve numerous epistemic, methodological or heuristic purposes within scientific research. We defend that, in part, this structure explains why idealizations, despite being deformations of reality, are so successful in scientific practice. For illustrative (...) purposes, we provide an example from population genetics, the Wright-Fisher Model. (shrink)

Idealized explanations are the one subtype of incomplete explanations which is most frequently used in the empirical sciences and at the same time least analyzed in philosphy of sicence. It is argued that idealized explanations, while having the same logical structure as adequate explanations, differ from these in the mode of validity of the argument. Whereas an adequate explanation shows why the occurrence of some event had to be expected, an idealized explanation argues that a certain event would occur if (...) certain conditions were fulfilled. Idealized explanations are heuristic devices which, in the long run, ought to be transformed into adequate explanations. (shrink)