Laws and Models in a Theory of Idealization

I first give a brief summary of a critique of the traditional theories of approximation and idealization; and after identifying one of the major roles of idealization as detaching component processes or systems from their joints, a detailed analysis is given of idealized laws – which are discoverable and/or applicable – in such processes and systems (i.e., idealized model systems). Then, I argue that dispositional properties should be regarded as admissible properties for laws and that such an inclusion supplies the much needed connection between idealized models and the laws they `produce' or `accommodate'. And I then argue that idealized law-statements so produced or accommodated in the models may be either true simpliciter or true approximately, but the latter is not because of the idealizations involved. I argue that the kind of limiting-case idealizations that produce approximate truth is best regarded as approximation; and finally I compare my theory with some existing theories of laws of nature.We seem to trace [in KingLear] ... the tendency of imagination toanalyse and abstract, to decomposehuman nature into its constituentfactors, and then to construct beings in whomone or more of these factors isabsent or atrophied or only incipient     

Approximations, Idealizations, and Models in Statistical Mechanics

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.     

On an Argument for Humility

Considerations upon the nature of properties and laws have led some philosophers to claim that the correct epistemic attitude with regards to the intrinsic properties of particulars is scepticism. I examine one particularly clear version of this line of argument, and contend that a serious form of scepticism is not established. However, I argue that the theories of properties and laws underlying the argument have unwanted metaphysical implications. These provide a stronger reason to jettison the analyses. I end by sketching an alternative view that avoids these difficulties.     

Supervenience and explanation

This paper explores the explanatory adequacy of lower-level theories when their higher-level counterparts are irreducible. If some state or entity described by a high-level theory supervenes upon and is realized in events, entities, etc. described by the relevant lower-level theory, does the latter fully explain the higher-level event even if the higher-level theory is irreducible? While the autonomy of the special sciences and the success of various eliminativist programs depends in large part on how we answer this question, neither the affirmative or negative answer has been defended in detail. I argue, contra Putnam and others, that certain facts about causation and explanation show that such lower-level theories do explain. I also argue, however, that there may be important questions about counterfactuals and laws that such explanations cannot answer, thereby showing their partial inadequacy. I defend the latter claim against criticisms based on eliminativism about higher-level explanations and sketch a number of empirical conditions that lower-level explanations would have to meet to fully explain higher-level events.     

Are Mathematical Theories Reducible to Non-analytic Foundations?

In this article I intend to show that certain aspects of the axiomatical structure of mathematical theories can be, by a phenomenologically motivated approach, reduced to two distinct types of idealization, the first-level idealization associated with the concrete intuition of the objects of mathematical theories as discrete, finite sign-configurations and the second-level idealization associated with the intuition of infinite mathematical objects as extensions over constituted temporality. This is the main standpoint from which I review Cantor’s conception of infinite cardinalities and also the metatheoretical content of some later well-known theorems of mathematical foundations. These are, the Skolem-Löwenheim Theorem which, except for its importance as such, it is also chosen for an interpretation of the associated metatheoretical paradox (Skolem Paradox), and Gödel’s (first) incompleteness result which, notwithstanding its obvious influence in the mathematical foundations, is still open to philosophical inquiry. On the phenomenological level, first-level and second-level idealizations, as above, are associated respectively with intentional acts carried out in actual present and with certain modes of a temporal constitution process.     

The Trouble with Truth-Makers

This paper argues that theories of truth which seek to specify the ontological ground of true statements by appealing to an ontology of truth-makers face a severe and possibly insurmountable obstacle in the form of logically complex statements. I argue that there is no apparent way to develop an account of logically complex truth within the confines of a modest and plausible ontology of truth-makers and to this end criticize independent attempts by Armstrong and Pendlebury to develop such an account.     

A PARADOX OF JUSTIFIED BELIEVING

The following principles may plausibly be included in a wide range of theories of epistemic justification:

• (1) 

  There are circumstances in which an agent is justified in believing a falsehood,
• (2) 

  There are circumstances in which an agent is justified in believing a principle of epistemic justification,
• (3) 

  Beliefs acquired in compliance with a justifiably-believed epistemic principle are justified.

I argue that it follows from these three individually plausible claims that an agent's belief may be both justified and unjustified. I consider how theories may avoid this paradox, and conclude that deontological theories of epistemic justification face considerable, perhaps insurmountable, difficulties.     

Idealization in Applied First-Order Logic

Applying first-order logic to derive the consequences of laws that are only approximately true of empirical phenomena involves idealization of a kind that is akin to applying arithmetic to calculate the area of a rectangular surface from approximate measures of the lengths of its sides. Errors in the data, in the exactness of the lengths in one case and in the exactness of the laws in the other, are in some measure transmitted to the consequences deduced from them, and the aim of a theory of idealization is to describe this process. The present paper makes a start on this in the case of applied first-order logic, and relates it to Plato's picture of a world or model of 'appearances' in which laws are only approximately true, but which to some extent resembles an ideal world or model in which they are exactly true. This revised version was published online in June 2006 with corrections to the Cover Date.     

FINE'S MCTAGGART,TEMPORAL PASSAGE,AND THE A VERSUS B‐DEBATE

I offer an interpretation and a partial defense of Kit Fine's ‘Argument from Passage’, which is situated within his reconstruction of McTaggart's paradox. Fine argues that existing A‐theoretic approaches to passage are no more dynamic, i.e. capture passage no better, than the B‐theory. I argue that this comparative claim is correct. Our intuitive picture of passage, which inclines us towards A‐theories, suggests more than coherent A‐theories can deliver. In Finean terms, the picture requires not only Realism about tensed facts, but also Neutrality, i.e. the tensed facts not being ‘oriented towards’ one privileged time. However unlike Fine, and unlike others who advance McTaggartian arguments, I take McTaggart's paradox to indicate neither the need for a more dynamic theory of passage nor that time does not pass. A more dynamic theory is not to be had: Fine's ‘non‐standard realism’ amounts to no more than a conceptual gesture. But instead of concluding that time does not pass, we should conclude that theories of passage cannot deliver the dynamicity of our intuitive picture. For this reason, a B‐theoretic account of passage that simply identifies passage with the succession of times is a serious contender.     

I, zombie

Certain recent philosophical theories offer the prospect that zombies are possible. These theories argue that experiential contents, or qualia, are nonphysical properties. The arguments are based on the conceivability of alternate worlds in which physical laws and properties remain the same, but in which qualia either differ or are absent altogether. This article maintains that qualia are, on the contrary, physical properties in the world. It is shown how, under the burden of the a posteriori identification of qualia with physical properties, a reasoned choice can be made between the two types of theories which ultimately favors materialism and rejects zombies.     

Why concepts can't be theories

In this paper, I present an alternative argument for Jerry Fodor's recent conclusion that there are currently no tenable theories of concepts in the cognitive sciences and in the philosophy of mind. Briefly, my approach focuses on the ‘theory-theory’ of concepts. I argue that the two ways in which cognitive psychologists have formulated this theory lead to serious difficulties, and that there cannot be, in principle, a third way in which it can be reformulated. Insofar as the ‘theory-theory’ is supposed to replace, and to rectify the problems of, the earlier ‘classical’ and ‘probabilistic’ theories, its failure confirms Fodor's original observation. Since my critique does not rest on controversial philosophical assumptions and is readily available from within the cognitive sciences, it is a stronger argument than Fodor's.     

Problems for contrastive closure: resolved and regained

The standard contextualist solution to the skeptical paradox is intended to provide a way to retain epistemic closure while avoiding the excessive modesty of radical skepticism and the immodesty of Moorean dogmatism. However, contextualism’s opponents charge that its solution suffers from epistemic immodesty comparable to Moorean dogmatism. According to the standard contextualist solution, all contexts where an agent knows some ordinary proposition to be true are contexts where she also knows that the skeptical hypotheses are false. It has been hoped that contrastivist theories of knowledge can mirror the contextualist solution while avoiding this epistemic immodesty. I review the main problems for contrastive closure and argue that none of the arguments currently in the literature pose an insurmountable problem for the contrastivist solution. However, I argue that contrastivist theories of knowledge, like their contextualist rivals, are indeed committed to epistemic immodesty.     

PRESENTISM AND PERSISTENCE

In this paper, I examine various theories of persistence through time under presentism. In Part I, I argue that both perdurantist views (namely, the worm view and the stage view) suffer, in combination with presentism, from serious difficulties and should be rejected. In Part II, I discuss the presentist endurantist view, to see that it does avoid the difficulties of the perdurantist views, and consequently that it does work, but at a price that some may consider as being very high: its ontological commitments to platonic universals and to the substratum theory, that as we shall see follow from the combination of endurantism with presentism, will perhaps not be to everyone's taste.     

Truthmaking, Recombination, and Facts Ontology

The idea of truthmakers is important for doing serious metaphysics, since a truthmaker principle can give us important guidance in finding out what we would like to include into our ontology. Recently, David Lewis has argued against Armstrong’s argument that a plausible truthmaker principle requires us to accept facts. I would like to take a close look at the argument. I will argue in detail that the Humean principle of recombination on which Lewis relies is not plausible (independently of the issue of facts). Then I will show that the right truthmaker principle that vindicates facts is superior to the modified truthmaker principle that Lewis has proposed. This will lead into the topic of being and existence. It turns out that truthmaking and facts are plausible, well suited for one another, and very coherent with a plausible conception of being.     

Virtue theory,ideal observers,and the supererogatory

I argue that recent virtue theories (including those of Hursthouse, Slote, and Swanton) face important initial difficulties in accommodating the supererogatory. In particular, I consider several potential characterizations of the supererogatory modeled upon these familiar virtue theories (and their accounts of rightness) and argue that they fail to provide an adequate account of supererogation. In the second half of the paper I sketch an alternative virtue-based characterization of supererogation, one that is grounded in the attitudes of virtuous ideal observers, and that avoids the concerns raised in the first part of the paper.     

MORAL FACTS AND SUITABLY INFORMED SUBJECTS: A REPLY TO DENHAM

The nature of moral facts, and their relationship to rationality, imagination and sentiment, have been central and pressing issues in recent moral philosophy. In this paper, I discuss and criticise a meta‐ethical theory put forward by Alison Denham, which views moral facts as being constituted by the responses of ideal, empathetic agents. I argue that Denham's account is radically unstable, in that she has given us an account of the nature of such agents which is inconsistent with an independently plausible principle relating to concept acquisition. I go on to discuss one line of defence that Denham might employ, but argue that taking such a line entails abandoning what she takes to be an important advantage of her account over rival ideal‐observer theories such as Michael Smith’s.     

Analytic Idealizations and the Disavowed: Winnicott,His Patients,and Us

This paper explores the dynamics of mutual idealization within the analytic dyad. While the subject of idealization is not a new one, very little has been written about the analyst's own participation in patients' idealizations or her vulnerability to idealizing the patient. I use both published and unpublished materials to muse about coconstructed idealizations as they appear to have coalesced in Winnicott's treatment of Masud Khan and Harry Guntrip. Because the notion that we might be involved in being idealized by our patients—or in idealizing them—collides with our professional vision, we tend to be highly resistant to acknowledging these dynamics and often turn to denigration when they are unmasked. I argue for the ubiquity of idealization's dynamics and against the demonization of Winnicott.