The 'best-system' analysis of lawhood [Lewis 1994] faces the 'zero-fit problem': that many systems of laws say that the chance of history going actually as it goes--the degree to which the theory 'fits' the actual course of history--is zero. Neither an appeal to infinitesimal probabilities nor a patch using standard measure theory avoids the difficulty. But there is a way to avoid it: replace the notion of 'fit' with the notion of a world being typical with respect to a (...) theory. (shrink)

Statistical Mechanics (SM) involves probabilities. At the same time, most approaches to the foundations of SM—programs whose goal is to understand the macroscopic laws of thermal physics from the point of view of microphysics—are classical; they begin with the assumption that the underlying dynamical laws that govern the microscopic furniture of the world are (or can without loss of generality be treated as) deterministic. This raises some potential puzzles about the proper interpretation of these probabilities. It also raises, more generally, (...) the question of what kinds, if any, of objective probabilities can exist in a deterministic world. (shrink)

The paper develops a unified account of both deterministic and indeterministic laws of nature which inherits the merits but not the defects of the best existing accounts. As in Armstrong's account, laws are embodied in facts about universals; but not in higher‐order relations between them, and the necessity of laws is not primitive but results from their containing chances of 0 or 1. As in the Ramsey‐Lewis account, law statements would be the general axioms and theorems of the simplest deductive (...) theory of everything; but because laws are not so defined, simplicity of statement is not a criterion of law‐hood. (shrink)

David Lewis[ii] has long defended an account of scientific law acceptable even to an empiricist with significant metaphysical scruples. On this account, the laws are defined to be the consequences of the best system for axiomitizing all occurrent fact. Here "best system" means the set of sentences which yields the best combination of strength of descriptive content[iii] with simplicity of exposition. And occurrent facts, the facts to be systematized, are roughly the particular facts about a localized space-time region that are (...) non-modal, non-dispositional, and non-causal. (shrink)

Scientific accounts of existence give chance a central role. At the smallest level, quantum theory involves uncertainty and evolution is driven by chance and necessity. These ideas do not fit easily with theology in which chance has been seen as the enemy of purpose. One option is to argue, as proponents of Intelligent Design do, that chance is not real and can be replaced by the work of a Designer. Others adhere to a deterministic theology in (...) which God is in total control. Neither of these views, it is argued, does justice to the complexity of nature or the greatness of God. The thesis of this book is that chance is neither unreal nor non-existent but an integral part of God's creation. This view is expounded, illustrated and defended by drawing on the resources of probability theory and numerous examples from the natural and social worlds. (shrink)

August 16, 1997 David Lewis2 has long defended an account of scientific law acceptable even to an empiricist with significant metaphysical scruples. On this account, the laws are defined to be the consequences of the best system for axiomitizing all occurrent fact. Here "best system" means the set of sentences which yields the best combination of strength of descriptive content 3 with simplicity of exposition. And occurrent facts, the facts to be systematized, are roughly the particular facts about a localized (...) space-time region that are non-modal, non-dispositional, and non-causal. Scientists providing or attempting to provide laws are plausibly seen as giving general principles that unify a body of data. Thus they organize or systematize the arrangement of occurrences. For this reason, Lewis's account has the important merits of providing contact with actual scientific practice while making sense of the standard philosophical conception that laws should be general but more than mere accidental generalizations. However, Lewis has long known about a potential problem with this account, a problem involving chance and credence.4 In a recent series of articles he, Michael Thau, and Ned Hall have developed a new formulation of the relationship between chance and credence which solves the problem. However, I will argue that these articles leave untouched and even exacerbate a closely related and more fundamental problem with the best system account, the problem of nomic necessity. Laws are supposed to be more than true; in some sense they must be true. Yet a principle's membership in the best systematization for one world seems to say nothing about its necessity, i.e., its truth at other worlds. I close by briefly describing how an alternative empiricist account may remove both problems. (shrink)

This volume is a collection of cutting-edge research papers in scientifically informed metaphysics, tackling a range of philosophical puzzles which have emerged from recent work on chance and temporal asymmetry. How do the probabilities found in fundamental physics and the probabilities of the special sciences relate to one another? How can we account for the normative significance of chance? Can constraints on the initial conditions of the universe underwrite the second law of thermodynamics, and potentially also all other (...) lawlike regularities? How does contemporary quantum theory bear on debates over the nature of chance and the arrow of time? What grounds do we have for believing in a fundamental temporal direction, or flow? And how do all these questions connect up with one another? The aim of the volume is both to survey and summarize recent debates about chance and temporal asymmetry and to push them forward. The authors bring perspectives from metaphysics, from philosophy of physics and from philosophy of probability. Mainstream approaches are subjected to searching new critiques, and bold new proposals are made concerning (inter alia) the semantics of chance-attributions, the justification of the Principal Principle connecting chance and degree of belief, the limits on inter-theoretic reduction and the source of the temporal asymmetry of human experience. (shrink)

This paper attempts to develop a projectivistic understanding of chance or objective probability or partial determination. It does so by critically examining David Lewis’ philosophy of probability and his defense of Humean Supervenience, building thereupon the constructive projectivistic alternative, which will basically be a suitable reinterpretation of de Finetti’s position. Any treatment of the topic must show how it extends to natural necessity or deterministic laws or full determination in perfect parallel. The paper indicates at the end how this (...) demand can be met. (shrink)

Archon or the Future of Government Hamilton Fyfe Originally published in 1927 "This is a good essay on the nature of government, or politics." Economic Review "Writes with a wide experience and an intimate knowledge". Daily Herald. This volume surveys the methods of government in the past and considers the conditions of government in the world of the early twentieth century. It predicts a system under which the affairs of communities will be managed by people specially trained for the job. (...) 90pp Cain, or the Future of Crime George Godwin Originally published in 1928. "Compels the reader to think…" Saturday Review "…makes out a strong case against the stupidity and cruelty of our present dealings with crime." Evening Standard In this volume the criminal is considered as curable and incurable; and the duty of Society to cure, in the one case and its right to destroy in the other, is discussed. Arguing that psychology is the rational instrument in the treatment of delinquency the volume then envisages criminal courts divested of power of punishment. 102pp. Solon or the Price of Justice C P Harvey Originally published in 1931. This volume calls attention to the exorbitant expense of civil actions. A scholarly review of the historical causes of this is followed by examination of the various solutions that have been proposed. 100pp Lycurgus or the Future of Law E S P Haynes Originally published in 1925 "A thoughtful book – deserves careful reading…" Law Times "A humane and conscientious investigation." T P’s Weekly This volume provides an analysis of the Law in England of the 1920s?? and deals with legislation, the law courts, criminal law, family law, land-laws, costs, international law, and individual liberty. 80pp. Fortuna Or Chance and Design Norwood Young Originally published in 1929 "Ingenious. His study of the "laws of chance" are not meant for those who wish to acquire sudden fortunes." T P’s Weekly. A philosophical essay on the subject of chance which is illustrated with examples from evolution, religion, economics and gambling. (shrink)

Starting with the example of irreducible quantum events, it is shown that other kinds of events also have an element of randomness. The hallmark of “genuine” events is their irreducibility to some previous conditions. A connection between this concept and the traditional notion of contingency is explored. This concept is further brought in connection with Peirce’s Firstness. Such a notion raises the problem of how to understand causation. It seems that causes deal with individual happenings. In fact, laws are only (...) general, while causal explanations necessarily involve localization in space and time and therefore indexical connection with events. When we deal with causes, we necessarily deal with their effects, which are shifted in space and delayed in time and so do not reveal the singularity of the event that is at the origin of the process. Our descriptions of events are really about the effects of the events, not the events themselves. This helps us to define what events are in all generality: an event is what cannot be fully described by our means although we have reason to assume that it is real. (shrink)

Essay review of John Carroll's book, _Laws of Nature_.

Most of us believe everything happens for a reason. Whether it is "God's will","karma", or "fate," we want to believe that nothing in the world, especially disasters and tragedies, is a random, meaningless event. But now, as never before, confident scientific assertions that the world embodies a profound contingency are challenging theological claims that God acts providentially in the world. The random and meandering path of evolution is widely used as an argument that God did not create life.Abraham's Dice explores (...) the interplay between chance and providence in the monotheistic religious traditions, looking at how their interaction has been conceptualized as our understanding of the workings of nature has changed. This lively historical conversation has generated intense ongoing theological debates, and provocative responses from science: what are we to make of the history of our universe, where chance and law have played out in complex ways? Or the evolution of life, where random mutations have challenged attempts to find purpose within evolution and convinced many that human beings are but a "glorious accident"? The enduring belief that everything happens for a reason is examined through a conversation with major scholars, among them holders of prestigious chairs at Oxford and Cambridge Universities and the University of Basel, as well as several Gifford lecturers, and two Templeton prize winners. Organized historically, Abraham's Dice provides a wide-ranging scientific, theological, and biblical foundation to address the question of providence and divine action in a world shot through with contingency. (shrink)

One of the recurrent problems in the foundations of physics is to explain why we rarely observe certain phenomena that are allowed by our theories and laws. In thermodynamics, for example, the spontaneous approach towards equilibrium is ubiquitous yet the time-reversal-invariant laws that presumably govern thermal behaviour in the microscopic level equally allow spontaneous departure from equilibrium to occur. Why are the former processes frequently observed while the latter are almost never reported? Another example comes from quantum mechanics where the (...) formalism, if considered complete and universally applicable, predicts the existence of macroscopic superpositions—monstrous Schr¨odinger cats—and these are never observed: while electrons and atoms enjoy the cloudiness of waves, macroscopic objects are always localized to definite positions. (shrink)

In this paper, a concept of chance is introduced that is compatible with deterministic physical laws, yet does justice to our use of chance-talk in connection with typical games of chance. We take our cue from what Poincaré called "the method of arbitrary functions," and elaborate upon a suggestion made by Savage in connection with this. Comparison is made between this notion of chance, and David Lewis' conception.

I propose, in the context of Everett interpretations of quantum mechanics, a way of understanding how there can be genuine uncertainty about the future notwithstanding that the universe is governed by known, deterministic dynamical laws, and notwithstanding that there is no ignorance about initial conditions, nor anything in the universe whose evolution is not itself governed by the known dynamical laws. The proposal allows us to draw some lessons about the relationship between chance and determinism, and to dispel one (...) source of the tendency among Everettians to introduce consciousness as a primitive element into physical description. (shrink)

Statistical mechanics involves probabilities. At the same time, most approaches to the foundations of statistical mechanics--programs whose goal is to understand the macroscopic laws of thermal physics from the point of view of microphysics--are classical; they begin with the assumption that the underlying dynamical laws that govern the microscopic furniture of the world are deterministic. This raises some potential puzzles about the proper interpretation of these probabilities.

The paper addresses a puzzle about the probabilistic evaluation of counterfactuals, raised by Ernest Adams as a problem for his own theory. I discuss Brian Skyrms’s response to the puzzle. I compare this puzzle with other puzzles about counterfactuals that have arisen more recently. And I attempt to solve the puzzle in a way that is consistent with Adams’s proposal about counterfactuals.

In lieu of an abstract, here is a brief excerpt of the content:Alzheimer's Disease, Aging, Chance, and RaceAtwood D. Gaines (bio)KeywordsAlzheimer’s disease, chance, mild cognitive impairment, racism, social constructionsThomas Kirkwood's comments are a welcome, articulate detailing of how and why we age with special reference to the brain. As well, his paper indicates clearly that processes reified as pathology and disease, such as Alzheimer's disease (AD), are in fact common and inevitable as the human brain ages. Doubtless, this (...) is the reason that aging is by far the greatest risk factor for the development of AD. A key notion, briefly mentioned by Kirkwood, is that of chance. He points out that, "cells (will be) burdened with protein aggregates and similar materials that will increase with aging. Once again, which cells will experience this fate and which will continue to function healthily is strongly influenced by chance" (Kirkwood 2006, 80–81). This mention of chance is most important for our paper, "Building a Mystery," and for an understanding of science as well. In "Building a Mystery," Peter Whitehouse and I sought to show that the history of AD was not inevitable and demonstrates a variety of chance and singular decisive occurrences of encounters, interpretations, social movements, government initiatives, and technological developments. Such decisive moments do not occur by virtue of some (natural) lawful process that is unfolding, but rather, these are chance events that could have happened in other ways. Indeed, science has been viewed as human attempts to "tame chance" (Hacking 1990). However, it often does so by sleight of hand, misinterpretation, and the biomedical discourse of hope. Increasingly, we are learning that chance is a commonality, not a rarity, in social and biological domains. The biomedical approach assumes the opposite. For example, it seeks to tame the chance appearance of AD in the case of Auguste D, and does so in part by reifying differences that exist, as Kirkwood notes, along a continuum rather than as the discrete entities implied by the labels Alzheimer's disease or mild cognitive impairment (MCI).We thus stand with Kirkwood's bold recognition of chance (see also Kirkwood 2003) in the biological domain and have applied the same idea to the social domain in which we consider the practice of biomedical science. We have elsewhere emphasized consensus statements in the making of AD (Gaines and Whitehouse 1998). In the present article, we add a number of other chance, decisive sociocultural moments to the mix of social processes producing AD and MCI. We have not considered in detail here a host of cultural features in the theory and practice of biomedicine with respect to AD. These include implicit, yet highly [End Page 83] implicative, cultural notions of bilateral kinship employed in genetic research on AD considered elsewhere (Gaines 1998).Bavidge's comments are cogent as well. With respect to the notion of my concept of the local biology of "race" (Gaines 2005), it is germane to point out here that such culturally constructed biologies are relevant to a discussion of AD and other dementias. Such constructions represent culture in science. We used the dramatic example of "race" in US biomedicine because it is experiencing a resurgence as an explanatory tool. For example, recently Haiman et al. (2006) presented research that suggests that "Among cigarette smokers, African Americans and native Hawaiians are more susceptible to lung cancer than whites, Japanese Americans and Latinos." The authors assert, as have many US studies, that their findings show differences relate to the alleged biology of the social groups concerned. Their problem and that of others, is that the groups are social, not biological, and most have mixed ancestry and do not stem from distinct groups. This is particularly true of African Americans and Latinos; both groups are substantially composed of individuals with European, West African, and Native American ancestry in widely varying proportions (Gaines 2005). Thus, they are different only in terms of their classification. Such work regularly overlooks influences, such as environmental racism, discrimination, poverty, and a lack of medical care, as well as other practices. These might include, in a study of smoking, pakalolo smoking (local marijuana) among Hawaiians, who themselves are usually part Portuguese, Japanese, Chinese, and or European... (shrink)

Using game theory and examples of actual games people play, Nobel laureate Manfred Eigen and Ruthild Winkler show how the elements of chance and rules underlie ...

Statistical physicists assume a probability distribution over micro-states to explain thermodynamic behavior. The question of this paper is whether these probabilities are part of a best system and can thus be interpreted as Humean chances. I consider two Boltzmannian accounts of the Second Law, viz. a globalist and a localist one. In both cases, the probabilities fail to be chances because they have rivals that are roughly equally good. I conclude with the diagnosis that well-defined micro-probabilities under-estimate the robust character (...) of explanations in statistical physics. (shrink)

The rejection of an infinitesimal solution to the zero-fit problem by A. Elga ([2004]) does not seem to appreciate the opportunities provided by the use of internal finitely-additive probability measures. Indeed, internal laws of probability can be used to find a satisfactory infinitesimal answer to many zero-fit problems, not only to the one suggested by Elga, but also to the Markov chain (that is, discrete and memory-less) models of reality. Moreover, the generalization of likelihoods that Elga has in mind is (...) not as hopeless as it appears to be in his article. In fact, for many practically important examples, through the use of likelihoods one can succeed in circumventing the zero-fit problem. 1 The Zero-fit Problem on Infinite State Spaces 2 Elga's Critique of the Infinitesimal Approach to the Zero-fit Problem 3 Two Examples for Infinitesimal Solutions to the Zero-fit Problem 4 Mathematical Modelling in Nonstandard Universes? 5 Are Nonstandard Models Unnatural? 6 Likelihoods and Densities A Internal Probability Measures and the Loeb Measure Construction B The (Countable) Coin Tossing Sequence Revisited C Solution to the Zero-fit Problem for a Finite-state Model without Memory D An Additional Note on ‘Integrating over Densities’ E Well-defined Continuous Versions of Density Functions. (shrink)

"We must turn to the Euthydemus if we are to understand both Plato's earlier and his more mature work. Thomas Chance's book is an indispensible tool for penetrating to the sources of Plato's thinking on the nature of philosophy. This is the most impressive treatment of the dialogue so far available to scholars, and the interpretations offered will surely be the starting point for all future discussions."--G. B. Kerferd, Emeritus, University of Manchester "A sensitive and well-informed study of an (...) important and much neglected dialogue."--R. E. Allen, Northwestern University "A sensitive and well-informed study of an important and much neglected dialogue."--R. E. Allen "Chance's book [will be] an indispensable tool for penetrating to the sources of Plato's thinking.... The interpretations offered will surely be the starting point for all future discussions."--George Kerferd. (shrink)

I argue against the common and influential view that non-trivial chances arise only when the fundamental laws are indeterministic. The problem with this view, I claim, is not that it conflicts with some antecedently plausible metaphysics of chance or that it fails to capture our everyday use of ‘chance’ and related terms, but rather that it is unstable. Any reason for adopting the position that non-trivial chances arise only when the fundamental laws are indeterministic is also a reason (...) for adopting a much stronger, and far less attractive, position. I suggest an alternative account, according to which chances are probabilities that play a certain explanatory role: they are probabilities that explain associated frequencies. (shrink)

Kant's notion of ‘discipline’ has received considerable attention from scholars of his philosophy of education, but its role in his theoretical philosophy has been largely ignored. This omission is surprising since his discussion of discipline in the first Critique is not only more extensive and expansive in scope than his other discussions but also predates them. The goal of this essay is to provide a comprehensive reading of the Discipline that emphasizes its systematic importance in the first Critique. I argue (...) that its goal is to establish a set of rules for the use of pure reason that, if followed, will mitigate and perhaps even eliminate our tendency to make judgments about supersensible objects. Since Kant's justification for these rules relies crucially on claims he has defended in the Doctrine of Elements, I argue further that, far from being a dispensable part of the Critique as commentators have tended to claim, the Discipline is, in fact, the culmination of Kant's critique of metaphysics. (shrink)

This article aims to highlight the extent to which Kant’s account of belief draws on the views of his contemporaries. Situating the non-evidentialist features of Crusius’s account of belief within his broader account, I argue that they include antecedents to both Kant’s distinction between pragmatic and moral belief and his conception of a postulate of pure practical reason. While moving us closer to Kant’s arguments for the first postulate, however, both Crusius’s and Meier’s arguments for the immortality of the soul (...) fail to anticipate the most important aspect of their Kantian counterparts. Developing the non-evidentialist features of Basedow’s account of belief, I distinguish it from its Pascalian and Jamesian relatives and argue that it is the clearest antecedent to Kant’s arguments for the first and second postulates. Finally, I consider the development of Kant’s account of belief after the first Critique in light of the foregoing, and discuss the broader implications of my analysis. (shrink)

Faced with the paradox of undermining futures, Humeans have resigned themselves to accounts of chance that severely conflict with our intuitions. However, such resignation is premature: The problem is Humean supervenience (HS), not Humeanism. This paper develops a projectivist Humeanism on which chance claims are understood as normative, rather than fact stating. Rationality constraints on the cotenability of norms and factual claims ground a factual-normative worlds semantics that, in addition to solving the Frege-Geach problem, delivers the intuitive set (...) of possibilia for each chance law. Hence, the account does not entail HS, and the paradox does not arise. A confirmation theory is developed, and the 'principal principle' is justified. (shrink)

A previously unrecognised argument against deterministic chance is introduced. The argument rests on the twin ideas that determined outcomes are settled, while chancy outcomes are unsettled, thus making cases of determined but chancy outcomes impossible. Closer attention to tacit assumptions about settledness makes available some principled lines of resistance to the argument for compatibilists about chance and determinism. Yet the costs of maintaining compatibilism may be higher with respect to this argument than with respect to existing incompatibilist arguments.

I argue against the common and influential view that non-trivial chances arise only when the fundamental laws are indeterministic. The problem with this view, I claim, is not that it conflicts with some antecedently plausible metaphysics of chance or that it fails to capture our everyday use of ‘chance’ and related terms, but rather that it is unstable. Any reason for adopting the position that non-trivial chances arise only when the fundamental laws are indeterministic is also a reason (...) for adopting a much stronger, and far less attractive, position. I suggest an alternative account, according to which chances are probabilities that play a certain explanatory role: they are probabilities that explain associated frequencies. 1 Introduction2 A Paradigm Case3 The Incompatibilist’s Criterion4 Against the Incompatibilist’s Criterion5 The Explanatory Criterion6 Conclusion. (shrink)

In both his published works and lecture notes Kant distinguishes between Transcendental and Natural Theology, associating the former with Deism and the latter with Theism. The purpose of this paper is to explore these distinctions, particularly as they are shaped by Kant’s engagement with Baumgarten’s Philosophical Theology.

Kant's response to scepticism in the Critique of Pure Reason is complex and remarkably nuanced, although it is rarely recognized as such. In this paper, I argue that recent attempts to flesh out the details of this response by Paul Guyer and Michael Forster do not go far enough. Although they are right to draw a distinction between Humean and Pyrrhonian scepticism and locate Kant's response to the latter in the Transcendental Dialectic, their accounts fail to capture two important aspects (...) of this response. The first is that Kant's response to Pyrrhonian scepticism is also a response to Hume. The second is that aspects of this response are decidedly positive. In particular, I argue (1) that Kant believed Hume's scepticism manifested important elements of Pyrrhonian scepticism and (2) that both Pyrrhonian scepticism and Hume had a significant positive influence on the development of the Transcendental Dialectic. (shrink)

Hume’s account of causation is often regarded a challenge Kant must overcome if the Critical philosophy is to be successful. But from Kant’s time to the present, Hume’s denial of our ability to cognize supersensible objects, a denial that relies heavily on his account of causation, has also been regarded as a forerunner to Kant’s critique of metaphysics. After identifying reasons for rejecting Wayne Waxman’s recent account of Kant’s debt to Hume, I present my own, more modest account of this (...) debt, an account that seeks to unite the two very different pictures of Kant’s relationship to Hume sketched above. (shrink)

In this chapter we explore the importance of the Pantheism Controversy for the evolution of Kant’s so-called “Moral Argument” for the Highest Good and its postulates. After an initial discussion of the Canon of the Critique of Pure Reason, we move on to the relationship between faith and reason in the Pantheism Controversy, Kant’s response to the Controversy in his 1786 “Orientation” Essay, Thomas Wizenmann’s criticisms of that essay, and finally to the Critique of Practical Reason. We argue that while (...) Kant used the Pantheism Controversy to reset his account of the Highest Good, its treatment in the Orientation Essay was susceptible to the objections raised by Thomas Wizenmann, and thus in need of the further advances found in the Critique of Practical Reason. (shrink)

The importance of the pure concepts of the understanding (i.e. the categories) within Kant’s system of philosophy is undeniable. As I hope to make clear in this essay, however, the categories are also an essential part of Kant’s critique of Christian Wolff. In particular, I argue that Kant’s development of the categories represents a decisive break with the Wolffian conception of the understanding and that this break is central to understanding the task of the Transcendental Analytic. This break, however, is (...) not merely that Kant affirms while Wolff and his followers deny a sharp distinction between sensibility and the understanding, which is the aspect of Kant’s rejection of Wolff that scholars most frequently note. Rather, this break concerns differences in their views about the understanding itself. For while Wolff conceives of the understanding as a mental capacity to extract and make distinct content already present in the senses, Kant conceives of the understanding in its “real use” as a capacity to produce purely intellectual content. (shrink)

Eric Watkins has argued on philosophical, textual, and historical grounds that Kant’s account of causation in the first Critique should not be read as an attempt to refute Hume’s account of causation. In this paper, I challenge the arguments for Watkins’ claim. Specifically, I argue (1) that Kant’s philosophical commitments, even on Watkins’ reading, are not obvious obstacles to refuting Hume, (2) that textual evidence from the “Disciple of Pure Reason” suggests Kant conceived of his account of causation as such (...) a refutation, and (3) that none of Hume’s early German critics provided responses to this account that would have satisfied Kant. Watkins’ reading of Kant’s account of causation is thus more compatible with traditional views about Kant’s relationship to Hume than Watkins believes. (shrink)

It is often claimed that the structure of the Transcendental Logic is modeled on the Wolffian division of logic textbooks into sections on concepts, judgments, and inferences. While it is undeniable that the Transcendental Logic contains elements that are similar to the content of these sections, I believe these similarities are largely incidental to the structure of the Transcendental Logic. In this essay, I offer an alternative and, I believe, more plausible account of Wolff’s influence on the structure of the (...) Transcendental Logic, one that puts the focus on his empirical psychology rather than his logic. In particular, I argue that the structure of the Transcendental Logic is deeply indebted to a conception of purity that Wolff introduces in his empirical psychology and that this conception sheds more light on the overall structure of the Transcendental Logic than the accepted view. In section one, I outline two conceptions of purity found in Kant and trace them to similar views in Wolff. In section two, I turn to Kant’s views about logic as they are expressed in the Critique and argue that it is best to interpret Kant’s taxonomy of logic on its own terms rather than reading it through its terminological similarities to aspects of the Wolffian tradition. In section three, I argue that the second of the two conceptions of purity identified in section one is central to the structure of the Transcendental Logic. In doing so, I argue against the widespread view that this section of the Critique is modeled solely on what Kant calls pure general logic as opposed to both pure and applied general logic. I then conclude by briefly reviewing my account and considering some of its broader implications for our understanding of Kant. (shrink)

It is generally thought that objective chances for particular events different from 1 and 0 and determinism are incompatible. However, there are important scientific theories whose laws are deterministic but which also assign non-trivial probabilities to events. The most important of these is statistical mechanics whose probabilities are essential to the explanations of thermodynamic phenomena. These probabilities are often construed as 'ignorance' probabilities representing our lack of knowledge concerning the microstate. I argue that this construal is incompatible with the role (...) of probability in explanation and laws. This is the 'paradox of deterministic probabilities'. After surveying the usual list of accounts of objective chance and finding them inadequate I argue that an account of chance sketched by David Lewis can be modified to solve the paradox of deterministic probabilities and provide an adequate account of the probabilities in deterministic theories like statistical mechanics. (shrink)

This paper attempts to shed light on three sets of issues that bear directly on our understanding of Locke and Kant. The first is whether Kant believes Locke merely anticipates his distinction between analytic and synthetic judgments or also believes Locke anticipates his notion of synthetic a priori cognition. The second is what should we as readers of Kant and Locke should think about Kant’s view whatever it turns out to be, and the third is the nature of Kant’s justification (...) for the comparison he draws between his philosophy and Locke’s. I argue (1) that Kant believes Locke anticipates both the analytic-synthetic distinction and Kant’s notion of synthetic a priori cognition, (2) that the best justification for Kant’s claim draws on Locke’s distinction between trifling and instructive knowledge, (3) that the arguments against this claim developed by Carson, Allison, and Newman fail to undermine it, and (4) that Kant’s own justification for his claim is quite different from what many commentators have thought it was (or should have been). (shrink)