One of the most actively discussed aspects of Keynes's thought during the last decade has been his concern with uncertainty and probability theory. As the concerns of current macroeconomic theorists have turned increasingly to the effects of expectations and uncertainty, interest has grown in the fact that Keynes was the author of A Treatise on Probability and that uncertainty plays a prominent role in Chapter 12 of The General Theory as well as in three 1937 papers in which he summarized (...) The General Theory's main point. Not surprisingly, though, there has been very little agreement in this recent discussion about exactly what the significance of Keynes's early work in probability was to his later work as an economist, or about what the roles of uncertainty and expectations are in The General Theory. (shrink)

Since the mid-1970s, scholars have recognized that the skeptical interpretation of Hume's central argument about induction is problematic. The science of human nature presupposes that inductive inference is justified and there are endorsements of induction throughout "Treatise" Book I. The recent suggestion that I.iii.6 is confined to the psychology of inductive inference cannot account for the epistemic flavor of its claims that neither a genuine demonstration nor a non-question-begging inductive argument can establish the uniformity principle. For Hume, that inductive inference (...) is justified is part of the data to be explained. Bad argument is therefore excluded as the cause of inductive inference; and there is no good argument to cause it. Does this reinstate the problem of induction, undermining Hume's own assumption that induction is justified? It does so only if justification must derive from "reason", from the availability of a cogent argument. Hume rejects this internalist thesis; induction's favorable epistemic status derives from features of custom, the mechanism that generates inductive beliefs. Hume is attracted to this externalist posture because it provides a direct explanation of the epistemic achievements of children and non-human animals — creatures that must rely on custom unsupplemented by argument. (shrink)

How should we react to the contention that there is empirical evidence showing that many judge Gettier cases to be cases of knowledge, contrary to the verdict of most analytical philosophers about these cases? I argue that there is no single answer to this question. The discussion is set inside a view about how to view the role and significance of intuitive responses to some of philosophy's famous thought experiments. One take-home message is that experimental philosophy and conceptual analysis are (...) not as far apart as is often thought. (shrink)

In his Bayesian Nets and Causality, Jon Williamson presents an ‘Objective Bayesian’ interpretation of probability, which he endeavours to distance from the logical interpretation yet associate with the subjective interpretation. In doing so, he suggests that the logical interpretation suffers from severe epistemological problems that do not affect his alternative. In this paper, I present a challenge to his analysis. First, I closely examine the relationship between the logical and ‘Objective Bayesian’ views, and show how, and why, they are highly (...) similar. Second, I argue that the logical interpretation is not manifestly inferior, at least for the reasons that Williamson offers. I suggest that the key difference between the logical and ‘Objective Bayesian’ views is in the domain of the philosophy of logic; and that the genuine disagreement appears to be over Platonism versus nominalism. (shrink)

In this paper, I consider an argument for the claim that any satisfactory epistemology of mathematics will violate core tenets of naturalism, i.e. that mathematics cannot be naturalized. I find little reason for optimism that the argument can be effectively answered.

Quantum mechanics is a fundamentally probabilistic theory (at least so far as the empirical predictions are concerned). It follows that, if one wants to properly understand quantum mechanics, it is essential to clearly understand the meaning of probability statements. The interpretation of probability has excited nearly as much philosophical controversy as the interpretation of quantum mechanics. 20th century physicists have mostly adopted a frequentist conception. In this paper it is argued that we ought, instead, to adopt a logical or Bayesian (...) conception. The paper includes a comparison of the orthodox and Bayesian theories of statistical inference. It concludes with a few remarks concerning the implications for the concept of physical reality. (shrink)

Quantitative researchers often discuss research ethics as if specific ethical problems can be reduced to abstract normative logics (e.g., virtue ethics, utilitarianism, deontology). Such approaches overlook how values are embedded in every aspect of quantitative methods, including ‘observations,’ ‘facts,’ and notions of ‘objectivity.’ We describe how quantitative research practices, concepts, discourses, and their objects/subjects of study have always been value-laden, from the invention of statistics and probability in the 1600s to their subsequent adoption as a logic made to appear as (...) if it exists prior to, and separate from, ethics and values. This logic, which was embraced in the Academy of Management from the 1960s, casts management researchers as ethical agents who ought to know about a reality conceptualized as naturally existing in the image of statistics and probability (replete with ‘constructs’), while overlooking that S&P logic and practices, which researchers made for themselves, have an appreciable role in making the world appear this way. We introduce a different way to conceptualize reality and ethics, wherein the process of scientific inquiry itself requires an examination of its own practices and commitments. Instead of resorting to decontextualized notions of ‘rigor’ and its ‘best practices,’ quantitative researchers can adopt more purposeful ways to reason about the ethics and relevance of their methods and their science. We end by considering implications for addressing ‘post truth’ and ‘alternative facts’ problems as collective concerns, wherein it is actually the pluralistic nature of description that makes defending a collectively valuable version of reality so important and urgent. (shrink)

Behavioral economics focuses mainly on how limitations of the human cognitive apparatus, risk attitudes, and human sociality affect decision making. The former two lead to deviations from rationality standards, the latter to deviations from rational self-interest. Some of these research interests are also shared by evolutionary psychology which, however, explains the observed deviations by features of the human genetic endowment conjectured to have evolved under fierce selection pressure in early human phylogeny. Important as the decision-making theoretical perspective of the two (...) disciplines is, it will be claimed to be too narrow to fully account for what an evolutionary approach has to say about economic behavior. This is particularly true regarding the questions of what choices are made and what causes them, i.e., the motivational aspects of behavior. In the language of economics this points to the agents’ preferences. This article discusses how preferences relate to the human genetic endowment, how they can change over time, and what conclusions have to be drawn from extending the analysis to the motivational side. (shrink)

Sometimes, we think of belief as a phenomenon that comes in degrees – that is, in the many different levels of confidence that a thinker might have in various different propositions. Sometimes, we think of belief as a simple two-place relation that holds between a thinker and a proposition – that is, as what I shall here call "outright belief".

The ArgumentThe argument developed herein, a countertheme to the Merton thesis, is that the ideal of science pursued by Galileo and his contemporaries in Italy would be unaffected by their Catholic faith if it could achieve apodictic proof in the subject of its investigations, in which case it would attain truth – the very goal sought by that faith. Unfortunately such proof was hard to come by in early seventeenth-century mechanics. A case study is proposed to show Galileo's difficulty demonstrating (...) the tensile strength of columns in mathematical physics on the basis of improper suppositions, contrasting these with the suppositions of a contemporary, Giovanni de Guevara. The case study casts new light on the subject of Galileo's atomism and its relation to the Eucharist, refuting Redondi's claim that this was the real motive behind Galileo's trial in 1633. A further lesson relating to the Merton thesis can also be drawn, namely, that while challenges to science from religious orthodoxy may appear as temporary obstacles, in the long run they are an aid to science in its efforts to bring mankind closer to the truth. (shrink)

Contrary to conventional accounts, critical knowledge of the cultural differences of Amerindian peoples was not absent in the early Conquest of the Americas. It was indeed a constitutive element of that process. The knowledge, strategies, and institutions of early Conquest relied on, and reproduced, Amerindian difference within the Spanish Empire as an essential element of that empire’s continued claims to legitimate authority. I demonstrate this through a focus on three parallel and sometimes overlapping texts: Ramón Pané’s Indian Antiquities; Peter Martyr (...) d’Anghierra’s First Decade; and the first systematic attempt to govern colonized populations in the Americas, the Laws of Burgos. Not only did each text furnish the necessary material upon which the claims to intellectual, and so civilizational, superiority that were central to the justification of empire could be sustained. What is more, they transformed Amerindian difference from an object of knowledge into a subject of governance. (shrink)

In Tsuji 1997 the concept of Jeffrey-Keynes algebras was introduced in order to construct a paraconsistent theory of decision under uncertainty. In the present paper we show that these algebras can be used to develop a theory of decision under uncertainty that measures the degree of belief on the quasi (or partial) truth of the propositions. As applications of this new theory of decision, we use it to analyze Popper's paradox of ideal evidence and to indicate a possible way of (...) formalizing Keynes' theory of economic action. (shrink)

The introduction has a brief statement, sufficient for the purpose of this paper, which describes in general terms the notion of probability logic on which the paper is based. Contributions made in the eighteenth century by Leibniz, Jacob Bernoulli and Lambert, and in the nineteenth century by Bolzano, De Morgan, Boole, Peirce and MacColl are critically examined from a contemporary point of view. Historicity is maintained by liberal quotations from the original sources accompanied by interpretive explanation. Concluding the paper is (...) a summary. (shrink)

The use of the Bayes factor (BF) or likelihood ratio as a metric to assess the probative value of forensic traces is largely supported by operational standards and recommendations in different forensic disciplines. However, the progress towards more widespread consensus about foundational principles is still fragile as it raises new problems about which views differ. It is not uncommon e.g. to encounter scientists who feel the need to compute the probability distribution of a given expression of evidential value (i.e. a (...) BF), or to place intervals or significance probabilities on such a quantity. The article here presents arguments to show that such views involve a misconception of principles and abuse of language. The conclusion of the discussion is that, in a given case at hand, forensic scientists ought to offer to a court of justice a given single value for the BF, rather than an expression based on a distribution over a range of values. (shrink)

I analyse critically what I regard as the most accomplished empiricist account of propensities, namely the long run propensity theory developed by Donald Gillies . Empiricist accounts are distinguished by their commitment to the ‘identity thesis’: the identification of propensities and objective probabilities. These theories are intended, in the tradition of Karl Popper’s influential proposal, to provide an interpretation of probability that renders probability statements directly testable by experiment. I argue that the commitment to the identity thesis leaves empiricist theories, (...) including Gillies’ version, vulnerable to a variant of what is known as Humphreys’ paradox. I suggest that the tension may be resolved only by abandoning the identity thesis, and by adopting instead an understanding of propensities as explanatory properties of chancy objects. (shrink)

The basic alternatives seem to be either a Humean reductionist view that any particular assertion needs backing with inductive evidence for its reliability before it can retionally be believed, or a Reidian criterial view that testimony is intrinscially, though defeasibly, credible, in the absence of evidence against its reliability.Some recent arguments from the constraints on interpreting any linguistic performances as assertions with propositional content have some force against the reductionist view. We thus have reason to accept the criterial view, at (...) least as applied to eyewitness reports. But these considerations do not establish that any rational enquirer must have the concept of other minds or testimony. The logical possibility of the lone enquirer, who uses symbols and thereby expresses some knowledge of his world, remains open — but it is a question we have no need to pronounce upon. (shrink)

The received model of degrees of belief represents them as probabilities. Over the last half century, many philosophers have been convinced that this model fails because it cannot make room for the idea that an agent’s degrees of belief should respect the available evidence. In its place they have advocated a model that represents degrees of belief using imprecise probabilities (sets of probability functions). This paper presents a model of degrees of belief based on Dempster–Shafer belief functions and then presents (...) arguments for belief functions over imprecise probabilities as a model of evidence-respecting degrees of belief. The arguments cover three kinds of issue: theoretical virtues (simplicity, interpretability and flexibility); motivations; and problem cases (dilation and belief inertia). (shrink)

Abordamos aqui a influência do método de Condillac sobre a história da química. Partindo da confessada dívida de Lavoisier com o abade, propomo-nos a avaliar o aporte que o método condillaquiano terá para a filosofia natural da segunda metade do XVIII, colocando-a primeiramente na perspectiva da onda newtoniana que contaminou progressivamente as ciências a partir do fim do XVII. Mostramos então como o método de Newton, via alquimia, é capaz de inserir aspectos alheios ao mecanicismo estrito nas discussões, o que (...) garantirá à química legitimidade para se valer de conceitos como atrações e afinidades. Mais tarde, ao constituir e sistematizar um método geral de conhecimento marcado pelo modelo newtoniano, Condillac legará aos naturalistas meios para ordenar proficuamente novas regiões de conhecimento. Quando adequadamente adaptado por Lavoisier aos problemas químicos, este método promoverá a “revolução” da química, ou seu estabelecimento definitivo como ciência positiva. (shrink)

In contrast to the opinion of numerous authors (e.g. R. Rudner, P. Kitcher, L. R. Graham, M. Dummett, N. Chomsky, R. Lewontin, etc.) it is argued here that the formation of opinion in science should be greatly insulated from political considerations. Special attention is devoted to the view that methodological standards for evaluation of scientific theories ought to vary according to the envisaged political uses of these theories.

A careful analysis of Salmon’s Theoretical Realism and van Fraassen’s Constructive Empiricism shows that both share a common origin: the requirement of literal construal of theories inherited by the Standard View. However, despite this common starting point, Salmon and van Fraassen strongly disagree on the existence of unobservable entities. I argue that their different ontological commitment towards the existence of unobservables traces back to their different views on the interpretation of probability via different conceptions of induction. In fact, inferences to (...) statements claiming the existence of unobservable entities are inferences to probabilistic statements, whence the crucial importance of the interpretation of probability. (shrink)

This article gives a brief history of chance in the Christian tradition, from casting lots in the Hebrew Bible to the discovery of laws of chance in the modern period. I first discuss the deep-seated skepticism towards chance in Christian thought, as shown in the work of Augustine, Aquinas, and Calvin. The article then describes the revolution in our understanding of chance—when contemporary concepts such as probability and risk emerged—that occurred a century after Calvin. The modern ability to quantify chance (...) has transformed ideas about the universe and human nature, separating Christians today from their predecessors, but has received little attention by Christian historians and theologians. (shrink)

This paper is about the differences between probabilities and beliefs and why reasoning should not always conform to probability laws. Probability is defined in terms of urn models from which probability laws can be derived. This means that probabilities are expressed in rational numbers, they suppose the existence of veridical representations and, when viewed as parts of a probability model, they are determined by a restricted set of variables. Moreover, probabilities are subjective, in that they apply to classes of events (...) that have been deemed (by someone) to be equivalent, rather than to unique events. Beliefs on the other hand are multifaceted, interconnected with all other beliefs, and inexpressible in their entirety. It will be argued that there are not sufficient rational numbers to characterise beliefs by probabilities and that the idea of a veridical set of beliefs is questionable. The concept of a complete probability model based on Fisher's notion of identifiable subsets is outlined. It is argued that to be complete a model must be known to be true. This can never be the case because whatever a person supposes to be true must be potentially modifiable in the light of new information. Thus to infer that an individual's probability estimate is biased it is necessary not only to show that the estimate differs from that given by a probability model, but also to assume that this model is complete, and completeness is not empirically verifiable. It follows that probability models and Bayes theorem are not necessarily appropriate standards for people's probability judgements. The quality of a probability model depends on how reasonable it is to treat some existing uncertainty as if it were equivalent to that in a particular urn model and this cannot be determined empirically. Bias can be demonstrated in estimates of proportions of finite populations such as in the false consensus effect. However the modification of beliefs by ad hoc methods like Tversky and Kahneman's heuristics can be justified, even though this results in biased judgements. This is because of pragmatic factors such as the cost of obtaining and taking account of additional information which are not included even in a complete probability model. Finally, an analogy is drawn between probability models and geometric figures. Both idealisations are useful but qualitatively inadequate characterisations of nature. A difference between the two is that the size of any error can be limited in the case of the geometric figure in a way that is not possible in a probability model. (shrink)

The ArgumentQuantification is not merely a strategy for describing the social and natural worlds, but a means of reconfiguring them. It entails the imposition of new meanings and the disappearance of old ones. Often it is allied to systems of experimental or administrative control, and in fact considerable feats of human organization are generally required even to create stable, reasonably standardized measures. This essay urges that the uses of quantification in science, social science, and bureaucratic social and economic policy are (...) analogous in important ways to accountancy. (shrink)

Probabilities are important in belief updating, but probabilistic reasoning does not subsume everything else (as the Bayesian would have it). On the contrary, Bayesian reasoning presupposes knowledge that cannot itself be obtained by Bayesian reasoning, making generic Bayesianism an incoherent theory of belief updating. Instead, it is indefinite probabilities that are of principal importance in belief updating. Knowledge of such indefinite probabilities is obtained by some form of statistical induction, and inferences to non-probabilistic conclusions are carried out in accordance with (...) the statistical syllogism. Such inferences have been the focus of much attention in the nonmonotonic reasoning literature, but the logical complexity of such inference has not been adequately appreciated. (shrink)

In artificial intelligence (AI), a number of criticisms were raised against the use of probability for dealing with uncertainty. All these criticisms, except what in this article we call the non-adequacy claim, have been eventually confuted. The non-adequacy claim is an exception because, unlike the other criticisms, it is exquisitely philosophical and, possibly for this reason, it was not discussed in the technical literature. A lack of clarity and understanding of this claim had a major impact on AI. Indeed, mostly (...) leaning on this claim, some scientists developed an alternative research direction and, as a result, the AI community split in two schools: a probabilistic and an alternative one. In this article, we argue that the non-adequacy claim has a strongly metaphysical character and, as such, should not be accepted as a conclusive argument against the adequacy of probability. (shrink)

Recent criticisms of traditional understandings of risk, responsibility and the division of labour between science and politics build on the idea of the co-produced character of the natural and social orders, making a case for less ambitious and more inclusive policy processes, where questions of values and goals may be addressed together with questions of facts and means, causal liabilities and principled responsibilities. Within the neo-liberal political economy, however, the contingency of the world is depicted as a source of unprecedented (...) opportunities for human craftsmanship, rather than of possibly unmanageable surprises. Gene technologies offer a vantage point for reflecting on the consequences of the drift from discovery to invention as a master frame in the appraisal of human intermingling with the world. Biotech patenting regulations carve out a sovereign agency which, by crafting nature, also crafts the distinction between the manufactured and non-manufactured world. Difficulties in ascribing responsibility stem as a consequence. It is likely that politics and economy can be democratized and responsibilities rearranged not by ‘democratizing’ knowledge production, but rather the reverse. (shrink)

Human cognition requires coping with a complex and uncertain world. This suggests that dealing with uncertainty may be the central challenge for human reasoning. In Bayesian Rationality we argue that probability theory, the calculus of uncertainty, is the right framework in which to understand everyday reasoning. We also argue that probability theory explains behavior, even on experimental tasks that have been designed to probe people's logical reasoning abilities. Most commentators agree on the centrality of uncertainty; some suggest that there is (...) a residual role for logic in understanding reasoning; and others put forward alternative formalisms for uncertain reasoning, or raise specific technical, methodological, or empirical challenges. In responding to these points, we aim to clarify the scope and limits of probability and logic in cognitive science; explore the meaning of the explanation of cognition; and re-evaluate the empirical case for Bayesian rationality. (shrink)

According to Aristotle, humans are the rational animal. The borderline between rationality and irrationality is fundamental to many aspects of human life including the law, mental health, and language interpretation. But what is it to be rational? One answer, deeply embedded in the Western intellectual tradition since ancient Greece, is that rationality concerns reasoning according to the rules of logic – the formal theory that specifies the inferential connections that hold with certainty between propositions. Piaget viewed logical reasoning as defining (...) the end-point of cognitive development; and contemporary psychology of reasoning has focussed on comparing human reasoning against logical standards. (shrink)

Susan Mills and John Beatty's propensity interpretation of fitness encountered very different philosophical criticisms by Alexander Rosenberg and Kenneth Waters. These criticisms and the rejoinders to them are both predictable and important. They are predictable as raisingkinds of issues typically associated with disposition concepts (this is established through a systematic review of the problems generated by Carnap's dispositional interpretation of all scientific terms). They are important as referring the resolution of these issues to the development of evolutionary biology. This historical (...) approach to the propensity interpretation of fitness draws attention to the precarious relation between philosophical clarification of scientific concepts and any given state of the empirical arts. (shrink)

Foucault appears to challenge traditional views of truth, reason, and knowledge in the doctrine of power/knowledge developed in his post?1970 writings. This doctrine applies to all the sciences (and to non?scientific and non?discursive practices that are not discussed here). Foucault's notions of discourse (1) and power (3) are sufficiently discussed to set out his explanatory theory of the cause of our discourses and their change. In (4) three theses concerning the power/knowledge link are distinguished, of which the more important is (...) called the ?Primacy Thesis?, namely the causal priority of power over knowledge. Various formulations of this thesis are investigated, some of which are contrasted with Francis Bacon's more plausible account of the link between power and knowledge. In (5), six criticisms of the thesis are discussed. Foucault's notion of truth is explored on the way, more particularly in (6). The outcome of the discussion is that Foucault's doctrine of power/knowledge, apart from some insights for an empirically based sociological investigation into the causes of some of our scientific beliefs, is generally false; for philosophical theories of truth and knowledge it has nothing to say. In fact if Foucault is to be a critic of the beliefs which circulate as a result of power, he needs the traditional account of truth and knowledge. (shrink)

An ecological niche framework (Hacking, 1998) is utilised to examine the growth of ADHD in North America. The analysis suggests ADHD flourishes, at least in part, due to a complex and historically situated interaction of factors that created a niche within which a particular kind of explanation and treatment for the troubling behaviours of children can and does thrive.