Infinite regress arguments are part of a philosopher's tool kit of argumentation. But how sharp or strong is this tool? How effectively is it used? The typical presentation of infinite regress arguments throughout history is so succinct and has so many gaps that it is often unclear how an infinite regress is derived, and why an infinite regress is logically problematic, and as a result, it is often difficult to evaluate infinite regress arguments. These consequences of our customary way of (...) using this tool indicate that there is a need for a theory to re-orient our practice. My general approach to contribute to such a theory, consists of collecting and evaluating as many infinite regress arguments as possible, comparing and contrasting many of the formal and non-formal properties, looking for recurring patterns, and identifying the properties that appeared essential to those patterns. Two very general questions guided this work: How are infinite regresses generated in infinite regress arguments? How do infinite regresses logically function as premises in an argument? In answering these questions I clarify the notion of an infinite regress; identify different logical forms of infinite regresses; describe different kinds of infinite regress arguments; distinguish the rhetoric from the logic in infinite regress arguments; and suggest ways of improving our discussion and our practice of constructing and evaluating these arguments. (shrink)

Is structure a fundamental and indispensable part of the world? Is the question of ontology a question about structure? Structure is a central notion in contemporary metaphysics [Sider 2011. Writing the Book of the World. Oxford: Clarendon Press]. Realism about structure claims that the question of ontology is about the fundamental and indispensable structure of the world. In this paper, I present a criticism of the metaphysics of realism about structure based on a version of Russell’s famous regress argument against (...) nominalism [Russell 1911. “On the Relation of Universals and Particular.” In Logic & Knowledge. Reprint, London: George Allen & Unwin]. First, I argue that the three general tests for the fundamentality of structure proposed by realism about structure rely on a particular empirical test for structure, namely, the so-called ‘similarity test for structure.’ Second, I argue that the similarity test is not well-founded because it leads to a vicious regress. Third, I argue that the regress affects the whole metaphysics of realism about structure, and that no structural notion can be said to be fundamental in connection with any of the other tests. Lastly, I argue that the question of ontology as a question about structure is not substantive. (shrink)

This book on infinite regress arguments provides (i) an up-to-date overview of the literature on the topic, (ii) ready-to-use insights for all domains of philosophy, and (iii) two case studies to illustrate these insights in some detail. Infinite regress arguments play an important role in all domains of philosophy. There are infinite regresses of reasons, obligations, rules, and disputes, and all are supposed to have their own moral. Yet most of them are involved in controversy. Hence the question is: what (...) exactly is an infinite regress argument, and when is such an argument a good one? (shrink)

Influenced by the Wittgensteinian slogan “Don’t look for the meaning, look for the use,” ordinary language philosophers aimed to defuse various philosophical problems by analyzing key words in terms of what they are used to do or the conditions for appropriately using them. Although Moore, Grice and Searle exposed this error – mixing pragmatics with semantics – it still gets committed, now to a different end. Nowadays the aim is to reckon with the fact that the meanings of a great (...) many sentences underdetermine what we would normally mean in using them – even if the sentence is free of indexicality, ambiguity, and vagueness. This can be so because the sentence expresses a “minimal” proposition or even because it doesn’t fully express any proposition. Many theorists are led to defend “truth-conditional pragmatics” (or linguistic “contextualism”), to find a hidden indexical in every syntactic nook or semantic cranny, or otherwise to pay undue respect to seemingly semantic intuitions and intentions. This paper identifies various such moves and explains what’s regressive about them. (shrink)

The paper aims to elucidate in better detail than before the dispute about whether or not dispositional monism—the view that all basic properties are pure powers—entails a vicious infinite regress. Particular focus is on Alexander Bird's and George Molnar's attempts to show that the arguments professing to demonstrate a vicious regress are inconclusive because they presuppose what they aim to prove, notably that powers are for their nature dependent on something else. I argue that Bird and Molnar are mistaken. It (...) is true that dispositional monism is popularly assumed to characterize powers as dependent entities, but this is not what the arguments aim to prove. They merely aim to demonstrate that it would be absurd to assume that all properties are dependent in this way. Finally, it is argued that there is an unresolved tension in Bird's and Molnar's accounts of powers. They characterize them as being for their nature dependent on the manifestations that they are for, and yet ontologically independent of those same manifestations. Until that tension is resolved, their accounts are not equipped to remove the threat of vicious regress. (shrink)

This article looks at Galton's regression to the mean from several traditionally unrelated but interwoven venues: as a law of trait heredity; as a statistical artifact infiltrating careless research designs; as an illustration of cognitive bias. Hereditarians argue for the first of these, disputed by biogeneticists, who view R to M as a mere correlate of generational traits decline. Research designers busy themselves with the second perspective, but to explain the concept, cavalierly adduce various organismic states that sum as (...) "error variance" Research on subjective probability finds R to M in unexpected places. Across these contexts, the weight of argument falls on R to M's confounding rather than causal role in vexing data analysis. 2012 APA, all rights reserved). (shrink)

Infinite regress arguments play an important role in many distinct philosophical debates. Yet, exactly how they are to be used to demonstrate anything is a matter of serious controversy. In this paper I take up this metaphilosophical debate, and demonstrate how infinite regress arguments can be used for two different purposes: either they can refute a universally quantified proposition (as the Paradox Theory says), or they can demonstrate that a solution never solves a given problem (as the Failure Theory says). (...) In the meantime, I show that Black’s view on infinite regress arguments (1996, this journal) is incomplete, and how his criticism of Passmore can be countered. (shrink)

The epistemic regress problem is about the possibility of having beliefs that are based on evidence. The problem of the criterion is about the possibility of having beliefs that are based on general standards for distinguishing what is true from what is false. These problems are similar. Each is constituted by a set of propositions about epistemically valuable relational properties—being supported by evidence and being authorized by a criterion of truth—that are individually plausible but jointly inconsistent, a paradox. The propositions (...) that constitute one problem have the same forms as the propositions that constitute the other. In particular, each problem turns on the claim that a belief can have a valuable relational property only by means of an endless regress and that this requirement cannot be satisfied. Finally, since evidence and criteria are kinds of reasons, each problem is about the possibility of having beliefs that are based on reasons. (shrink)

In this paper we present a collection of results related to the comparability of summands property of regressive isols. We show that if an infinite regressive isol has comparability of summands, then every predecessor of the isol has a weak comparability of summands property. Recently R. Downey proved that there exist regressive isols that are both hyper-torre and cosimple. There is a surprisingly close connection between non-recursive recursively enumerable sets and particular retraceable sets and regressive isols. We apply the theorem (...) of Downey to show that among the regressive isols that are related to recursively enumerable sets there are some with a new property. (shrink)

This paper considers the possibility of prediction in land use planning, and the use of statistical research methods in analyses of relationships between urban form and travel behaviour. Influential writers within the tradition of critical realism reject the possibility of predicting social phenomena. This position is fundamentally problematic to public planning. Without at least some ability to predict the likely consequences of different proposals, the justification for public sector intervention into market mechanisms will be frail. Statistical methods like regression (...) analyses are commonly seen as necessary in order to identify aggregate-level effects of policy measures, but are questioned by many advocates of critical realist ontology. Using research into the relationship between urban structure and travel as an example, the paper discusses relevant research methods and the kinds of prediction necessary and possible in spatial planning of urban development. Finally, the political implications of positions within theory of science rejecting the possibility of predictions about social phenomena are addressed. (shrink)

In this work we propose an encoding of Reiter’s Situation Calculus solution to the frame problem into the framework of a simple multimodal logic of actions. In particular we present the modal counterpart of the regression technique. This gives us a theorem proving method for a relevant fragment of our modal logic.

On Malcolm Schofield’s highly influential reading of the Similarity Regress in Part I of the Parmenides, the problem that the Regress poses is explanatory. Socrates posited the Similarity Form in order to explain why similar things are similar: similar things are similar because they participate in the Form Similarity as copies of the same original. Yet, the Similarity Regress generates an infinite series of Similarity Forms such that explanation is deferred ad infinitum. Schofield provides a philosophical incentive for adopting his (...) reading. He argues that the treatment of similarity in Part II of the dialogue yields a complete explanation of similarity. If we adopt this account, we can avoid the Similarity Regress altogether since a Form of Similarity is not needed in order to explain why similar things are similar. Thus, his interpretation has a hugely important philosophical pay-off. However, there is a different way to read the argument. Socrates claims that each Form is only one. Yet, the Similarity Regress is an argument that generates an infinite series of Similarity Forms. This results in a violation of the principle of non-contradiction: there is both only one Similarity Form and infinitely many Similarity Forms. Yet, anything that is incompatible with the principle of non-contradiction is surely absurd. Nobody, as far as I am aware, has explored whether this reading also has philosophical pay-off if we look at it together with similarity in Part II. However, should this interpretation pay off, it would be a viable alternative to Schofield’s. In this paper, I explore both views in the context of the treatment of similarity in Part II of the Parmenides. I argue for an account of similarity that differs from Schofield’s. Although my account is not wholly dismissive of Schofield’s, it renders the pay-off of Schofield’s account less appealing than he suggests. Furthermore, I show that the account of similarity in Part II also yields important lessons for the proponent of the alternative reading of the Similarity Regress: similarity as treated in Part II simply leads to further infinite regresses, thereby pushing us to consider rejecting the account of similarity in Part II too and to look for some other account intead. (shrink)

The phenomenon of regression toward the mean is notoriously liable to be overlooked or misunderstood; regression fallacies are easy to commit. But even when regression phenomena are duly recognized, it remains perplexing how they can feature in explanations. This article develops a philosophical account of regression explanations as “statistically autonomous” explanations that cannot be deepened by adducing details about causal histories, even if the explananda as such are embedded in the causal structure of the world. That (...) regression explanations have statistical autonomy was first suggested by Ian Hacking and has recently been defended and elaborated by André Ariew, Yasha Rohwer, and Collin Rice. However, I will argue that these analyses fail to capture what regression’s statistical autonomy consists in and how it sets regression explanations apart from other kinds of explanation. The alternative account I develop also shows what is amiss with a recent denial of regression’s statistical autonomy. Marc Lange has argued that facts that can be explained as regression phenomena can in principle also be explained by citing a conjunction of causal histories. The account of regression explanation developed here shows that his argument is based on a misunderstanding of the nature of statistical autonomy. (shrink)

Dispositional monism is the view that natural properties and relations are ‘pure powers’. It is objected that dispositional monism involves some kind of vicious or otherwise unpalatable regress or circularity. I examine ways of making this objection precise. The most pressing interpretation is that is fails to make the identities of powers determinate. I demonstrate that this objection is in error. It does however puts certain constraints on what the structure of fundamental properties is like. I show what a satisfactory (...) structure would be. (shrink)

Saul Kripke recently has published an interpretation of the later Wittgenstein's rule-following problem as a "sceptical paradox," the conclusion of which is that language is impossible. In this dissertation, I document the history of the rule-following problem in Wittgenstein's writings, thereby providing a historical perspective not provided by Kripke. In chapters I and II, I develop a broadly Kantian interpretation of the epistemology of the Tractatus. My interpretation conflicts both with interpretations according to which the Tractatus implicitly embodies an empiricist (...) epistemology or no epistemology at all and with idealist readings. In chapter III, I extend the comparison between Wittgenstein and Kant, arguing that there is an important sense in which the notion of thought is fundamental in the Tractatus. My interpretation conflicts with interpretations according to which the Tractarian theory of meaning requires a mental act of "dubbing" which correlates signs and objects as well as with interpretations according to which nothing mental is presupposed. On one hand, chapters I-III can be read independently of chapters IV and V as an interpretation of some aspects of the Tractatus. On the other hand, these chapters lay the groundwork for my argument in chapter IV that the rule-following problem in the Philosophical Investigations is a general and forceful restatement of the problem of an infinite regress of interpretations to which the Tractarian theory of meaning was supposed to provide a solution. For various reasons, which I recount, Wittgenstein became dissatisfied with his early answer, and the problem reappears in his later work. Finally, in chapter V, I present and evaluate Kripke's interpretation of the rule-following problem from the historical perspective developed in the preceding chapters. I suggest that Kripke fails to see that it is a carry-over of a problem with which Wittgenstein wrestled in the Tractatus. In addition, although he recognizes that the later Wittgenstein believes that no fact or process could account for our ability to represent the world, he does not show clearly why Wittgenstein believes that this is so. (shrink)

Paul Thagard’s theory of deductive coherence, as set out in his Coherence in Thought and Action, faces a regress objection. Thagard’s method of solving deductive coherence problems presupposes some notion of logical consequence. The problem of specifying which logic to use to this end is itself a deductive coherence problem, so we would expect Thagard’s theory to be able to solve it. However, on pain of regress, the theory of deductive coherence cannot reach such a solution.

Is the content of our thoughts determined by norms such as ‘if I know that p, then I ought to believe that p’? Glüer & Wikforss (2009a) set forth a regress argument for a negative answer. The aim of this paper is to clarify and evaluate this argument. In the first part I show how it (just like an argument from Wittgenstein 1953) can be taken as an instance of an argument schema. In the second part, I evaluate the relevant (...) premises in some detail, and argue that the dialectical situation is slightly more complicated than a ‘dilemma of regress and idleness’, as Glüer & Wikforss have dubbed it. (shrink)

According to a reflexive theory of consciousness, a person is in a conscious state only if they are conscious of, or aware of, being in the state. This paper reconsiders the well-known regress objection against theories of this sort, according to which they entail that if you are in one conscious state, you are in an infinity of such states. I distinguish two versions of the reflexive theory, a cognitive version and a phenomenal version, and argue that, while the cognitive (...) version of the reflexive theory may evade the regress objection, this is not the case for the phenomenal version. (shrink)

This paper uses a schema for infinite regress arguments to provide a solution to the problem of the infinite regress of justification. The solution turns on the falsity of two claims: that a belief is justified only if some belief is a reason for it, and that the reason relation is transitive.

Some philosophers believe that entities have essences. What are we to make of the view that essences are themselves entities? E.J. Lowe has put forward an infinite regress argument against it. In this paper I challenge that argument. First, drawing on work by J.W. Wieland, I give a general condition for the obtaining of a vicious infinite regress. I then argue that in Lowe’s case the condition is not met. In making my case, I mainly (but not exclusively) consider definitionalist (...) accounts of essence. I make a re￾quirement to which definitionalists such as Lowe are committed and which, I venture, should also be palatable to non-naïve modalists. I call it the Relevance Principle. The defence trades on it, as well as on the distinction, due to K. Fine, between mediate and immediate essence. (shrink)

How should you decide what to do when you’re uncertain about basic normative principles? A natural suggestion is to follow some "second-order:" norm: e.g., obey the most probable norm or maximize expected choiceworthiness. But what if you’re uncertain about second-order norms too—must you then invoke some third-order norm? If so, any norm-guided response to normative uncertainty appears doomed to a vicious regress. This paper aims to rescue second-order norms from the threat of regress. I first elaborate and defend the claim (...) some philosophers have made that the regress problem forces us to accept normative externalism, the view that at least one norm is incumbent on all agents regardless of their normative beliefs. But, I then argue, we need not accept externalism about first-order norms, thus closing off any question of how agents should respond to normative uncertainty. Rather, we can head off the threat of regress by ascribing external force to a single second-order norm: the enkratic principle. (shrink)

Plausibly, no agent ever performs an action without some desire to perform that action. If so, a regress argument shows that, given incompatibilism, we are only rarely free. The argument sidesteps recent objections to this thesis.

That a philosophical thesis entails a vicious regress is commonly taken to be decisive evidence that the thesis is false. In this paper, I argue that the existence of a vicious regress is insufficient to reject a proposed analysis provided that certain constraints on the analysis are met. When a vicious regress is present, some further consequence of the thesis must be established that, together with the presence of the vicious regress, shows the thesis to be false. The argument is (...) provided largely through the examination of Michael Bergmann's vicious regress argument against strong awareness internalism and a partial defense of that thesis against Bergmann. (shrink)

Wolff’s relation to Leibniz and Kant’s relation to both are notoriously vexed questions. First, this paper argues that Wolff’s most serious departure from Leibniz consists in his (so far overlooked) rejection of the latter’s infinitism. Second, it contends that the controversies that surrounded Wolff’s early acceptance of infinite causal regress and prompted his conversion to finitism played a prominent role in shaping the theses of Kant’s Antinomies. Whereas Leibniz and the early Wolff considered infinite regress to provide support for the (...) contingency of the world and the existence of God, Wolff’s enemies condemned it as Spinozistic. After Wolff, the claim that an infinite chain of causes is impossible became the standard view among both Wolffian and anti-Wolffian metaphysicians. (shrink)

In a regressive tax system, lower-income taxpayers pay larger percentages of their incomes in taxes compared to higher-income taxpayers. Although most policymakers and citizens view regressive taxation as generally unfair and unethical, the U.S. tax system taxes wage, salary, and self-employment income in a manner that deliberately subjects lower-income taxpayers to marginal tax rates that are greater than those imposed on higher-income taxpayers. As a result, some lower-income taxpayers pay a larger percentage of their income in taxes than higher-income taxpayers. (...) In this essay, we argue that this regressiveness in the taxation of salaried income is unfair and unethical. We then evaluate President Obama’s social security plan, which would retain most of the current tax system’s regressive structure. Finally, we offer two simple alternative proposals that are non-regressive, and thus more fair and ethical approaches to the taxation of salaried income. (shrink)

Existing solutions to the epistemic regress problem, and the theories of justification built upon them, are inadequate, for they fail to diagnose the root source of the problem. The problem is rooted in our attachment to a pernicious dogma of modern epistemology: the idea that a judgement must be supported by some kind of reason or evidence to be justified. The epistemic analogue of the doctrine of original sin, this idea renders every judgement in need of redemption – guilty until (...) shown to be innocent – distorting our understanding of reason at a very deep level, and preventing us from conceptualizing a satisfactory solution to the problem. If we opt for a more context–sensitive mechanism for assigning default epistemic status, however, we get a more plausible picture of justification, an epistemology more in tune with epistemic practice, and an elegant solution to the regress problem. (shrink)

Recent work by Peijnenburg, Atkinson, and Herzberg suggests that infinitists who accept a probabilistic construal of justification can overcome significant challenges to their position by attending to mathematical treatments of infinite probabilistic regresses. In this essay, it is argued that care must be taken when assessing the significance of these formal results. Though valuable lessons can be drawn from these mathematical exercises (many of which are not disputed here), the essay argues that it is entirely unclear that the form of (...) infinitism that results meets a basic requirement: namely, providing an account of infinite chains of propositions qua reasons made available to agents. (shrink)

La régression est un concept connoté de façon souvent négative et elle est souvent uniquement perçue dans sa valeur descriptive et phénoménologique. Dans cet article sur la thérapie de couple, l’auteur distingue les états régressés, sur lesquels s’ancre en partie la constitution du couple, et le processus régressif, qui a lieu au cours de la thérapie. Le thérapeute de couple doit être sensible à ce processus tant dans la compréhension qu’il aura des étapes de la thérapie que dans sa propre (...) position psychique interne. (shrink)

The best extant statement of the epistemic regress problem makes assumptions that are too strong. An improved version assumes only that that reasons require support, that no proposition is supported only by endless regresses of reasons, and that some proposition is supported. These assumptions are individually plausible but jointly inconsistent. Attempts to explain support by means of unconceptualized sensations, contextually immunized propositions, endless regresses, and holistic coherence all require either additional reasons or an external condition on support that is arbitrary (...) from the believer's own point of view. (shrink)

In this paper I argue that the infinite regress of resemblance is vicious in the guise it is given by Russell but that it is virtuous if generated in a (contemporary) trope theoretical framework. To explain why this is so I investigate the infinite regress argument. I find that there is but one interesting and substantial way in which the distinction between vicious and virtuous regresses can be understood: The Dependence Understanding. I argue, furthermore, that to be able to decide (...) whether an infinite regress exhibits a dependence pattern of a vicious or a virtuous kind, facts about the theoretical context in which it is generated become essential. It is precisely because of differences in context that he Russellian resemblance regress is vicious whereas its trope theoretical counterpart is not. (shrink)

Many studies confirm the fact that women do not have sufficient knowledge about reproductive health, which is a significant problem nowadays due to the large percentage of people who suffer from infertility. A sources of knowledge from which information about health, including reproductive health, is obtained have various levels of reliability. The aim of the study was to use regression trees to find which of the analysed parameters had the greatest impact on the level of respondents’ knowledge about fertility (...) and the impact of diet on fertility. The study was conducted among women who practice dance in Max Dance studio in Białystok. The group consisted of 42 women with an average age of 26.3 years, dancing in various dance styles at various levels of proficiency. A questionnaire on lifestyle and a sources of information on fertility was used; the questionnaire also contained a knowledge test focused on reproductive health and the impact of diet on fertility, in which the questions were based on information from the latest research. Three regression trees were created for three indicators determining the level of respondents’ knowledge. The obtained results revealed certain areas that have a significant impact on the level of knowledge about reproductive health, which may require additional education. The use of the regression trees method made it possible to determine the relationships between the analysed data that were not fully visible after standard biostatistical analyses had been performed. The created trees can be useful in improving the process of disseminating knowledge about reproductive health among women of childbearing age. (shrink)

If an argument can be reconstructed in at least two different ways, then which reconstruction is to be preferred? In this paper I address this problem of argument reconstruction in terms of Ryle’s infinite regress argument against the view that knowledge-how requires knowledge-that. First, I demonstrate that Ryle’s initial statement of the argument does not fix its reconstruction as it admits two, structurally different reconstructions. On the basis of this case and infinite regress arguments generally, I defend a revisionary take (...) on argument reconstruction: argument reconstruction is mainly to be ruled by charity (viz. by general criteria which arguments have to fulfil in order to be good arguments) rather than interpretation. (shrink)

The problem, or cluster of problems, of the unity of the proposition, along with the cluster of problems that tend to go under the name of Bradley’s regress, has recently again become a going concern for philosophers, after having for some time been regarded as primarily of historical interest. In this paper, I distinguish between the different problems that tend to be brought up under the heading of the unity of the proposition, and between different related regress arguments. I present (...) my favored solutions to these problems. (shrink)

This paper revisits the debate between Harry Collins and Allan Franklin, concerning the experimenters’ regress. Focusing my attention on a case study from recent psychology (regarding experimental evidence for the existence of a Mozart Effect), I argue that Franklin is right to highlight the role of epistemological strategies in scientific practice, but that his account does not sufficiently appreciate Collins’s point about the importance of tacit knowledge in experimental practice. In turn, Collins rightly highlights the epistemic uncertainty (and skepticism) surrounding (...) much experimental research. However, I will argue that his analysis of tacit knowledge fails to elucidate the reasons why scientists often are (and should be) skeptical of other researchers’ experimental results. I will present an analysis of tacit knowledge in experimental research that not only answers to this desideratum, but also shows how such skepticism can in fact be a vital enabling factor for the dynamic processes of experimental knowledge generation. (shrink)

ZUSAMMENFASSUNG: Der Autor versucht das regressive Erleben vieler Patienten und Analytiker, die zu Beginn der Sitzung in unbewusste Prozesse eintauchen und zum Ende wieder auftauchen, mit dem Konzept der Mikroregression zu erfassen. Im Kontrast zu destruktiven Regressionsprozessen arbeitet er ihre Eigenart als integrative Regression heraus, als Funktionsmodus, der im Dienst des Ichs und der Therapie steht. Dabei verbindet er die Eigenart der formalen Regression und des Träumens aus der Freud’schen Psychoanalyse mit der Haltung des »dreaming« aus der Bion-Tradition. (...) Mikroregressionen drücken sich in Primärprozess-Denken aus, in sinnlichen Bildern, intensiven Emotionen, Inszenierungen und Körpererleben. Sie fördern den Auftrieb des Unbewussten und bewirken folgende Effekte: 1. Der Kontakt zu verdrängten und traumatischen Erinnerungsspuren wird erleichtert. 2. Nonverbale Erfahrungen inszenieren sich im intersubjektiven Feld und regen die emotionale Verarbeitungsfunktion des Analytikers an. 3. Symbolisierungsprozesse werden angestoßen und führen zu Gestaltungen eines analytischen Dritten. Ein klinisches Beispiel dient der Veranschaulichung dieser Vorgänge. (shrink)

Reichle et al. argue that the mechanism that determines where to fixate the eyes is controlled mostly by low-level processes. Therefore, unlike other competing models (e.g., the SWIFT model), the E-Z Reader model cannot account for “global” regressions as a result of linguistic difficulties. We argue that the model needs to be extended to account for regressive saccades.

Van Fraassen's Judy Benjamin problem asks how one ought to update one's credence in A upon receiving evidence of the sort ``A may or may not obtain, but B is k times likelier than C'', where {A,B,C} is a partition. Van Fraassen's solution, in the limiting case of increasing k, recommends a posterior converging to the probability of A conditional on A union B, where P is one's prior probability function. Grove and Halpern, and more recently Douven and Romeijn, have (...) argued that one ought to leave credence in A unchanged, i.e. fixed at P(A). We argue that while the former approach is superior, it brings about a Reflection violation due in part to neglect of a ``regression to the mean'' phenomenon, whereby when C is eliminated by random evidence that leaves A and B alive, the ratio P(A):P(B) ought to drift in the direction of 1:1. (shrink)

Pandispositionalists have not refuted the charge that their ideology precludes knowledge of the external world. Their replies boil down to the claim that some dispositions can be detected without the mediation of their effects. But this reply is ineffective if the regress is restated in terms of mind-independent domains of science.

Different interpretations of Bradley’s regress argument are considered. On the basis of textual evidences, it is argued that the most persuasive is the one that sees the argument as primarily addressing the general issue of unity or connectedness.

The Language of Thought Hypothesis is often taken to have the fatal flaw that it generates an explanatory regress. The language of thought is invoked to explain certain features of natural language (e.g., that it is learned, understood, and is meaningful), but, according to the regress argument, the language of thought itself has these same features and hence no explanatory progress has been made. We argue that such arguments rely on the tacit assumption that the entire motivation for the language (...) of thought consists in explaining the explanandum that allegedly generates the regress. But this tacit assumption is simply false. The Language of Thought Hypothesis is a cogent view and one with considerable explanatory advantages. (shrink)

Regress arguments have convinced many that reasoning cannot require beliefs about what follows from what. In this paper I argue that this is a mistake. Regress arguments rest on dubious (although deeply entrenched) assumptions about the nature of reasoning — most prominently, the assumption that believing p by reasoning is simply a matter of having a belief in p with the right causal ancestry. I propose an alternative account, according to which beliefs about what follows from what play a constitutive (...) role in reasoning. (shrink)

This paper presents a uniform general account of regress problems in the form of a pentalemma—i.e., a set of five mutually inconsistent claims. Specific regress problems can be analyzed as instances of such a general schema, and this Regress Pentalemma Schema can be employed to generate deductively valid arguments from the truth of a subset of four claims to the falsity of the fifth. Thus, a uniform account of the nature of regress problems allows for an improved understanding of specific (...) regress objections or arguments, and, correspondingly, of the general logical geography of the debate about infinite regresses. This uniform approach is illustrated by a treatment of the classical epistemological problem of justification, but it encompasses a whole variety of cases including explanation and ontological grounding. Furthermore, this general account is compared and contrasted with the existing literature discussing argument schemata for regress objections, particularly with the work of Jan Willem Wieland. It is shown how such other schemata can be incorporated and superseded by the general Regress Pentalemma Schema. (shrink)

Statistical reasoning is an integral part of modern scientific practice. In The Seven Pillars of Statistical Wisdom Stephen Stigler presents seven core ideas, or pillars, of statistical thinking and the historical developments of each of these pillars, many of which were concurrent with developments in biology. Here we focus on Stigler’s fifth pillar, regression, and his discussion of how regression to the mean came to be thought of as a solution to a challenge for the theory of natural (...) selection. Stigler argues that the purely mathematical phenomenon of regression to the mean provides a resolution to a problem for Darwin’s evolutionary theory. Thus, he argues that the resolution to the problem for Darwin’s theory is purely mathematical, rather than causal. We show why this argument is problematic. (shrink)