I will assume here the defenses of epistemic infinitism are adequate and inquire as to the variety standpoints within the view. I will argue that infinitism has three varieties depending on the strength of demandingness of the infinitist requirement and the purity of its conception of epistemic justification, each of which I will term strong pure, strong impure, and weak impure infinitisms. Further, I will argue that impure infinitisms have the dialectical advantage.

Infinitism in Epistemology. This article provides an overview of infinitism in epistemology. Infinitism is a family of views in epistemology about the structure of knowledge and epistemic justification. It contrasts naturally with coherentism and foundationalism. All three views agree that knowledge or justification requires an appropriately structured chain of reasons. What form may such a […].

Infinitism is an ancient view in epistemology about the structure of knowledge and epistemic justification, according to which there are no foundational reasons for belief. The view has never been popular, and is often associated with skepticism, but after languishing for centuries it has recently begun a resurgence. Ad Infinitum presents new work on the topic by leading epistemologists. They shed new light on infinitism's distinctive strengths and weaknesses, and address questions, new and old, about its account (...) of justification, reasoning, epistemic responsibility, disagreement, and trust, among other important issues. The volume clarifies the relationship between infinitism and other epistemological views, such as skepticism, coherentism, foundationalism and contextualism, and it offers novel perspectives on the metaphysics, epistemology, and ethics of regresses and reasons. (shrink)

Any satisfactory epistemology must account for the distinction between propositional and doxastic justification. Can infinitism account for it? Proposals to date have been unsatisfactory. This paper advances a new infinitist account of the distinction. The discussion proceeds as follows. Section 1 sets the stage. Section 2 presents Peter Klein's account. Section 3 raises a problem for Klein's account and suggests an improvement. Section 4 raises a further challenge. Sections 5 to 7 consider several unsuccessful attempts to meet the (...) challenge. Section 8 presents my new proposal, which can meet the challenge. Section 9 concludes the discussion. (shrink)

This volume presents new work on infinitism, the view that there are no foundational reasons for beliefs--an ancient view in epistemology, now growing again in popularity. Leading epistemologists illuminate its strengths and weaknesses, and address questions new and old about justification, reasoning, responsibility, disagreement, and trust.

The article discusses infinitism, the view that a belief is justified for a subject only if she possesses an infinite chain of available reasons for that belief. In its most recent and sophisticated version, the view allegedly escapes the problems that trouble its main competitors, foundationalism and coherentism, while avoiding the traditional objections which relegated it to a marginal place. The article argues that despite these improvements, sophisticated versions of infinitism face a pressing problem, viz. they are unable (...) to appropriately articulate propositional and doxastic justification. (shrink)

Infinitism is often presented as a rival to foundationalism and coherentism as available answers to the epistemic regress problem. The most prominent contemporary defense of infinitism, due to Peter Klein, rests on the notion that an agent can perpetually amplify the justification for her belief insofar as they are able to iteratively answer an interlocutor’s questions why the proffered grounds for their belief should count as providing justification for that belief. We show that this argument does not offer (...) any basis for preferring infinitism over foundationalism and coherentism, because those views are able to accommodate the insight that justification for a belief can be continually amplified. Klein’s argument for infinitism thus falls short of its aspirations of proving that infinitism qua rival of foundationalism and coherentism is the most credible solution to the epistemic regress problem. (shrink)

Foundationalist, Coherentist, Skeptic etc., have all been united in one respect--all accept epistemic justification cannot result from an unending, and non-repeating, chain of reasons. Peter Klein has recently challenged this minimal consensus with a defense of what he calls "Infinitism"--the position that justification can result from such a regress. Klein provides surprisingly convincing responses to most of the common objections to Infinitism, but I will argue that he fails to address a venerable metaphysical concern about a certain type (...) of regress. My conclusion will be that until Klein answers these metaphysical worries he will not have restored Infinitism as a viable option in epistemology. (shrink)

This paper formally explores the common ground between mild versions of epistemological coherentism and infinitism; it proposes—and argues for—a hybrid, coherentist–infinitist account of epistemic justification. First, the epistemological regress argument and its relation to the classical taxonomy regarding epistemic justification—of foundationalism, infinitism and coherentism—is reviewed. We then recall recent results proving that an influential argument against infinite regresses of justification, which alleges their incoherence on account of probabilistic inconsistency, cannot be maintained. Furthermore, we prove that the Principle of (...) Inferential Justification has rather unwelcome consequences—formally resembling the Sorites paradox—as soon as it is iterated and combined with a natural Bayesian perspective on probabilistic inferences. We conclude that strong versions of foundationalism and infinitism should be abandoned. Positively, we provide a rough sketch for a graded formal coherence notion, according to which infinite regresses of epistemic justification will often have more than a minimal degree of coherence. (shrink)

Foundationalist, Coherentist. Skeptic etc., have all been united in one respect—all accept epistemic justification cannot result from an unending, and non‐repeating. chain of reasons. Peter Klein has recently challenged this minimal consensus with a defense of what he calls “Intinitism”—the position that justification can result from such a regress. Klein provides surprisingly convincing responses to most of the common objections to Infinitism, but I will argue that he fails to address a venerable metaphysical concern about a certain type of (...) regress. My conclusion will be that until Klein answers these metaphysical worries he will not have restored Infinitism as a viable option in epistemology. (shrink)

Any satisfactory epistemology must account for the distinction between propositional and doxastic justification. Can infinitism account for it? Proposals to date have been unsatisfactory. This paper advances a new infinitist account of the distinction. The discussion proceeds as follows. Section 1 sets the stage. Section 2 presents Peter Klein's account. Section 3 raises a problem for Klein's account and suggests an improvement. Section 4 raises a further challenge. Sections 5 to 7 consider several unsuccessful attempts to meet the (...) challenge. Section 8 presents my new proposal, which can meet the challenge. Section 9 concludes the discussion. (shrink)

The purpose of this essay is to show that the version of epistemological infinitism defended by Peter Klein is externalistic in character. I present the most important questions infinitism is supposed to resolve and also present the fundamental difference regarding internalism and externalism in epistemology. I conclude with an indication of what would be the best way to understand infinitism and how to evade the problems that emerge from Klein’s externalist infinitism.

Infinitists argue that their view outshines foundationalism because infinitism can, whereas foundationalism cannot, explain two of epistemic justification’s crucial features: it comes in degrees and it can be complete. I present four different ways that foundationalists could make sense of those two features of justification, thereby undermining the case for infinitism.

This note employs the recently established consistency theorem for infinite regresses of probabilistic justification (Herzberg in Stud Log 94(3):331–345, 2010) to address some of the better-known objections to epistemological infinitism. In addition, another proof for that consistency theorem is given; the new derivation no longer employs nonstandard analysis, but utilises the Daniell–Kolmogorov theorem.

One way to solve the epistemic regress problem would be to show that we can acquire justification by means of an infinite regress. This is infinitism. This view has not been popular, but Peter Klein has developed a sophisticated version of infinitism according to which all justified beliefs depend upon an infinite regress of reasons. Klein's argument for infinitism is unpersuasive, but he successfully responds to the most compelling extant objections to the view. A key component of (...) his position is his claim that an infinite regress is necessary, but not sufficient, for justified belief. This enables infinitism to avoid a number of otherwise compelling objections. However, it commits infinitism to the existence of an additional feature of reasons that is necessary and, together with the regress condition, sufficient for justified belief. The trouble with infinitism is that any such condition could account for the connection between justification and truth only by undermining the rationale for the regress condition itself. (shrink)

This is a review of Turri and Klein's "Ad Infinitum: New Essays on Epistemological Infinitism".

Abstract Epistemic infinitism is certainly not a majority view in contemporary epistemology. While there are some examples of infinitism in the history of philosophy, more work needs to be done mining this history in order to provide a richer understanding of how infinitism might be formulated internal to different philosophical frameworks. Accordingly, we argue that the philosophy of Emmanuel Levinas can be read as operating according to an ?impure? model of epistemic infinitism. The infinite obligation (...) inaugurated by the ?face to face encounter? with the Other yields an approach to the ethics of belief that accords with infinitism. This reading of Levinas brings his ethical thought into dialogue with contemporary epistemology as well as provides an historical example of infinitism within the current debates. (shrink)

As the Pyrrhonians made clear, reasons that adequately justify beliefs can have only three possible structures: foundationalism, coherentism, and infinitism. Infinitism—the view that adequate reasons for our beliefs are infinite and non-repeating—has never been developed carefully, much less advocated. In this paper, I will argue that only infinitism can satisfy two intuitively plausible constraints on good reasoning: the avoidance of circular reasoning and the avoidance of arbitrariness. Further, I will argue that infinitism requires serious, but salutary, (...) revisions in our evaluation of the power of reasoning. Thus, reasoning can not provide a basis for assenting to a proposition—where to assent to a proposition, p, means to believe that we know that p. A non-dogmatic form of provisional justification will be sketched. Finally, the best objections to infinitism, including those posed by the Pyrrhonians, will be shown (at least provisionally!) to be inadequate. (shrink)

In the last decade, the familiar problem of the regress of reasons has returned to prominent consideration in epistemology. And with the return of the problem, evaluation of the options available for its solution is begun anew. Reason’s regress problem, roughly put, is that if one has good reasons to believe something, one must have good reason to hold those reasons are good. And for those reasons, one must have further reasons to hold they are good, and so a (...) regress of reasons looms. In this new study, Aikin presents a full case for infinitism as a response to the problem of the regress of reasons. Infinitism is the view that one must have a non-terminating chain of reasons in order to be justified. The most defensible form of infinitism, he argues, is that of a mixed theory – that is, epistemic infinitism must be consistent with and integrate other solutions to the regress problem. (shrink)

O problema do critério é um dos mais importantes da epistemologia. A resposta que se dá a ele definirá um aspecto fundamental das teorias do conhecimento. Neste ensaio, o problema do critério é apresentado e algumas das conseqüências geradas pela aceitação de exigências metaepistemicas são analisadas. Em especial, essas conseqüências são avaliadas em relação ao infinitismo – a teoria epistemológica segundo a qual as razões que sustentam nossas crenças devem ser infinitas em número e não-repetidas. Ao final, sustenta-se que cláusulas (...) que exigem que a metajustificação seja necessária para o conhecimento não apenas tornam as teorias epistemológicas mais plausíveis, mas também que a ausência de tais exigências acaba criando problemas muito difíceis, como o assim chamado “problema do conhecimento fácil”. PALAVRAS-CHAVE – Infinitismo. Problema do critério. Metajustificação. Conhecimento. Metaconhecimento. Ceticismo. ABSTRACT This essay discusses the Problem of the Criterion, one of the most important problems in Epistemology. The answer given to this problem will shape a fundamental aspect of theories of knowledge. It also analyzes some of the consequences epistemological theories may face in accepting metaepistemological requirements. These consequences are given special consideration with regard to Infinitism, the epistemological theory according to which the reasons that support our beliefs must be infinite and non-repeating. Finally, this essay claims not only that those propositions that require metajustification make any theory, even Infinitism, more plausible, but also that the absence of such requirements creates difficult problems, such as the so-called “Problem of Easy Knowledge.” KEY WORDS – Infinitism. Problem of the Criterion. Metajustification. Knowledge. Metaknowledge. Skepticism. (shrink)

内容提要：本文综合评述当代认识论的现状以及主干近10 年来主要发展趋势和最新理论贡献。它首先介绍一些必要的理论背景：盖梯尔难题，闭合原则，内在论与外在论之争(第2节)，然后分6 节集中讨论、评述：(i) 温和基础主义的兴起及发展(第3 节) ； (ii) 对认知怀疑论的最新表述及回应(第4 节) ； (iii) 认知无限辨明论(第5 节) ；(iv) 认知语境主义的兴起，其理论贡献，以及存在的问题；(v) 德性认识论的二个模型，它们的优点,和现有的问题。最后简单讨论当代认识论面临的危机与机遇。 -/- Abstract: This article surveys the current state of affairs and some important new developments of epistemology in the past 10 years. It first introduces some necessary theoretical background (the Gettier problem, the closure principle, and internalism vs. externalism), and then focuses on (i) the rise and development of modest forms of foundationalism, (ii) recent debates on epistemic skepticism, (iii) epistemic infinitism, (iv) (...) epistemic contextualism and its contributions and problems, (v) two models of virtue epistemology, its merits and existing issues. It ends with a brief review of the theoretical crisis faced with contemporary epistemology and its opportunities. (shrink)

A collection of vigorous debates on some of the most controversial topics in recent theoretical epistemology.

What follows is a taxonomy of arguments that regresses of inferential justification are vicious. They fall out into four general classes: conceptual arguments from incompleteness, conceptual arguments from arbitrariness, ought-implies-can arguments from human quantitative incapacities, and ought-implies can arguments from human qualitative incapacities. They fail with a developed theory of "infinitism" consistent with valuational pluralism and modest epistemic foundationalism.

The Continuum Companion to Epistemology offers the definitive guide to a key area of contemporary philosophy. The book covers all the fundamental questions asked by epistemology - areas that have continued to attract interest historically as well as topics that have emerged more recently as active areas of research. Sixteen specially commissioned essays from an international team of experts reveal where important work continues to be done in the area and, most valuably, the exciting new directions the field (...) is taking. The Companion explores issues pertaining to foundationalism, coherentism, infinitism, reliabilism, proper functionalism, evidentialism, skepticism, contextualism, epistemic relativism, intuition and experience. Featuring a series of indispensable research tools, including an A to Z of key terms and concepts, a chronology, a detailed list of resources and a fully annotated bibliography, this is the essential reference tool for anyone working in contemporary epistemology. (shrink)

Skepticism in epistemology refers to the supposedly irrational attitude of suspending judgment about all beliefs, particularly those taken for granted. The skeptical attitude presses philosophy to investigate the conditions under which knowledge and justification rather than accidental truths can be arrived at. In the first chapter, we will investigate how to construct a form of radical skepticism known as Pyrrhonian skepticism; we will see how Agrippa's Trilemma builds three ways of skeptical defense to object to three possible conditions in (...) the structuring of epistemic justification. In the second chapter, we will examine infinitism as a possible answer to the trilemma, as well as the conceptual bases that make possible the existence of this possible solution to the skeptical challenge. In the third, the main objection to infinitism known as the finite mind problem will be analyzed. In the fourth chapter, we will look at an alternative formulation of the trilemma, as well as the challenges this approach poses to the anti-skeptical response. (shrink)

Foundationalists distinguish basic from nonbasic beliefs. At a first approximation, to say that a belief of a person is basic is to say that it is epistemically justified and it owes its justification to something other than her other beliefs, where “belief” refers to the mental state that goes by that name. To say that a belief of a person is nonbasic is to say that it is epistemically justified and not basic. Two theses constitute Foundationalism: (a) Minimality: There are (...) some basic beliefs, and (b) Exclusivity: If there are any nonbasic beliefs, that is solely because they (ultimately) owe their justification to some basic belief. Proponents of Minimality but not Exclusivity endorse Minimal Foundationalism. Proponents of Exclusivity but not Minimality endorse either Epistemic Nihilism, the view that there are no justified beliefs, or some non-foundationalist epistemology such as Coherentism or Infinitism. In this essay I aim to characterize the notion of a basic belief more precisely and to assess some arguments for and against Foundationalism. In the process, I hope to exhibit the resilience and attractiveness of Foundationalism. (shrink)

This article develops a theory of reasons that has strong similarities to Peter Klein's infinitism. The view it develops, Framework Reasons, upholds Klein's principles of avoiding arbitrariness (PAA) and avoiding circularity (PAC) without requiring an infinite regress of reasons. A view of reasons that holds that the “reason for” relation is constrained by PAA and that PAC can avoid an infinite regress if the “reason for” relation is contextual. Moreover, such a view of reasons can maintain that skepticism is (...) false by the maintaining that there is more to epistemic justification than can be expressed in any reasoning session. One crucial argument for Framework Reasons is that justification depends on a background of plausibility considerations. The final section of the article applies this view of reasons to Michael Bergmann's argument that any nonskeptical epistemology must embrace epistemic circularity. (shrink)

I defend the unpopular view that inference can create justification. I call this view inferential creationism. Inferential creationism has been favored by infinitists, who think that it supports infinitism. But it doesn’t. Finitists can and should accept creationism.

Modal metaphysics consumed much of the philosophical discussion at the turn of the century, yielding a number of epistemological insights. Modal analyses were applied within epistemology, yielding sensitivity and safety theories of knowledge as well as counterfactual accounts of the basing relation. The contemporary conversation has now turned to a new metaphysical notion – grounding – opening the way to a fresh wave of insights by bringing grounding into epistemology. In this paper, I attempt one such application, making (...) sense of the epistemic regress problem in terms of grounding. I argue that the relation that generates the epistemic regress is a grounding relation, showing that grounding can make sense of proposals by epistemic foundationalists and charting the course for similar applications to epistemic coherentism and epistemic infinitism. If it is right that grounding is involved in the epistemic regress, this points the way forward both for epistemologists and metaphysicians, revealing the prospects of solutions to the epistemic regress problem while providing grounding advocates with yet another example of grounding with which to theorize. (shrink)

Prediction Error Minimization theory (PEM) is one of the most promising attempts to model perception in current science of mind, and it has recently been advocated by some prominent philosophers as Andy Clark and Jakob Hohwy. Briefly, PEM maintains that “the brain is an organ that on aver-age and over time continually minimizes the error between the sensory input it predicts on the basis of its model of the world and the actual sensory input” (Hohwy 2014, p. 2). An interesting (...) debate has arisen with regard to which is the more adequate epistemological interpretation of PEM. Indeed, Hohwy maintains that given that PEM supports an inferential view of perception and cognition, PEM has to be considered as conveying an internalist epistemological perspective. Contrary to this view, Clark maintains that it would be incorrect to interpret in such a way the indirectness of the link between the world and our inner model of it, and that PEM may well be combined with an externalist epistemological perspective. The aim of this paper is to assess those two opposite interpretations of PEM. Moreover, it will be suggested that Hohwy’s position may be considerably strengthened by adopting Carlo Cellucci’s view on knowledge (2013). (shrink)

Once upon a time, coherentism was the dominant response to the regress problem in epistemology, but in recent decades the view has fallen into disrepute: now almost everyone is a foundationalist (with a few infinitists sprinkled here and there). In this paper, I sketch a new way of thinking about coherentism, and show how it avoids many of the problems often thought fatal for the view, including the isolation objection, worries over circularity, and concerns that the concept of coherence (...) is too vague or metaphorical for serious theoretical use. The key to my approach is to take a familiar tool from discussions of the regress problem -- namely, directed graphs depicting the support relations between beliefs -- and to use that tool in a more sophisticated manner than it is standardly employed. (shrink)

The article discusses infinitism, the view that a belief is justified for a subject only if she possesses an infinite chain of available reasons for that belief. In its most recent and sophisticated version, the view allegedly escapes the problems that trouble its main competitors, foundationalism and coherentism, while avoiding the traditional objections which relegated it to a marginal place. The article argues that despite these improvements, sophisticated versions of infinitism face a pressing problem, viz. they are unable (...) to appropriately articulate propositional and doxastic justification. (shrink)

Recently, metaphysical coherentism has been propounded as an alternative to metaphysical foundationalism and infinitism. The view replaces the picture of reality as a hierarchy of levels with that of a network of objects or facts standing in symmetric or, more generally, cyclic relations of metaphysical dependence. This paper defends the orthodox picture of a well-founded hierarchy against the claimed superiority of coherentism. First, it will be argued that alleged theoretical advantages of coherentism do not hold up to scrutiny. Secondly, (...) examples that are claimed to support coherentism are either misdescribed as involving metaphysical interdependence, or foundationalist treatments fare at least as good and often better than coherentist interpretations. Thirdly, a similar diagnosis applies to a recently proposed coherentist interpretation of quantum entanglement. The more general diagnosis is that claims of metaphysical dependence are convincing only if there is a detailed account of how one item metaphysically explains another. While foundationalists can resort to various specific explanatory relations, coherentism seems to be incapable of providing detailed explanations. (shrink)

Foundationalism is false; after all, foundational beliefs are arbitrary, they do not solve the epistemic regress problem, and they cannot exist withoutother (justified) beliefs. Or so some people say. In this essay, we assess some arguments based on such claims, arguments suggested in recent work by Peter Klein and Ernest Sosa.

From 1929 through 1944, Wittgenstein endeavors to clarify mathematical meaningfulness by showing how (algorithmically decidable) mathematical propositions, which lack contingent "sense," have mathematical sense in contrast to all infinitistic "mathematical" expressions. In the middle period (1929-34), Wittgenstein adopts strong formalism and argues that mathematical calculi are formal inventions in which meaningfulness and "truth" are entirely intrasystemic and epistemological affairs. In his later period (1937-44), Wittgenstein resolves the conflict between his intermediate strong formalism and his criticism of set theory by requiring (...) that a mathematical calculus (vs. a "sign-game") must have an extrasystemic, real world application, thereby returning to the weak formalism of the Tractatus. (shrink)

The present PhD thesis is concerned with the question whether good reasoning requires that the subject has some cognitive grip on the relation between premises and conclusion. One consideration in favor of such a requirement goes as follows: In order for my belief-formation to be an instance of reasoning, and not merely a causally related sequence of beliefs, the process must be guided by my endorsement of a rule of reasoning. Therefore I must have justified beliefs about the relation between (...) my premises and my conclusion. -/- The rationality of a belief often depends on whether it is rightly connected to other beliefs, or more generally to other mental states —the states capable of providing a reason to holding the belief in question. For instance, some rational beliefs are connected to other beliefs by being inferred from them. It is often accepted that the connection implies that the subject in some sense ‘takes the mental states in question to be reason-providing’. But views on how exactly this is to be understood differ widely. They range from interpretations according to which ‘taking a mental state to be reason-providing’ imposes a mere causal sustaining relation between belief and reason-providing state to interpretations according to which one ‘takes a mental state to be reason-providing’ only if one believes that the state is reason-providing. The most common worry about the latter view is that it faces a vicious regress. In this thesis a different but in some respects similar interpretation of ‘taking something as reason-providing’ is given. It is argued to consist of a disposition to react in certain ways to information that challenges the reason-providing capacity of the allegedly reason-providing state. For instance, that one has inferred A from B partly consists in being disposed to suspend judgment about A if one obtains a reason to believe that B does not render A probable. The account is defended against regress-objections and the suspicion of explanatory circularity. (shrink)

The purpose of this paper is to explain how infinitism—the view that reasons are endless and non-repeating—solves the epistemic regress problem and to defend that solution against some objections. The first step is to explain what the epistemic regress problem is and, equally important, what it is not. Second, I will discuss the foundationalist and coherentist responses to the regress problem and offer some reasons for thinking that neither response can solve the problem, no matter how they are tweaked. (...) Then, I want to present the infinitist solution to the problem and defend it against some of the well known objections to it. (shrink)

The philosolphy of strict finitism is a research programme containing developmental theory and mathematics as its main branches. The first branch is concerned with the ontogenetic and historicaldevelopment of various concepts of infinity. The frame work is Jean Piaget’s genetic epistemology. Based upon these develop mental studies, the mathematical branch introduces a new concept of infinity into mathematics. Cantor propagated the actual infinite, Brouwer and the constructivists the potential infinite. Still more radical is strict finitism, favoring the natural infinite, (...) i.e. the phenomena of the unsurveyable, unfeasible, unreachable. There exist by this time strict finitistic reconstructions for arithmetic, geometry, calculus, and even for infinitistic set theory. (shrink)

“Real knowledge,” as I use the term, is the most highly prized form of true belief sought by an epistemic agent. This paper argues that defeasible infinitism provides a good way to characterize real knowledge and it shows how real knowledge can arise from fallible justification. Then, I argue that there are two ways of interpreting Ernest Sosa's account of real knowledge as belief that is aptly formed and capable of being fully defended. On the one hand, if beliefs (...) are aptly formed only if they have a specific causal etiology, namely that they are efficiently caused fully or partially by virtuous characteristics of the epistemic agent, then Sosa's account falls prey to what I call the problem of the Hazard of Empirical Disconfirmation. The HED problem applies to all forms of causal accounts of real knowledge and is simply that as we gain more empirical knowledge about the causal origins of our true beliefs that are the most highly prized we will discover that they do not always satisfy the required efficient causal constraints. Bluntly put, having sufficiently good reasons for our beliefs might not require that the beliefs have the requisite efficient causal etiology. On the other hand, there is a way of interpreting Sosa's views that does not include an efficient causal prerequisite. That interpretation makes Sosa's account of real knowledge almost identical to defeasible infinitism but expressed in an alternate vocabulary. Such a view is not subject to the HED problem and it can solve the deep problem in epistemology, namely how to get epistemically certain knowledge from fallible justification. (shrink)