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)

From 1929 onwards, C. I. Lewis defended the foundationalist claim that judgements of the form 'x is probable' only make sense if one assumes there to be a ground y that is certain (where x and y may be beliefs, propositions, or events). Without this assumption, Lewis argues, the probability of x could not be anything other than zero. Hans Reichenbach repeatedly contested Lewis's idea, calling it "a remnant of rationalism". The last move in this debate was a challenge by (...) Lewis, defying Reichenbach to produce a regress of probability values that yields a number other than zero. Reichenbach never took up the challenge, but we will meet it on his behalf, as it were. By presenting a series converging to a limit, we demonstrate that x can have a definite and computable probability, even if its justification consists of an infinite number of steps. Next we show the invalidity of a recent riposte of foundationalists that this limit of the series can be the ground of justification. Finally we discuss the question where justification can come from if not from a ground. (shrink)

This Open Access book addresses the age-old problem of infinite regresses in epistemology. How can we ever come to know something if knowing requires having good reasons, and reasons can only be good if they are backed by good reasons in turn? The problem has puzzled philosophers ever since antiquity, giving rise to what is often called Agrippa's Trilemma. The current volume approaches the old problem in a provocative and thoroughly contemporary way. Taking seriously the idea that good reasons are (...) typically probabilistic in character, it develops and defends a new solution that challenges venerable philosophical intuitions and explains why they were mistakenly held. Key to the new solution is the phenomenon of fading foundations, according to which distant reasons are less important than those that are nearby. The phenomenon takes the sting out of Agrippa's Trilemma; moreover, since the theory that describes it is general and abstract, it is readily applicable outside epistemology, notably to debates on infinite regresses in metaphysics. (shrink)

There is an interesting and instructive problem with Richard Fumerton's acquaintance theory of noninferential justification. Fumerton's explicit account requires acquaintance with the truth-maker of one's belief and yet he admits that one can have noninferential justification when one is not acquainted with the truthmaker of one's belief but instead acquainted with a very similar truth-maker. On the face of it this problem calls for clarification. However, there are skeptical issues lurking in the background. This paper explores these issues by developing (...) a dilemma for an acquaintance theory. (shrink)

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)

Reichenbach’s use of ‘posits’ to defend his frequentistic theory of probability has been criticized on the grounds that it makes unfalsifiable predictions. The justice of this criticism has blinded many to Reichenbach’s second use of a posit, one that can fruitfully be applied to current debates within epistemology. We show first that Reichenbach’s alternative type of posit creates a difficulty for epistemic foundationalists, and then that its use is equivalent to a particular kind of Jeffrey conditionalization. We conclude that, under (...) particular circumstances, Reichenbach’s approach and that of the Bayesians amount to the same thing, thereby presenting us with a new instance in which chance and credence coincide. (shrink)

Sometimes appearances provide epistemic support that gets undercut later. In an earlier paper I argued that standard Bayesian update rules are at odds with this phenomenon because they are ‘rigid’. Here I generalize and bolster that argument. I first show that the update rules of Dempster–Shafer theory and ranking theory are rigid too, hence also at odds with the defeasibility of appearances. I then rebut three Bayesian attempts to solve the problem. I conclude that defeasible appearances pose a more difficult (...) and pervasive challenge for formal epistemology than is currently thought. 1 The Challenge for Bayesianism1.1 Updating and experience1.2 The problem1.3 Objections2 The Challenge for Dempster–Shafer Theory2.1 Background on Dempster–Shafer theory2.2 The problem for Dempster–Shafer theory3 The Challenge for Ranking Theory4 The Appeal to Metacognition5 The Appeal to Richer Inputs6 The Appeal to a Generic Underminer7 Conclusion. (shrink)

Like many discussions on the pros and cons of epistemic foundationalism, the debate between C. I. Lewis and H. Reichenbach dealt with three concerns: the existence of basic beliefs, their nature, and the way in which beliefs are related. In this paper we concentrate on the third matter, especially on Lewis’s assertion that a probability relation must depend on something that is certain, and Reichenbach’s claim that certainty is never needed. We note that Lewis’s assertion is prima facie ambiguous, but (...) argue that this ambiguity is only apparent if probability theory is viewed within a modal logic. Although there are empirical situations where Reichenbach is right, and others where Lewis’s reasoning seems to be more appropriate, it will become clear that Reichenbach’s stance is the generic one. We conclude that this constitutes a threat to epistemic foundationalism.Keywords: Epistemic foundationalism; Probability; Clarence Irving Lewis; Hans Reichenbach. (shrink)

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 purpose of this paper is to show that we should dispense with the concept of immediate awareness, when it takes for its object the existence and nature of our sensations and images.The question of whether we are immediately aware of the existence and nature of our sensations and images cannot be answered in a reasonable manner unless we have a firm grip on the concept of immediate awareness. Philosophers who have employed it have usually employed it in such a (...) way that the word “immediate” in the corresponding phrase “immediate awareness” describes both the nature of the awareness and how it came to have that nature. When it describes the nature of the awareness “immediate” means “incorrigible”. (shrink)

Lewis's account of the role of sensory experience in empirical knowledge rests on the theses: (1) that one's apprehension of what is given in sensory experience is certain; (2) that unless there were such certain apprehension of the given, No knowledge would be possible; (3) that justification of one's other justified empirical beliefs always derives from one's apprehension of the given. I show that all three theses are false. That they are false provides further motivation for the theory of justification (...) I call "foundherentist", Which is fallibilist and permits mutual support (see my "theories of knowledge; an analytic framework", "proceedings of the aristotelian society, Lxxxiii", 1982-3). (shrink)

Properly understood, foundationalism as a meta‐epistemic theory is consistent with skepticism. This article outlines five possible points of overlap between the two views, and shows that arguments against foundationalism posited on its inability to refute skepticism are improperly framed.

Lewis, according to Kuklick, was ‘a private person’, of ‘unsparing honesty and … utter dedication to the rational pursuit of truth’. He was, Kuklick continues, ‘equally uncompromising in what he expected of his readers, and as a result wrote for and lectured to a tiny group of scholars’. I hope that—since I occasionally find myself borrowing from him and frequently find myself arguing with him—I may count myself as one of the ‘tiny group of scholars’ for whom Lewis wrote. And (...) perhaps, by arguing with him again here, I may persuade some of you of the enduring interest of his work. (shrink)