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.

By “Brentanian inner consciousness” I mean the conception of inner consciousness developed by Franz Brentano. The aim of this paper is threefold: first, to present Brentano’s account of inner consciousness; second, to discuss this account in light of the mereology outlined by Brentano himself; and third, to decide whether this account incurs an infinite regress. In this regard, I distinguish two kinds of infinite regress: external infinite regress and internal infinite regress. I (...) contend that the most plausible reading of Brentano’s account is the so-called fusion thesis, and I argue that internal infinite regress turns out to be inherent to Brentanian inner consciousness. (shrink)

In a number of recent publications Thomasson has defended a deflationary approach to ontological disputes, according to which ontological disputes are relatively easy to settle, by either conceptual analysis, or conceptual analysis in conjunction with empirical investigation. Thomasson’s “easy” approach to ontology is intended to derail many prominent ontological disputes. In this paper I present an objection to Thomasson’s approach to ontology. Thomasson’s approach to existence assertions means that she is committed to the view that application conditions associated with any (...) term “K” with non-trivial application conditions must refer to the existence of things other than Ks. Given other components of her meta-ontological scheme, this leads to either an infinite regress or circularity of application conditions, both of which seem objectionable. Accordingly, some part of Thomasson’s meta-ontological scheme should be modified or abandoned. (shrink)

A comment on Paul Schoemaker's target article in Behavioral and Brain Sciences, 14 (1991), p. 205-215, "The Quest for Optimality: A Positive Heuristic of Science?" (https://doi.org/10.1017/S0140525X00066140). This comment argues that the optimizing model of decision leads to an infinite regress, once internal costs of decision (i.e., information and computation costs) are duly taken into account.

We model infinite regress structures -not arguments- by means of ungrounded recursively defined functions in order to show that no such structure can perform the task of providing determination to the items composing it, that is, that no determination process containing an infinite regress structure is successful.

There is a long-standing debate in epistemology on the structure of justification. Some recent work in formal epistemology promises to shed some new light on that debate. I have in mind here some recent work by David Atkinson and Jeanne Peijnenburg, hereafter “A&P”, on infinite regresses of probabilistic support. A&P show that there are probability distributions defined over an infinite set of propositions {\ such that \ is probabilistically supported by \ for all i and \ has a (...) high probability. Let this result be “APR”. A&P oftentimes write as though they believe that APR runs counter to foundationalism. This makes sense, since there is some prima facie plausibility in the idea that APR runs counter to foundationalism, and since some prominent foundationalists argue for theses inconsistent with APR. I argue, though, that in fact APR does not run counter to foundationalism. I further argue that there is a place in foundationalism for infinite regresses of probabilistic support. (shrink)

I argue against the skeptical epistemological view exemplified by the Groarkes that “all theories of informal argument must face the regress problem.” It is true that in our theoretical representations of reasoning, infinite regresses of self-justification regularly and inadvertently arise with respect to each of the RSA criteria for argument cogency (the premises are to be relevant, sufficient, and acceptable). But they arise needlessly, by confusing an RSA criterion with argument content, usually premise material.

An agent’s belief in a proposition, E0, is justified by an infinite regress of deferred justification just in case the belief that E0 is justified, and the justification for believing E0 proceeds from an infinite sequence of propositions, E0, E1, E2, etc., where, for all n ≥ 0, En+1 serves as the justification for En. In a number of recent articles, Atkinson and Peijnenburg claim to give examples where a belief is justified by an infinite (...) class='Hi'>regress of deferred justification. I argue here that there is no reason to regard Atkinson and Peijnenburg’s examples as cases where a belief is so justified. My argument is supported by careful consideration of the grounds upon which relevant beliefs are held within Atkinson and Peijnenburg’s examples. (shrink)

The following four theses all have some intuitive appeal: (I) There are valid norms. (II) A norm is valid only if justified by a valid norm. (III) Justification, on the class of norms, has an irreflexive proper ancestral. (IV) There is no infinite sequence of valid norms each of which is justified by its successor. However, at least one must be false, for (I)--(III) together entail the denial of (IV). There is thus a conflict between intuition and logical possibility. (...) This paper, after distinguishing various conceptions of a norm, of validity and of justification, argues for the following position. (I) is true. (II) is false for legislative justification and true for epistemic justification. (III) is true for legislative and false for epistemic justification. (IV) is true for legislative justification; for epistemic justification (IV) is true or false depending on the conception taken of a norm. Our intuition in favour of (II) must therefore be abandoned where justification is conceived legislatively. Our intuition in favour of (III) must be abandoned, and our intuition in favour of (IV) qualified, where justification is conceived epistemically. (shrink)

In formal ontology, infinite regresses are generally considered a bad sign. One debate where such regresses come into play is the debate about fundamentality. Arguments in favour of some type of fundamentalism are many, but they generally share the idea that infinite chains of ontological dependence must be ruled out. Some motivations for this view are assessed in this article, with the conclusion that such infinite chains may not always be vicious. Indeed, there may even be room (...) for a type of fundamentalism combined with infinite descent as long as this descent is “boring,” that is, the same structure repeats ad infinitum. A start is made in the article towards a systematic account of this type of infinite descent. The philosophical prospects and scientific tenability of the account are briefly evaluated using an example from physics. (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)

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)

How should you decide what to do when you're uncertain about basic normative principles (e.g., Kantianism vs. utilitarianism)? A natural suggestion is to follow some "second-order" norm: e.g., "comply with the first-order norm you regard as most probable" 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, it seems that any norm-guided response to normative uncertainty is doomed to a vicious regress. In this paper, I (...) aim to rescue second-order norms from this threat of regress. I first elaborate and defend the suggestion some philosophers have entertained that the regress problem forces us to accept normative externalism, the view that at least one norm is incumbent on agents regardless of their beliefs or evidence concerning that norm. But, I then argue, we need not accept externalism about first-order (e.g., moral) norms, thus closing off any question of what an agent should do in light of her normative beliefs. Rather, it is more plausible to ascribe external force to a single, second-order rational norm: the enkratic principle, correctly formulated. This modest form of externalism, I argue, is both intrinsically well-motivated and sufficient to head off the threat of regress. (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)

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)

Higher-order thought theories of consciousness attempt to explain what it takes for a mental state to be conscious, rather than unconscious, by means of a HOT that represents oneself as being in the state in question. Rosenthal Consciousness and the self: new essays, Cambridge University Press, Cambridge, 2011) stresses that the way we are aware of our own conscious states requires essentially indexical self-reference. The challenge for defenders of HOT theories is to show that there is a way to explain (...) the required reference-fixing mechanisms that is compatible with the theory. According to Rosenthal, the reference to oneself as such is grounded in the disposition to identify the individual the HOT refers to as the individual who has that HOT. I argue that this leads to a vicious infinite regress on the more than plausible assumption that our cognitive capacities are limited. This leaves such theories without a foundation, since self-reference is thought essential to consciousness. (shrink)

This paper discusses an infinite regress that looms behind a certain kind of historical explanation. The movement of one barbarian group is often explained by the movement of others, but those movements in turn call for an explanation. While their explanation can again be the movement of yet another group of barbarians, if this sort of explanation does not stop somewhere we are left with an infinite regress of barbarians. While that regress would be vicious, (...) it cannot be accommodated by several general views about what viciousness in infinite regresses amounts to. This example is additional evidence that we should prefer a pluralist approach to infinite regresses. (shrink)

This paper critically evaluates the regress argument for infinitism. The dialectic is essentially this. Peter Klein argues that only an infinitist can, without being dogmatic, enhance the credibility of a questioned non-evident proposition. In response, I demonstrate that a foundationalist can do this equally well. Furthermore, I explain how foundationalism can provide for infinite chains of justification. I conclude that the regress argument for infinitism should not convince us.

Bertrand Russell argued that any attempt to get rid of universals in favor of resemblances fails. He argued that no resemblance theory could avoid postulating a universal of resemblance without falling prey to a vicious infinite regress. He added that admitting such a universal of resemblance made it pointless to avoid other universals. In this paper I defend resemblance nominalism from both of Russell's points by arguing that (a) resemblance nominalism can avoid the postulation of a universal of (...) resemblance without falling into a vicious infinite regress, and (b) even if resemblance nominalism had to admit a universal of resemblance, this would not make it pointless to avoid postulating other universals. (shrink)

Resemblance Nominalism is the view that denies universals and tropes and claims that what makes F-things F is their resemblances. A famous argument against Resemblance Nominalism is Russell's regress of resemblances, according to which the resemblance nominalist falls into a vicious infinite regress. Aristocratic Resemblance Nominalism, as opposed to Egalitarian Resemblance Nominalism, is the version of Resemblance Nominalism that claims that what makes F-things F is that they resemble the F-paradigms. In this paper I attempt to show (...) that a recently advocated strategy to stop Russell's regress by using paradigms does not succeed. (shrink)

Once one accepts that certain things metaphysically depend upon, or are metaphysically explained by, other things, it is natural to begin to wonder whether these chains of dependence or explanation must come to an end. This essay surveys the work that has been done on this issue—the issue of grounding and infinite descent. I frame the discussion around two questions: (1) What is infinite descent of ground? and (2) Is infinite descent of ground possible? In addressing the (...) second question, I will consider a number of arguments that have been made for and against the possibility of infinite descent of ground. When relevant, I connect the discussion to two important views about the way reality can be structured by grounding: metaphysical foundationalism and metaphysical infinitism. (shrink)

Consider an infinite series whose items are each explained by their immediate successor. Does such an infinite explanation explain the whole series or does it leave something to be explained? Hume arguably claimed that it does fully explain the whole series. Leibniz, however, designed a very telling objection against this claim, an objection involving an infinite series of book copies. In this paper, I argue that the Humean claim can, in certain cases, be saved from the Leibnizian (...) “infinite book copies” objection, and that this provides an interesting way to defuse some cosmological arguments for the existence of God and to give a non-theistic but complete explanation of the Universe. In the course of my argumentation, I also show that circular explanations can be “self-explanatory” as well: explaining two items by each other can explain the couple of items tout court. (shrink)

Several of Thomas Aquinas's proofs for the existence of God rely on the claim that causal series cannot proceed in infinitum. I argue that Aquinas has good reason to hold this claim given his conception of causation. Because he holds that effects are ontologically dependent on their causes, he holds that the relevant causal series are wholly derivative: the later members of such series serve as causes only insofar as they have been caused by and are effects of the earlier (...) members. Because the intermediate causes in such series possess causal powers only by deriving them from all the preceding causes, they need a first and non-derivative cause to serve as the source of their causal powers. (shrink)

This paper aims to investigate Allan Gibbard’s norm-expressivist account of normativity. In particular, the aim is to see whether Gibbard’s theory is able to account for the normativity of reason-claims. For this purpose, I first describe how I come to targeting Gibbard’s theory by setting out the main tenets of quasi-realism cum expressivism. After this, I provide a detailed interpretation of the relevant parts of Gibbard’s theory. I argue that the best reading of his account is the one that takes (...) normativity to be carried by a controlled, coherent, comprehensive set of norms. Finally, I present a potential obstacle to Gibbard’s approach: the regress problem. The idea is to examine the structure of the non-cognitive state expressed and find it inadequate due to the possibility of an infinite regress in the justification of the norms whose acceptance it contains. I then end the paper with some concluding remarks. (shrink)

In this paper I will examine the infinite regress arguments pertaining to the unreality of relations that are presented in Francis Herbert Bradley’s paper, Appearance and Reality. Then I will suggest two argumentative strategies one can take to undermine Bradley’s regress argument. The first option concerns plainly rejecting the regress by stating that Bradley is viewing relations as kinds of objects that are in need of being related, whereas the second option is in regards to adopting (...) an existential-dependence view between objects and their properties to refute the need for relations. I will conclude this paper by comparing these two strategies against each other, alluding to each of their ramifications. (shrink)

In this paper a class of languages which are formal enough for mathematical reasoning is introduced. Its languages are called mathematically agreeable. Languages containing a given MA language L, and being sublanguages of L augmented by a monadic predicate, are constructed. A mathematical theory of truth (shortly MTT) is formulated for some of those languages. MTT makes them fully interpreted MA languages which posses their own truth predicates. MTT is shown to conform well with the eight norms formulated for theories (...) of truth in the paper 'What Theories of Truth Should be Like (but Cannot be)', by Hannes Leitgeb. MTT is also free from infinite regress, providing a proper framework to study the regress problem. Main tools used in proofs are Zermelo-Fraenkel (ZF) set theory and classical logic. (shrink)

A theory of truth is introduced for a first--order language L of set theory. Fully interpreted metalanguages which contain their truth predicates are constructed for L. The presented theory is free from infinite regress, whence it provides a proper framework to study the regress problem. Only ZF set theory, concepts definable in L and classical two-valued logic are used.

Normativists about belief hold that belief formation is essentially rule- or norm-guided. On this view, certain norms are constitutive of or essential to belief in such a way that no mental state not guided by those norms counts as a belief, properly construed. In recent influential work, Kathrin Glüer and Åsa Wikforss develop novel arguments against normativism. According to their regress of motivations argument, not all belief formation can be rule- or norm-guided, on pain of a vicious infinite (...) regress. I argue that the regress of motivations argument is unsuccessful: an appeal to the notion of blind rule-following, drawn from a plausible interpretation of Ludwig Wittgenstein’s remarks on rule-following, stops the regress of motivations in its tracks. (shrink)

Based on a recently published essay by Jeremy Gwiazda, I argue that the possibility that the present state of the universe is the product of an actually infinite series of causally-ordered prior events is impossible in principle, and thus that a major criticism of the Secunda Via of St. Thomas is baseless after all.

I give an interpretation according to which Meno’s paradox is an epistemic regress problem. The paradox is an argument for skepticism assuming that acquired knowledge about an object X requires prior knowledge about what X is and any knowledge must be acquired. is a principle about having reasons for knowledge and about the epistemic priority of knowledge about what X is. and jointly imply a regress-generating principle which implies that knowledge always requires an infinite sequence of known (...) reasons. Plato’s response to the problem is to accept but reject : some knowledge is innate. He argues from this to the conclusion that the soul is immortal. This argument can be understood as a response to an Eleatic problem about the possibility of coming into being that turns on a regress-generating causal principle analogous to the regress-generating principle presupposed by Meno’s paradox. (shrink)

The relations between rationality and optimization have been widely discussed in the wake of Herbert Simon's work, with the common conclusion that the rationality concept does not imply the optimization principle. The paper is partly concerned with adding evidence for this view, but its main, more challenging objective is to question the converse implication from optimization to rationality, which is accepted even by bounded rationality theorists. We discuss three topics in succession: (1) rationally defensible cyclical choices, (2) the revealed preference (...) theory of optimization, and (3) the infinite regress of optimization. We conclude that (1) and (2) provide evidence only for the weak thesis that rationality does not imply optimization. But (3) is seen to deliver a significant argument for the strong thesis that optimization does not imply rationality. (shrink)

ABSTRACT. The relations between rationality and optimization have been widely discussed in the wake of Herbert Simon’s work, with the common conclusion that the rationality concept does not imply the optimization principle. The paper is partly concerned with adding evidence for this view, but its main, more challenging objective is to question the converse implication from optimization to rationality, which is accepted even by bounded rationality theorists. We discuss three topics in succession: (1) rationally defensible cyclical choices, (2) the revealed (...) preference theory of optimization, and (3) the infinite regress of optimization. We conclude that (1) and (2) provide evidence only for the weak thesis that rationality does not imply optimization. But (3) is seen to deliver a significant argument for the strong thesis that optimization does not imply rationality. (shrink)

This paper examines the Stoic account of apprehension (κατάληψις) (a cognitive achievement similar to how we typically view knowledge). Following a seminal article by Michael Frede (1983), it is widely thought that the Stoics maintained a purely externalist causal account of apprehension wherein one may apprehend only if one stands in an appropriate causal relation to the object apprehended. An important but unanswered challenge to this view has been offered by David Sedley (2002) who offers reasons to suppose that the (...) Stoics (or at least Zeno, the founder of the Stoa) did not make such a causal stipulation. I offer a defence of the traditional, causal reading against the challenges raised by Sedley but also argue, against the traditional view, that the Stoic account incorporated an internalist element. On the hybrid account defended here, in order to apprehend not only must the agent stand in an appropriate causal relation to the object apprehended but the agent’s appearance of the object must also be clear (a feature which is accessible to the epistemic agent). The traditional scholarly view rejects internalist interpretations because it is thought that such interpretations cannot make sense of the Stoics’ discussion of the ‘automatic assent’ produced by kataleptic appearances and a purely externalist view is taken to be charitable insofar as it saves the Stoics from a vicious regress which they would otherwise face (were they internalists). I spell out how the regress might be taken to function and defend an internalist interpretation against both these charges. The internalist element embraced by the Stoics does not lead to the problems it is often thought to and the account defended here not only does justice to the textual evidence but also sheds light on the Stoic debates with their sceptical opponents and grants the Stoics an epistemic account fit for purpose. (shrink)

A reflection on the merits of an a priori poeto-epistemology in relation to tacitly held assumptions about the a fortiori validity of computational logic to transcend the limits of contradiction and infinite regression and establish a valid ontology.

There is virtually universal agreement in the scientific community that religion does not meet the requirements of science and that its contents can consequently be largely ignored. Yet what exactly is wrong with religion from a scientific point of view and why is religion still so widely spread around the globe? -/- This article, which is strongly influenced by Harris 2005, identifies three items - widespread ignorance of the empirical (2.1), rational (2.2), and fallibilist attitude (2.3) - as religion's primary (...) epistemological or methodological faults. It is then attempted to show that philosophy and science, due to adhering to this "Holy Trinity of Science," do an equal or much better job than religion at satisfying five deep-seated and knowledge-related human needs - the meaning of life (3.1), the origin of morals and ethics (3.2), stopping the infinite regress (3.3), comfort and security (3.4), spirituality (3.5) - for whose satisfaction many people still (incorrectly) turn to religion. The article concludes with an attempt to reconcile science and religion by adopting a decidedly nonphysicalist position, by making a near death experience based case for the natural immortality of the soul/consciousness, and by generally putting spirituality on a scientific and epistemologically sound footing. (shrink)

In Justification without Awareness (2006), Michael Bergmann presents a dilemma for internalism from which he claims there is “no escape”: The awareness allegedly required for justification is either strong awareness, which involves conceiving of some justification-contributor as relevant to the truth of a belief, or weak awareness, which does not. Bergmann argues that the former leads to an infinite regress of justifiers, while the latter conflicts with the “clearest and most compelling” motivation for endorsing internalism, namely, that for (...) a belief to be justified its truth must not be an accident from the subject’s perspective. Bergmann’s dilemma might initially seem to have the force of a knock-down argument against the classical foundationalist accounts he considers, if not against all forms of internalism. I argue, however, that the weak-awareness horn of Bergmann’s dilemma is unsuccessful. Classical foundationalists can hold on to the main motivation for internalism and avoid a vicious regress of justifiers. (shrink)

Do powers have powers? More urgently, do powers need further powers to do what powers do? Stathis Psillos says they do. He finds this a fatal flaw in the nature of pure powers: pure powers have a regressive nature. Their nature is incoherent to us, and they should not be admitted into the ontology. I argue that pure powers do not need further powers; rather, they do what they do because they are powers. I show that at the heart of (...) Psillos’ regress is a metaphysical division he assumes between a pure power to φ and its directedness towards the manifestation of φ-ing, i.e. between a pure power and its essence. But such an ontological division between an entity and its essence has already been shown by Aristotle to be detrimental, condemning the entity to a regressive nature. I show that Psillos’ regress is but an instance of Aristotle’s regress argument on the relation between an entity and its essence. I compare Aristotle’s, Bradley’s, and Psillos’ regresses, showing that Bradley’s and Psillos’ (different) conclusions from the regress arguments lead to impasses. I then build on Aristotle’s directive against regressive natures, arguing with him that an entity is not other than its nature (being divided from its nature by a relation between them). Rather, an entity is an instantiated nature itself. The Aristotelian position I put forward explains how the oneness of the entity is achieved by its being an instance of a type. Thus, the regress is blocked, and the nature of pure powers is shown to pose no threats of an ontological or epistemological kind, if physics gave us reasons to posit pure powers. (shrink)

Ockham holds what nowadays would be characterized as a “higher-order perception” theory of consciousness. Among the most common objections to such a theory is the charge that it gives rise to an infinite regress in higher-order states. In this paper, I examine Ockham’s various responses to the regress problem, focusing in particular on his attempts to restrict the scope of consciousness so as to avoid it. In his earlier writings, Ockham holds that we are conscious only of (...) those states to which we explicitly attend. This view, I go on to argue, is inadequate on both phenomenological and philosophical grounds. Interestingly, and perhaps for this very reason, in later works, Ockham goes on to develop an alternative explanation for his account of the limited scope of consciousness. (shrink)

Fine, Lowe and Hale accept the view that necessity is to be explained by essences: Necessarily p iff, and because, there is some x whose essence ensures that p. Hale, however, believes that this strategy is not universally applicable; he argues that the necessity of essentialist truths cannot itself be explained by once again appealing to essentialist truths. As a consequence, Hale holds that there are basic necessities that cannot be explained. Thus, Hale style essentialism falls short of what Wilsch (...) calls the explanation-challenge (EC) for the metaphysics of necessity. Without endorsing the EC, I argue that Hale’s argument for basic, unexplained necessities fails due to a misunderstanding of the structure of essentialist explanations. Getting clear about the structure of essentialist explanations of necessity leads to a re-evaluation of crucial circularity- and regress-arguments that have been discussed in the debate about essentialism. (shrink)

It is widely known that Aristotle rules out the existence of actual infinities but allows for potential infinities. However, precisely why Aristotle should deny the existence of actual infinities remains somewhat obscure and has received relatively little attention in the secondary literature. In this paper I investigate the motivations of Aristotle’s finitism and offer a careful examination of some of the arguments considered by Aristotle both in favour of and against the existence of actual infinities. I argue that Aristotle has (...) good reason to resist the traditional arguments offered in favour of the existence of the infinite and that, while there is a lacuna in his own ‘logical’ arguments against actual infinities, his arguments against the existence of infinite magnitude and number are valid and more well grounded than commonly supposed. (shrink)

The justificatory force of empirical reasoning always depends upon the existence of some synthetic, a priori justification. The reasoner must begin with justified, substantive constraints on both the prior probability of the conclusion and certain conditional probabilities; otherwise, all possible degrees of belief in the conclusion are left open given the premises. Such constraints cannot in general be empirically justified, on pain of infinite regress. Nor does subjective Bayesianism offer a way out for the empiricist. Despite often-cited convergence (...) theorems, subjective Bayesians cannot hold that any empirical hypothesis is ever objectively justified in the relevant sense. Rationalism is thus the only alternative to an implausible skepticism. (shrink)

In Section I, I explain some key Sartrean terminology and in Section II, I introduce the HOT theory. Section III is where I argue for the close connection between Sartre’s theory and a somewhat modified version of the HOT theory. That section of the paper is divided into four subsections in which I also address the relevance of Sartre’s rejection of the Freudian unconscious and the threat of an infinite regress in his theory of consciousness. In Section IV, (...) I critically examine what I call ‘the unity problem,’ which has mainly been raised by Kathleen Wider against Sartre. In light of Section III, I attempt to relieve some of Sartre’s difficulties. In Section V, I critically examine a passage from Being and Nothingness containing one of Sartre’s main arguments for his belief that consciousness entails self-consciousness. In Section VI, I show how Sartre and the HOT theory can accommodate so-called ‘I-thoughts’ into the structure of conscious mental states with the help of Wider’s view. Finally, in Section VII, I offer some concluding remarks. (shrink)

This paper argues that the idea of a computer is unique. Calculators and analog computers are not different ideas about computers, and nature does not compute by itself. Computers, once clearly defined in all their terms and mechanisms, rather than enumerated by behavioral examples, can be more than instrumental tools in science, and more than source of analogies and taxonomies in philosophy. They can help us understand semantic content and its relation to form. This can be achieved because they have (...) the potential to do more than calculators, which are computers that are designed not to learn. Today’s computers are not designed to learn; rather, they are designed to support learning; therefore, any theory of content tested by computers that currently exist must be of an empirical, rather than a formal nature. If they are designed someday to learn, we will see a change in roles, requiring an empirical theory about the Turing architecture’s content, using the primitives of learning machines. This way of thinking, which I call the intensional view of computers, avoids the problems of analogies between minds and computers. It focuses on the constitutive properties of computers, such as showing clearly how they can help us avoid the infinite regress in interpretation, and how we can clarify the terms of the suggested mechanisms to facilitate a useful debate. Within the intensional view, syntax and content in the context of computers become two ends of physically realizing correspondence problems in various domains. (shrink)

In this paper I argue against grounding being necessarily well-founded, and provide some reasons to think it's actually not well-founded.

There is no question that Fichte's theory of conscience is central to his system of ethics. Yet his descriptions of its role in practical deliberation appear inconsistent, if not contradictory. Many scholars have claimed that for Fichte conscience plays a material role by providing the content of our moral obligations—the Material Function View. Some have denied this, however, claiming that conscience only plays a formal role by testing our moral convictions in any given case—the Formal Function View. My aim in (...) this paper is to offer a new contribution to this debate. I begin by supplying further evidence in support of the view that conscience only plays a formal function in Fichte's ethics. Then I call attention to a deeper problem this view faces, namely, that it invites an infinite regress by making one's conviction a matter of higher-order reflection. The key to overcoming this threat, I argue, lies in Fichte's doctrine of feeling, whereby the criterion of one's conviction lies, not in a cognitive state, but in an affective state. In closing, I discuss the relevance of Fichte's theory for current debates over the nature of moral error and moral deference. (shrink)

This article aims to provide a structural analysis of the problems related to the easy knowledge problem. The easy knowledge problem is well known. If we accept that we can have basic knowledge via a source without having any prior knowledge about the reliability or accuracy of this source, then we can acquire knowledge about the reliability or accuracy of this source too easily via information delivered by the source. Rejecting any kind of basic knowledge, however, leads into an (...) class='Hi'>infinite regress and, plausibly, to skepticism. The article argues that the third alternative, accepting basic knowledge but rejecting easy knowledge, entails closure failure. This is obviously the case for deductive bootstrapping, but, notably, the problem also arises for inductive bootstrapping. Hence, the set of problems related to the easy knowledge problem has the structure of a trilemma. We are forced to accept easy knowledge, closure failure, or skepticism. (shrink)

Initially introduced to the philosophical world as elusive, we-know-notwhats—substrata underlying the properties had or exemplified by things, but themselves bereft of properties—bare particulars have been dismissed as undetectable, unnecessary, and even incoherent. Hardly a warm welcome. It appears, however, that times are changing. In a recent series of articles, for example, J. P. Moreland has argued that “bare particulars are crucial entities in any adequate overall theory of individuation”;’ that is, concrete particulars cannot be individuated without them. In the same (...) vein, Oaklander and Rothstein,2 drawing upon elements of Moreland’s new theory, have defended bare particulars against Loux’s grounding objection’—that if the theory is correct, bare particulars are qualitatively indiscernible; in which case we either have no basis for saying that they arc numerically diverse, or we must introduce lower-level substrata to ground that diversity, thereby raising the spectre of an infinite regress of individuators. (shrink)

Suppose that five minutes ago, to our astonishment, a healthy, full-grown duck suddenly popped into existence on the table in front of us. Suppose further that there was no first time at which the duck existed but rather a last time, T, at which it had yet to exist. Then for each time t at which the duck has existed, there is an explanation of why the duck existed at t: there was a time t’ earlier than t but later (...) than T such that the duck existed at t’, and it was only to be expected that a healthy duck would survive the brief period from t’ to t. But would these explanations remove the mystery? Taken collectively, would they explain why the duck has existed since T rather than never having existed at all? Presumably not. But if not, this seems to discredit the style of explanation offered by Hume and Edwards for the infinite regress they hypothesize of causes and effects. (shrink)