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)

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 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 Comprehensive Human Decision-Making Equation presents a robust model for understanding Holistic Free Will (HFW), conceptualizing decision-making as an autonomous, non-deterministic process within a complex network of influences. This model addresses the Infinite Regress issue by portraying free will as an emergent property of interacting layers, including internal beliefs, external contexts, emotional responses, cognitive biases, and habitual tendencies. Departing from traditional linear models, the equation adopts a systemic framework where each choice reflects a cumulative utility, integrating multiple components such (...) as personal, ethical, social, and temporal utilities. This holistic approach emphasizes the probabilistic nature of free will, challenging deterministic interpretations and highlighting the ethical and relational dimensions of autonomy. By situating free will within a structured yet adaptive process, the model supports the notion that true autonomy is ethically aligned, relational, and embedded in a flexible reality, thereby promoting communal and ethical development. (shrink)

The representations of deep convolutional neural networks (CNNs) are formed from generalizing similarities and abstracting from differences in the manner of the empiricist theory of abstraction (Buckner, Synthese 195:5339–5372, 2018). The empiricist theory of abstraction is well understood to entail infinite regress and circularity in content constitution (Husserl, Logical Investigations. Routledge, 2001). This paper argues these entailments hold a fortiori for deep CNNs. Two theses result: deep CNNs require supplementation by Quine’s “apparatus of identity and quantification” in order to (...) (1) achieve concepts, and (2) represent objects, as opposed to “half-entities” corresponding to similarity amalgams (Quine, Quintessence, Cambridge, 2004, p. 107). Similarity amalgams are also called “approximate meaning[s]” (Marcus & Davis, Rebooting AI, Pantheon, 2019, p. 132). Although Husserl inferred the “complete abandonment of the empiricist theory of abstraction” (a fortiori deep CNNs) due to the infinite regress and circularity arguments examined in this paper, I argue that the statistical learning of deep CNNs may be incorporated into a Fodorian hybrid account that supports Quine’s “sortal predicates, negation, plurals, identity, pronouns, and quantifiers” which are representationally necessary to overcome the regress/circularity in content constitution and achieve objective (as opposed to similarity-subjective) representation (Burge, Origins of Objectivity. Oxford, 2010, p. 238). I base myself initially on Yoshimi’s (New Frontiers in Psychology, 2011) attempt to explain Husserlian phenomenology with neural networks but depart from him due to the arguments and consequently propose a two-system view which converges with Weiskopf’s proposal (“Observational Concepts.” The Conceptual Mind. MIT, 2015. 223–248). (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 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.

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.

I show that in our theoretical representations of argument, vicious infinite regresses of self-reference may arise with respect to each of the three usual, informal criteria of argument cogency: the premises are to be relevant, sufficient, and acceptable. They arise needlessly, by confusing a cogency criterion with argument content. The three types of regress all are structurally similar to Lewis Carroll’s famous regress, which involves quantitative extravagance with no explanatory power. Most attention is devoted to the sufficiency criterion, (...) including its relation to the view au courant that inferring necessarily involves the thinker taking her premises to support her conclusion. I contend that this view is mistaken and likewise that arguments make no such assumption or inference claim as that the premises support the conclusion. The core of the positive alternative model I propose is that there is commitment to, but not claiming, the proposition that the premises support the conclusion. (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)

I will explore the paradoxical nature of epistemic access. By critiquing the traditional conception of mental states that are labelled as ’knowledge’, I demonstrate the susceptibility of these states to an infinite regress, thus, challenging their existence and validity. I scrutinise the assumption that an epistemic agent can have complete epistemic access to all facts about a given object while simultaneously being ignorant of certain truths that impact the very knowledge claims about the object. I further analyse the implications (...) of this paradox when attempting to fine-grain the parameters of epistemic access, which happens to reveal the vacuity of such definitions and the inevitability of the regress. (shrink)

This article offers a reconstruction of an argument against infinite regress formulated by Aristotle in Posterior Analytics I 22. I argue against the traditional interpretation of the chapter, according to which singular terms and summa genera, in virtue of having restrict logical roles, provide limits for predicative chains, preventing them from proceeding ad infinitum. As I intend to show, this traditional reading is at odds with some important aspects of Aristotle’s theory of demonstration. More importantly, it fails to explain (...) how his proof is connected to a defence of the existence of ultimate explanations, a connection that must be the case if I 19-22 is advancing a foundationalist way-out to a sceptical challenge raised in I 3. (shrink)

The problem of infinite regress presents a profound challenge in epistemology and philosophy, questioning the possibility of achieving foundational knowledge amidst an endless chain of justifications. This paper introduces a set of four axioms designed to directly address and resolve the problem of infinite regress, ensuring theoretical rigor and applicability across diverse scenarios, including simulated or illusory realities. By focusing on Direct Address, Intellectual Rigor in All Realities, Avoiding Pragmatic Dismissals, and Theoretical Consistency, these axioms provide a structured (...) framework for evaluating philosophical theories aimed at overcoming this complex issue. The paper explores current theories that align with these axioms, evaluates popular theories that do not, and argues for the critical role of these axioms in guiding future philosophical inquiry and resolution of infinite regress. (shrink)

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.

[Winner of the 2017 AILACT Essay Prize Prize.] 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. (shrink)

Suhrawardī has presented arguments to support the existence of wājib al-wujūd in many of his works. One of the most fundamental of these arguments, which also has a forward-looking feature, is the one he presents in his books al-Talwīḥāt and Ḥikmah al-Ishrāq. To prove the existence of God, Suhrawardī devised three arguments in al-Talwīḥāt and one argument in Ḥikmah al-Ishrāq, all of which are interpretations of the ṣiddīqīn argument. In this article four of Suhrawardī’s arguments, three of them in (...) al-Talwīḥāt and one of them in Ḥikmah al-Ishrāq are reviewed. the main aim of this study is to analyze and explain Suhrawardī’s arguments, due to their importance in philosophy and theology, with the descriptive-analytical method and using library-based collecting data. The arguments presented in the al-Talwīḥāt are succinct, and what made these claims essential was the evaluation of their robustness and content. The significance of his first and third arguments in this book is that they do not require the denial of the vicious circle as a precondition, and by assuming the likelihood of both the vicious circle and infinite regress, the necessity of existence is demonstrated. On the other hand, his argument in Ḥikmah al-Ishrāq, which, like his second argument, is based on the refutation of the vicious circle and infinite regress, includes innovative features and should be investigated thoroughly. -/- . (shrink)

[Winner of the 2017 AILACT Essay Prize Prize.] 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. (shrink)

Probabilistic support is not transitive. There are cases in which x probabilistically supports y , i.e., Pr( y | x ) > Pr( y ), y , in turn, probabilistically supports z , and yet it is not the case that x probabilistically supports z . Tomoji Shogenji, though, establishes a condition for transitivity in probabilistic support, that is, a condition such that, for any x , y , and z , if Pr( y | x (...) ) > Pr( y ), Pr( z | y ) > Pr( z ), and the condition in question is satisfied, then Pr( z | x ) > Pr( z ). I argue for a second and weaker condition for transitivity in probabilistic support. This condition, or the principle involving it, makes it easier (than does the condition Shogenji provides) to establish claims of probabilistic support, and has the potential to play an important role in at least some areas of philosophy. (shrink)

Primarily using philosophy, but also some social science, Escape from Leviathan (EfL) explains and defends what it calls an extreme version of the implicit ‘classical liberal compatibility thesis’: liberty, welfare, and anarchy are overwhelmingly complementary in normal practice (rationality is added for its intimate theoretical connections to these categories). This is done using theories, not definitions, of each concept. This important thesis is entirely positive. Therefore, somewhat unusually, all normative issues are avoided as irrelevant distractions in this context. In addition, (...) the epistemology used is also unorthodox. A justificationist, or foundationalist, approach would be literally illogical: the self-refuting trilemma faced by ‘supporting justifications’ (as regards arguments and evidence) is of entailing infinite regresses, dogmatic starting points, or circularities. Consequently, critical rationalism is assumed: conjecture and criticism are all that is possible. Thus all aspects of the conjectured thesis are explained and defended from criticism as thoroughly as the book can encompass. It is concluded that the thesis has not been refuted and so may be critically preferred. (However, this could all still be viewed as a ‘justification’ by those thus inclined.) All of this is made clear enough in the short introductory chapter and repeated where relevant throughout. Yet some reviews do not have a firm grasp of the specific project and so reject it with unsound criticisms. We now turn to one such example. (shrink)

This paper offers a thorough appraisal of Peter David Klein's epistemological infinitism, emphasising his treatment of scepticism and the issue of infinite regress in epistemic justification. Klein, a prominent figure in contemporary epistemology, advocates for infinitism; a theory that argues justification is an unending process where each belief requires further reasons indefinitely. The study critically evaluates how Klein's defense of infinitism provides a distinctive response to the infinite regress problem, a core concern in scepticism. By contextualising Klein's theory (...) within the broader framework of epistemology, the research explores its implications for ongoing debates on justification and scepticism. The methodology includes a thematic analysis of Klein's key philosophical contributions, coupled with a critical examination of competing justification theories such as foundationalism, coherentism, and contextualism. Employing a comparative approach, the study assesses Klein's infinitism alongside these rival theories by drawing on primary texts and relevant secondary literature. The paper is divided into five sections: an introduction to scepticism and epistemic justification, an analysis of Klein's infinite regress argument, an exploration of traditional solutions to the regress problem, criticisms of infinitism, and an appraisal of Klein's contributions. The findings reveal that, despite its innovative approach, Klein's infinitism encounters significant theoretical and practical challenges. The conclusion assesses whether infinitism can adequately address the regress problem and considers its relevance to real-world epistemic practices. (shrink)

In everyday life, we think of skepticism as the position of a stubborn person who has higher epistemic standards than others. Hence, the skeptic is someone who defends extravagant ideas. Some skeptics may deny that climate change is real, while others claim that the first moon landing did not take place. Contemporary philosophers think of skepticism in a different way. In their view, skepticism is the conclusion of a paradoxical argument about epistemic statuses like knowledge and reasons. A paradoxical argument (...) is a logically valid argument that, starting from seemingly plausible premises, reaches an absurd conclusion. We introduce two skeptical arguments. The regress argument purports to show that we lack reasons to believe any claim whatsoever because the search for those reasons inevitably leads to an infinite regress. The underdetermination argument seeks to prove that we lack reasons to believe that there are chairs, trees, other people, and so on; it supports that conclusion by citing skeptical hypotheses, including the idea that we might be dreaming (Descartes 1641) or the suggestion that we could be brains in a vat connected to a supercomputer that mimics the pattern of neural activity that would be produced if we were perceiving external objects (Putnam 1981). (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)

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 this paper, I argue that those relying solely on the transmissive model to explain necessity face a regress of necessity. I then argue that the regress of necessity is vicious due to explanatory failure because it fails to address the source question of necessity adequately. We have prima facie justification for this conclusion in the absence of positive arguments for necessity infinitism, which holds that an infinite chain of necessity could serve as the source of necessity. On pain (...) of vicious regress, we should accept necessity foundationalism, which posits the existence of foundational box-truths (truths of the form □p) whose necessity is not explained by the necessity of further box-truths. Necessity foundationalism is motivated by the regress of necessity in a similar manner to justification foundationalism, which is motivated by the regress of epistemic reason. (shrink)

Rondo Keele makes a foray into what he calls 'applied logic', investigating a complex argument strategy employed against Ockham by his greatest contemporary opponent, Walter Chatton. Chatton conceives a two-part strategy which attempts to force a kind of iteration of conceptual analysis, together with an infinite explanatory regress, in order to establish that one particular philosophical analysis is ultimately dependent on another. Chatton uses this strategy against Ockham in order to show that the latter's reductionist metaphysics depends ultimately upon (...) a deeper level of realist assumptions that he can neither evade nor explain away. Keele then shows how, earlier in his career, Chatton found himself on the receiving end of this same strategy, defending his own highly original solution to the problem of future contingents from the very iteration-regress attack he would subsequently use on Ockham. Keele concludes with an examination of Chatton's attempts to avoid the consequences of his own strategy, and draws some connections between this argument strategy and modal collapse in modern logics. (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 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)

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)

In this note I defend nonreductionism about understanding by arguing that knowledge is neither necessary nor sufficient for understanding. To do so, I examine Paulina Sliwa’s recent (Sliwa 2015, 2017) defence of knowledge-based Reductionism (Reductionism for short). Sliwa claims that one understands why p if and only if one has a sufficient amount of knowledge why p. Sliwa also contends that Reductionism is supported by intuitive verdicts about our uses of ‘understanding why’ and ‘knowing why’. In reply, I first argue (...) that Sliwa’s Reductionism leads to a vicious infinite regress. Secondly, I defuse the motivation in favour of Reductionism by showing how the linguistic data can be accommodated within a Nonreductionist framework. (shrink)

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)

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.

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)

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)

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)

Responsibility is impossible because there is no responsibility-maker and there needs to be one if people are morally responsible. The two most plausible candidates, psychology and decision, fail. A person is not responsible for an unchosen psychology or a psychology that was chosen when the person is not responsible for the choice. This can be seen in intuitions about instantly-created and manipulated people. This result is further supported by the notion that, in general, the right, the good, and virtue rest (...) on the exercise of a capacity rather than the capacity itself. It is also supported by the notion that negligence is not a responsibility-maker. ​ A person is not responsible for a choice that does not reflect his psychology or that does reflect it when he is not responsible for the psychology. This can be seen by considering intuitions regarding acts that are unconnected or arbitrarily connected to a person’s psychology. It can also be seen intuitions about acts that result from a manipulated psychology. The problem with choice as a foundation can be further seen in that an infinite or self-created person would not be responsible despite these superhuman choice-related features. (shrink)

The best and most popular argument for probabilism is the accuracy-dominance argument, which purports to show that alethic considerations alone support the view that an agent’s degrees of belief should always obey the axioms of probability. I argue that extant versions of the accuracy-dominance argument face a problem. In order for the mathematics of the argument to function as advertised, we must assume that every omniscient credence function is classically consistent; there can be no worlds in the set of (...) dominance-relevant worlds that obey some other logic. This restriction cannot be motivated on alethic grounds unless we’re also willing to accept that rationality requires belief in every metaphysical necessity, as the distinction between a priori logical necessities and a posteriori metaphysical ones is not an alethic distinction. To justify the restriction to classically consistent worlds, non-alethic motivation is required. And thus, if there is a version of the accuracy-dominance argument in support of probabilism, it isn’t one that is grounded in alethic considerations alone. (shrink)

The best accuracy arguments for probabilism apply only to credence functions with finite domains, that is, credence functions that assign credence to at most finitely many propositions. This is a significant limitation. It reveals that the support for the accuracy-first program in epistemology is a lot weaker than it seems at first glance, and it means that accuracy arguments cannot yet accomplish everything that their competitors, the pragmatic (Dutch book) arguments, can. In this paper, I investigate the extent to (...) which this limitation can be overcome. Building on the best arguments in finite domains, I present two accuracy arguments for probabilism that are perfectly general—they apply to credence functions with arbitrary domains. I then discuss how the arguments’ premises can be challenged. We will see that it is particularly difficult to characterize admissible accuracy measures in infinite domains. (shrink)

This paper explains what an infinite regress argument is. Part 1 contains some examples of infinite regress arguments. Part 2 presents a schema for all such arguments an defines an infinite regress argument as one that approximates to the schema. Part 3 tests the schema on the examples. Part 4 contrasts my account of infinite regress arguments with that given by Passmore and shows that Passmore's theory succumbs to objections. Part 5 distinguishes an infinite regress (...) argument from an infinite regress and defines an infinite regress. Part 6 explains the dyslogistic force of 'infinite regress'. (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)

A common argument for atheism runs as follows: God would not create a world worse than other worlds he could have created instead. However, if God exists, he could have created a better world than this one. Therefore, God does not exist. In this paper I challenge the second premise of this argument. I argue that if God exists, our world will continue without end, with God continuing to create value-bearers, and sustaining and perfecting the value-bearers he has already created. (...) Given this, if God exists, our world—considered on the whole—is infinitely valuable. I further contend that this theistic picture makes our world's value unsurpassable. In support of this contention, I consider proposals for how infinitely valuable worlds might be improved upon, focusing on two main ways—adding value-bearers and increasing the value in present value-bearers. I argue that neither of these can improve our world. Depending on how each method is understood, either it would not improve our world, or our world is unsurpassable with respect to it. I conclude by considering the implications of my argument for the problem of evil more generally conceived. (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)

This paper provides a thorough analysis of two often informally stated claims. First, successful argumentation in the sense of persuasive argumentation requires agreement between the interlocutors about the rationality of arguments. Second, a general agreement about rationality of arguments cannot itself be established via argumentation, since such an attempt leads to an infinite meta‐regress. Hence, agreement about the rationality of arguments is a precondition for successful argumentation. As the paper argues, these plausible claims hold under the assumption that interlocutors (...) are subjectively rational and follow their own standards of rationality when engaging in argumentation. (shrink)

There is a well-known equivalence between avoiding accuracy dominance and having probabilistically coherent credences (see, e.g., de Finetti 1974, Joyce 2009, Predd et al. 2009, Pettigrew 2016). However, this equivalence has been established only when the set of propositions on which credence functions are defined is finite. In this paper, I establish connections between accuracy dominance and coherence when credence functions are defined on an infinite set of propositions. In particular, I establish the necessary results to extend the classic (...) accuracy argument for probabilism to certain classes of infinite sets of propositions including countably infinite partitions. (shrink)

This argument demonstrates that within an infinite framework of possibilities, the existence of God—a necessary, omnipotent, omniscient, and perfectly good being—is not only logically possible but metaphysically inevitable. By grounding its premises in logical coherence, probabilistic reasoning, and metaphysical necessity, the argument provides a profound exploration of existence, divinity, and humanity's role in infinite potential. It offers implications for ethical striving, collective responsibility, and the divine foundation of reality. -/- .

Purpose: This article aims to highlight key indicators of residents' quality of life in a specific contemporary building in Kruja, Albania. -/- Design/Method/Approach: A questionnaire with 30 questions was prepared for the inhabitance, and the Binary or Tobit probabilistic models were taken into consideration as part of the methodology, to conclude. The study will further analyze the implications of the inhabitants and their behavior in a specific contemporary building in the city of Kruja. It was examined the statistical significance (...) of each variable (questions) in the models elaborated with EViews 8 software. The stable models that are associated with the “Log-likelihood” statistics were statistically significant at a significance level of p < 5%, or with 95% confidence, based on the model tests. -/- Findings: The study concluded that the most statistically significant quality of life indicators part of the questionnaire is related to the typology of the apartments, methods of cooling during summer, present living conditions, apartment improvement, apartment orientation, and time spent in the living room. Furthermore, the study reveals that most of the quality-of-life indicators (part of the questionnaire) are not statistically important, so they will not be considered part of the models created in the article. The study reveals that increasing the living space and improving orientation is crucial to enhance the satisfaction of apartment inhabitants. When apartment sizes increase and orientation is improved, residents are more likely to opt for fans over air conditioners to reduce electricity costs and avoid installing additional cooling facilities during summer. They believe that better living conditions require larger apartments, additional water supply, increased electrical costs, and more time spent in the living room. The inhabitants also emphasize the importance of reducing moisture levels, decreasing window opening frequency, and increasing time spent with family. Interestingly, a one-degree improvement in summer cooling methods (e.g., switching from air blowers to air conditioning) corresponds to a one-degree improvement in winter heating methods (e.g., switching from gas to electricity), leading to a heightened need for clean electric heating. Overall, the study emphasizes the importance of meeting the physical and spatial needs of the residents to enhance their overall satisfaction and quality of life. Urban policies significantly impact housing affordability, quality, transport systems, environmental sustainability, and social equity, affecting overall living standards and economic growth. Cities must create well-designed policies that consider residents' needs and study findings to ensure sustainable development and citizen welfare. -/- Theoretical Implications: Gujarati’s (Basic Economics) theory was developed in the article. -/- Practical Implications: This study will serve as an indicator to analyze the further improvements that might occur in the specific building (not just in the city of Kruja), considering the main quality of life indicators. -/- Originality/Value: The article will serve as a base for further analysis of resident’s behavior and their social impact in the community in order to be aware of their needs for further developments in the construction field. -/- Research Limitations/Future Research: The findings depend profoundly on the type of building the residents are living in. The research stream that can be inspired by the research is strongly related to mathematical regression models, statistics, and probability. -/- Paper Type: Empirical . (shrink)

Systems of logico-probabilistic (LP) reasoning characterize inference from conditional assertions interpreted as expressing high conditional probabilities. In the present article, we investigate four prominent LP systems (namely, systems O, P, Z, and QC) by means of computer simulations. The results reported here extend our previous work in this area, and evaluate the four systems in terms of the expected utility of the dispositions to act that derive from the conclusions that the systems license. In addition to conforming to the (...) dominant paradigm for assessing the rationality of actions and decisions, our present evaluation complements our previous work, since our previous evaluation may have been too severe in its assessment of inferences to false and uninformative conclusions. In the end, our new results provide additional support for the conclusion that (of the four systems considered) inference by system Z offers the best balance of error avoidance and inferential power. Our new results also suggest that improved performance could be achieved by a modest strengthening of system Z. (shrink)

In robustness analysis, hypotheses are supported to the extent that a result proves robust, and a result is robust to the extent that we detect it in diverse ways. But what precise sense of diversity is at work here? In this paper, I show that the formal explications of evidential diversity most often appealed to in work on robustness – which all draw in one way or another on probabilistic independence – fail to shed light on the notion of (...) diversity relevant to robustness analysis. I close by briefly outlining a promising alternative approach inspired by Horwich’s (1982) eliminative account of evidential diversity. (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)

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.

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)