In this paper, I offer two counterexamples to the so-called ‘Uniqueness Thesis.’ As one of these examples rely on the thesis that it is possible for a justified belief to be based on an inconsistent body of evidence, I also offer reasons for this further thesis. On the assumption that doxastic justification entails propositional justification, the counterexamples seem to work.

The Uniqueness Thesis (U), according to Richard Feldman and Roger White, says that for a given set of evidence E and a proposition P, only one doxastic attitude about P is rational given E. Luis Rosa has recently provided two counterexamples against U which are supposed to show that even if there is a sense in which choosing between two doxastic attitudes is arbitrary, both options are equally and maximally rational. Both counterexamples work by exploiting the idea that (...) ‘ought implies can’ and trying to spell out situations in which some inferences are beyond the capabilities of some reasoners. I argue that on a descriptive account of doxastic rationality, questions of whether ‘epistemic ought implies can’ can be bracketed and that at least one of the inferential moves that Rosa describes in his cases is irrational. I further argue that a descriptive account of doxastic rationality is the appropriate notion of rationality that is to be considered when evaluating U. If my argument for a descriptive account of rationality is successful, then we have reason to revise our use of the term rationality to fit this descriptive understanding. (shrink)

This dissertation proposes and defends a hybrid view I call Hybrid Impermissivism, which combines the following two theses: Moderate Uniqueness and Credal Permissivism. Moderate Uniqueness says that no evidence could justify both believing a proposition and its negation. However, on Moderate Uniqueness, evidence could justify both believing and suspending judgement on a proposition (hence the adjective “Moderate”). And Credal Permissivism says that more than one credal attitude could be justified on the evidence. Hybrid Impermissisim is developed into (...) a precise theory by using normative bridge principles on how rational belief and credence ought to interact. My overall conclusion is that Hybrid Impermissivism is a coherent, plausible, and conciliatory position and provides a correct characterisation of the requirements of evidence on doxastic attitudes . (shrink)

I reinforce my defense of permissivism about the rationality of doxastic attitudes on the face of a certain body of evidence against criticism published in this journal by Anantharaman. After making some conceptual clarifications, I manage to show that at least one of my original arguments pro-permissivism is left unscathed by Anantharaman's points.

In recent years, permissivism—the claim that a body of evidence can rationalize more than one response—has enjoyed somewhat of a revival. But it is once again being threatened, this time by a host of new and interesting arguments that, at their core, are challenging the permissivist to explain why rationality matters. A version of the challenge that I am especially interested in is this: if permissivism is true, why should we expect the rational credences to be more accurate than the (...) irrational ones? My aim is to turn this challenge on its head and argue that, actually, those who deny permissivism will have a harder time responding to such a challenge than those who accept it. (shrink)

This paper discusses the Uniqueness Thesis, a core thesis in the epistemology of disagreement. After presenting uniqueness and clarifying relevant terms, a novel counterexample to the thesis will be introduced. This counterexample involves logical disagreement. Several objections to the counterexample are then considered, and it is argued that the best responses to the counterexample all undermine the initial motivation for uniqueness.

This paper discusses the uniqueness thesis, a core thesis in the epistemology of disagreement. After presenting uniqueness and clarifying relevant terms, a novel counterexample to the thesis will be introduced. This counterexample involves logical disagreement. Several objections to the counterexample are then considered, and it is argued that the best responses to the counterexample all undermine the initial motivation for uniqueness.

Pascal Engel (2008) has insisted that a number of notable strategies for rejecting the knowledge norm of assertion are put forward on the basis of the wrong kinds of reasons. A central aim of this paper will be to establish the contrast point: I argue that one very familiar strategy for defending the knowledge norm of assertion—viz., that it is claimed to do better in various respects than its competitors (e.g. the justification and the truth norms)— relies on a presupposition (...) that is shown to be ultimately under motivated. That presupposition is the uniqueness thesis—that there is a unique epistemic rule for assertion, and that such a rule will govern assertions uniformly. In particular, the strategy I shall take here will be to challenge the sufficiency leg of the knowledge norm in a way that at the same time counts against Williamson’s (2000) own rationale for the uniqueness thesis. However, rather than to challenge the sufficiency leg of the knowledge norm via the familiar style of ‘expert opinion’ and, more generally, ‘second-hand knowledge’ cases (e.g. Lackey (2008)), a strategy that has recently been called into question by Benton (2014), I’ll instead advance a very different line of argument against the sufficiency thesis, one which turns on a phenomenon I call epistemic hypocrisy. (shrink)

Uniqueness appears to enhance intrinsic value. A unique stamp sells for millions of dollars; Stradivarius violins are all the more precious because they are unlike any others. This observation has not gone overlooked in the value theory literature: uniqueness plays a starring role recalibrating the dominant Moorean understanding of the nature of intrinsic value. But the thesis that uniqueness enhances intrinsic value is in tension with another deeply plausible and widely held thesis, namely the (...) class='Hi'>thesis that there is a pro tanto reason to promote the good. It is argued that there is a second, distinct type of uniqueness that plays a more interesting and important axiological role: uniqueness imparts irreplaceable value. This gives occasion to develop the surprisingly undertheorized notion of irreplaceable value. (shrink)

In this paper, I aim to do three things. First, I introduce the distinction between the Uniqueness Thesis (U) and what I call the Conditional Uniqueness Thesis (U*). Second, I argue that despite their official advertisements, some prominent uniquers effectively defend U* rather than U. Third, some influential considerations that have been raised by the opponents of U misfire if they are interpreted as against U*. The moral is that an appreciation of the distinction between U (...) and U* helps to clarify the contours of the uniqueness debate and to avoid a good deal of talking past each other. (shrink)

The paper presents a new argument for epistemic permissivism. The version of permissivism that we defend is a moderate version that applies only to explicit doxastic attitudes. Drawing on Yalcin’s framework for modeling such attitudes, we argue that two fully rational subjects who share all their evidence, prior beliefs, and epistemic standards may still differ in the explicit doxastic attitudes that they adopt. This can happen because two such subjects may be sensitive to different questions. Thus, differing intellectual interests can (...) yield failures of uniqueness. This is not a merely pragmatic phenomenon. (shrink)

White, Christensen, and Feldman have recently endorsed uniqueness, the thesis that given the same total evidence, two rational subjects cannot hold different views. Kelly, Schoenfield, and Meacham argue that White and others have at best only supported the weaker, merely intrapersonal view that, given the total evidence, there are no two views which a single rational agent could take. Here, we give a new argument for uniqueness, an argument with deliberate focus on the interpersonal element of the (...) thesis. Our argument is that the best explanation of the value of promoting rationality is an explanation that entails uniqueness. (shrink)

I present an argument against the thesis of Uniqueness and in favour of Permissivism. Counterexamples to Uniqueness are provided, based on ‘Safespot’ propositions – i.e. a proposition that is guaranteed to be true provided the subject adopts a certain attitude towards it. The argument relies on a plausible principle: (roughly stated) If S knows that her believing p would be a true belief, then it is rationally permitted for S to believe p. One motivation for denying this (...) principle – viz. opposition to ‘epistemic consequentialism’ – is briefly discussed. The principle is extended to cover degrees of belief and compared with a couple of other well-known constraints on rational degrees of belief. (shrink)

In this paper I offer an argument for the view that every body of evidence rationalizes exactly one doxastic attitude to each proposition. This is the uniqueness thesis. I do this by identifying a family of explanatory demands facing permissivists, those who deny the uniqueness thesis. Permissivists have traditionally motivated their view by attempting to identify counterexamples to the uniqueness thesis. But they have not developed a more general account of when permissive cases arise, (...) and why. Permissivists cannot explain why permissive cases are permissive, or how permissive they are. The paper contains three sections. First, I identify the explanatory demands facing the permissivist. Second, I survey a few existing proposals in the literature for how these explanatory demands might be answered, and argue that they fail. In the third section, I consider how permissivists might “soften” these explanatory demands, by holding that the permissible range of attitudes has vague borders, or that we do not know where its borders lie. I argue against both options. To do this, I present a general argument that there cannot be vague deontic facts, by appealing to a dominance principle and basic principles of deontic logic. If there are no deontic facts, then the permissible range of attitudes could not have vague borders, so the explanatory demands facing the permissivist remain unanswered. (shrink)

Evidential Uniqueness is the thesis that, for any batch of evidence, there’s a unique doxastic state that a subject with that evidence should have. One of the most common kinds of objections to views that violate Evidential Uniqueness are arbitrariness objections – objections to the effect that views that don’t satisfy Evidential Uniqueness lead to unacceptable arbitrariness. The goal of this paper is to examine a variety of arbitrariness objections that have appeared in the literature, and (...) to assess the extent to which these objections bolster the case for Evidential Uniqueness. After examining a number of different arbitrariness objections, I’ll conclude that, by and large, these objections do little to bolster the case for Evidential Uniqueness. (shrink)

Kopec and Titelbaum collect five alleged counterexamples to Uniqueness, the thesis that it is impossible for agents who have the same total evidence to be ideally rational in having different doxastic attitudes toward the same proposition. I argue that four of the alleged counterexamples fail, and that Uniqueness should be slightly modified to accommodate the fifth example.

It is well known in contemporary Madhyamaka studies that the seventh century Indian philosopher Candrakīrti rejects the foundationalist Abhidharma epistemology. The question that is still open to debate is: Does Candrakīrti offer any alternative Madhyamaka epistemology? One possible way of addressing this question is to find out what Candrakīrti says about the nature of buddha’s epistemic processes. We know that Candrakīrti has made some puzzling remarks on that score. On the one hand, he claims buddha is the pramāṇabhūta-puruṣa (person of (...) epistemic and moral authority), sarvākārajñatājñānaṃ (omniscient, wise), pratyakṣalakṣaṇam (exclusively perceptual in characteristic) [Candrakīrti (MABh VI.214)], and claims that there are clearly four pramāṇas—epistemic warrants—direct perception (pratyakṣa), inference (anumāna), testimony (āgama) and analogy (upamāna) [Candrakīrti (Pp I.3), cf. MacDonald 2015, pp. 287–288]. On the other hand, somewhat paradoxically, Candrakīrti claims that buddhahood is an embodiment of a complete cessation of “mind and mental processes” [Candrakīrti (MABh XI.1, 155a; MAB XI.17d)] Now how are we to make sense of these two seemingly contradictory statements? Do these statements reflect any deeper conflicts within Candrakīrti’s system or is there a coherent way to interpret these statements? The Tibetan Prāsaṅgika interpreters of Candrakīrti’s Madhyamaka largely agree that there is no internal contradiction in Candrakīrti’s system, and agree there is a way to make coherent sense of these statements. Nevertheless, the Tibetans exegetes bring to the table two radically conflicting proposals to approach Candrakīrti’s Mādhyamaka; both claiming to successfully address the apparent tension arising from Candrakīrti’s statements. One proposal is made by Tsongkhapa Losang Dakpa (Tsong kha pa bLo bzang grags pa, 1357–1419), who maintains the tension can be plausibly resolved by demonstrating that Candrakīrti’s unique non-foundationalist epistemological program renders him an epistemological coherentist. In contrast Taktsang Lotsawa Sherap Rinchen (sTag tshang Lo tsā ba Shes rab rin chen, 1405–1477) argues that according to Candrakīrti buddha is a global agnostic, on the ground of the nonexistence of mind and mental processes for those who have attained fully awakening. Taktsang instead proposes the no-mind thesis as a more plausible way to resolve the tension in Candrakīrti’s philosophy, categorically refusing to attribute to buddha any cognitive processes and epistemic warrants. This paper is an analysis of Taktsang’s no-mind thesis—the claim that buddhas utterly lack any knowledge of the world because they do not have epistemic processes and warrants to perceive the world—in what follows a rational reconstruction of his arguments is developed in order to evaluate his thesis. We shall then assess the implications of accepting Taktsang’s no-mind thesis. (shrink)

Abstract. Richard Feldman’s Uniqueness Thesis holds that “a body of evidence justifies at most one proposition out of a competing set of proposi- tions”. The opposing position, permissivism, allows distinct rational agents to adopt differing attitudes towards a proposition given the same body of evidence. We assess various motivations that have been offered for Uniqueness, including: concerns about achieving consensus, a strong form of evidentialism, worries about epistemically arbitrary influences on belief, a focus on truth-conduciveness, and consequences (...) for peer disagreement. We argue that each of these motivations either misunderstands the commitments of permissivism or is question-begging. Better understanding permissivism makes it a much more plausible position. (shrink)

In this paper I argue for a version of the Total Evidence view according to which the rational response to disagreement depends upon one's total evidence. I argue that perceptual evidence of a certain kind is significantly weightier than many other types of evidence, including testimonial. Furthermore, what is generally called "The Uniqueness Thesis" is actually a conflation of two distinct principles that I dub "Evidential Uniqueness" and "Rationality Uniqueness." The former principle is likely true but (...) the latter almost certainly false. Seeing why the Rationality Uniqueness fails opens the door to seeing how mutual reasonable disagreement is possible even among those who share the same evidence. (shrink)

The purpose of this paper is to challenge what is often called the “Uniqueness” thesis. According to this thesis, given one’s total evidence, there is a unique rational doxastic attitude that one can take to any proposition. It is sensible for defenders of Uniqueness to commit to an accompanying principle that: when some agent A has equal epistemic reason both to believe that p and to believe that not p, the unique epistemically rational doxastic attitude for (...) A to adopt with respect to whether p is the suspension of judgment. In this paper, I offer a case wherein the agent has equal epistemic reason both to believe that p and to believe that not p, but the agent is not epistemically required to suspend judgment about whether p. Furthermore, the case is such that there seems to be no uniquely rational attitude for the agent to adopt. (shrink)

Recently, a number of epistemologists (notably Feldman [2007], [2009] and White [2005], [2013]) have argued for the rational uniqueness thesis, the principle that any set of evidence permits only one rationally acceptable attitude toward a given proposition. In contrast, this paper argues for extreme rational permissivism, the view that two agents with the same evidence may sometimes arrive at contradictory beliefs rationally. This paper identifies different versions of uniqueness and permissivism that vary in strength and range, argues (...) that evidential peers with different interests need not rationally endorse all the same hypotheses, argues that evidential peers who weigh the theoretic virtues differently can sometimes rationally endorse contradictory conclusions, and finally defends the permissivist appeal to standards against objections in the works of Feldman and White. (shrink)

Though there is a wide and varied literature on ethical supererogation, there has been almost nothing written about its epistemic counterpart, despite an intuitive analogy between the two fields. This paper seeks to change this state of affairs. I will begin by showing that there are examples which intuitively feature epistemically supererogatory doxastic states. Next, I will present a positive theory of epistemic supererogation that can vindicate our intuitions in these examples, in an explanation that parallels a popular theory of (...) ethical supererogation. Roughly, I will argue that a specific type of epistemic virtue—the ability to creatively think up plausible hypotheses given a body of evidence—is not required of epistemic agents. Thus, certain exercises of this virtue can result in supererogatory doxastic states. In presenting this theory, I will also show how thinking about epistemic supererogation can provide us a new way forward in the debate about the uniqueness thesis for epistemic rationality. (shrink)

Permissivism is the thesis that, for some body of evidence and a proposition p, there is more than one rational doxastic attitude any agent with that evidence can take toward p. Proponents of uniqueness deny permissivism, maintaining that every body of evidence always determines a single rational doxastic attitude. In this paper, we explore the debate between permissivism and uniqueness about evidence, outlining some of the major arguments on each side. We then consider how permissivism can be (...) understood as an underdetermination thesis, and show how this moves the debate forward in fruitful ways: in distinguishing between different types of permissivism, in dispelling classic objections to permissivism, and in shedding light on the relationship between permissivism and evidentialism. (shrink)

One famous debate in contemporary epistemology considers whether there is always one unique, epistemically rational way to respond to a given body of evidence. Generally speaking, answering “yes” to this question makes one a proponent of the Uniqueness thesis, while those who answer “no” are called “permissivists”. Another influential recent debate concerns whether non-truth-related factors can be the basis of epistemic justification, knowledge, or rational belief. Traditional theories answer “no”, and are therefore considered “purists”. However, more recently many (...) theorists have argued to the contrary, claiming that impurist factors, such as practical stakes, can sometimes encroach or even override truth-related considerations. This paper bridges the two debates by presenting and defending what I call “Impurist Permissivism”. I support Impurist Permissivism by showing how it can resist Roger White’s famous Argument from Arbitrariness (2005). (shrink)

Robert Aumann presents his Agreement Theorem as the key conditional: “if two people have the same priors and their posteriors for an event A are common knowledge, then these posteriors are equal” (Aumann, 1976, p. 1236). This paper focuses on four assumptions which are used in Aumann’s proof but are not explicit in the key conditional: (1) that agents commonly know, of some prior μ, that it is the common prior; (2) that agents commonly know that each of them updates (...) on the prior by conditionalization; (3) that agents commonly know that if an agent knows a proposition, she knows that she knows that proposition (the “K K” principle); (4) that agents commonly know that they each update only on true propositions. It is shown that natural weakenings of any one of these strong assumptions can lead to countermodels to Aumann’s key conditional. Examples are given in which agents who have a common prior and commonly know what probability they each assign to a proposition nevertheless assign that proposition unequal probabilities. To alter Aumann’s famous slogan: people can “agree to disagree”, even if they share a common prior. The epistemological significance of these examples is presented in terms of their role in a defense of the Uniqueness Thesis: If an agent whose total evidence is E is fully rational in taking doxastic attitude D to P, then necessarily, any subject with total evidence E who takes a different attitude to P is less than fully rational. (shrink)

Jim Joyce argues for two amendments to probabilism. The first is the doctrine that credences are rational, or not, in virtue of their accuracy or “closeness to the truth” (1998). The second is a shift from a numerically precise model of belief to an imprecise model represented by a set of probability functions (2010). We argue that both amendments cannot be satisfied simultaneously. To do so, we employ a (slightly-generalized) impossibility theorem of Seidenfeld, Schervish, and Kadane (2012), who show that (...) there is no strictly proper scoring rule for imprecise probabilities. -/- The question then is what should give way. Joyce, who is well aware of this no-go result, thinks that a quantifiability constraint on epistemic accuracy should be relaxed to accommodate imprecision. We argue instead that another Joycean assumption — called strict immodesty— should be rejected, and we prove a representation theorem that characterizes all “mildly” immodest measures of inaccuracy. (shrink)

This paper claims that there is no such thing as the correct answer to the question of what is logical form: two significantly different notions of logical form are needed to fulfil two major theoretical roles that pertain respectively to logic and semantics. The first part of the paper outlines the thesis that a unique notion of logical form fulfils both roles, and argues that the alleged best candidate for making it true is unsuited for one of the two (...) roles. The second part spells out a considerably different notion which is free from that problem, although it does not fit the other role. As it will be suggested, each of the two notions suits at most one role, so the uniqueness thesis is ungrounded. (shrink)

We often learn the opinions of others without hearing the evidence on which they're based. The orthodox Bayesian response is to treat the reported opinion as evidence itself and update on it by conditionalizing. But sometimes this isn't feasible. In these situations, a simpler way of combining one's existing opinion with opinions reported by others would be useful, especially if it yields the same results as conditionalization. We will show that one method---upco, also known as multiplicative pooling---is specially suited to (...) this role when the opinions you wish to pool concern hypotheses about chances. The result has interesting consequences: it addresses the problem of disagreement between experts; and it sheds light on the social argument for the uniqueness thesis. (shrink)

In the core chapters 4–6, Iacona (2018) argues against the “Uniqueness Thesis” (UT), stating that “there is a unique notion of logical form that fulfils both the logical role and the semantic role” (39), where the former “concerns the formal explanation of logical properties and logical relations, such as validity or contradiction” (37), and the latter “concerns the formulation of a compositional theory of meaning” (ibid.). He argues for this on the basis of relations of coreference among referential (...) expressions, names and indexicals. From what I take to be a fundamental agreement on most relevant issues, here I will nonetheless press him to clarify the notions of intrinsicness and the logical and semantic role of logical form on which he relies. (shrink)

If the reliability of a source of testimony is open to question, it seems epistemically illegitimate to verify the source’s reliability by appealing to that source’s own testimony. Is this because it is illegitimate to trust a questionable source’s testimony on any matter whatsoever? Or is there a distinctive problem with appealing to the source’s testimony on the matter of that source’s own reliability? After distinguishing between two kinds of epistemically illegitimate circularity—bootstrapping and self-verification—I argue for a qualified version of (...) the claim that there is nothing especially illegitimate about using a questionable source to evaluate its own reliability. Instead, it is illegitimate to appeal to a questionable source’s testimony on any matter whatsoever, with the matter of the source’s own reliability serving only as a special case. (shrink)

Much of our information comes to us indirectly, in the form of conclusions others have drawn from evidence they gathered. When we hear these conclusions, how can we modify our own opinions so as to gain the benefit of their evidence? In this paper we study the method known as geometric pooling. We consider two arguments in its favour, raising several objections to one, and proposing an amendment to the other.

While the epistemic significance of disagreement has been a popular topic in epistemology for at least a decade, little attention has been paid to logical disagreement. This monograph is meant as a remedy. The text starts with an extensive literature review of the epistemology of (peer) disagreement and sets the stage for an epistemological study of logical disagreement. The guiding thread for the rest of the work is then three distinct readings of the ambiguous term ‘logical disagreement’. Chapters 1 and (...) 2 focus on the Ad Hoc Reading according to which logical disagreements occur when two subjects take incompatible doxastic attitudes toward a specific proposition in or about logic. Chapter 2 presents a new counterexample to the widely discussed Uniqueness Thesis. Chapters 3 and 4 focus on the Theory Choice Reading of ‘logical disagreement’. According to this interpretation, logical disagreements occur at the level of entire logical theories rather than individual entailment-claims. Chapter 4 concerns a key question from the philosophy of logic, viz., how we have epistemic justification for claims about logical consequence. In Chapters 5 and 6 we turn to the Akrasia Reading. On this reading, logical disagreements occur when there is a mismatch between the deductive strength of one’s background logic and the logical theory one prefers (officially). Chapter 6 introduces logical akrasia by analogy to epistemic akrasia and presents a novel dilemma. Chapter 7 revisits the epistemology of peer disagreement and argues that the epistemic significance of central principles from the literature are at best deflated in the context of logical disagreement. The chapter also develops a simple formal model of deep disagreement in Default Logic, relating this to our general discussion of logical disagreement. The monograph ends in an epilogue with some reflections on the potential epistemic significance of convergence in logical theorizing. (shrink)

The central thesis of this paper is that the scope and structure of Hume's Treatise of Human Nature is modelled, or planned, after that of Hobbes's The Elements of Law and that in this respect there exists an important and unique relationship between these works. This relationship is of some importance for at least two reasons. First, it is indicative of the fundamental similarity between Hobbes's and Hume's project of the study of man. Second, and what is more important, (...) by recognizing this relationship between Hume's and Hobbes's works we can come to appreciate the unity of the project of the Treatise itself. My discussion will proceed in three stages. In section I present the evidence for my central thesis. In the second section I shall consider why Hume does not, as one might expect, acknowledge this important debt to Hobbes in the Introduction to the Treatise or in the Abstract. Finally, in the third section I shall note a few points of some importance to the understanding of Hume's philosophy which this relationship between Hobbes's and Hume's work touches upon. (shrink)

David Lewis (1974, 1994/1999) proposed to reduce the facts about mental representation to facts about sensory evidence, dispositions to act, and rationality. Recently, Robert Williams (2020) and Adam Pautz (2021) have taken up and developed Lewis’s project in sophisticated and novel ways. In this paper, we aim to present, clarify, and ultimately object to the core thesis that they all build their own views around. The different sophisticated developments and defenses notwithstanding, we think the core thesis is vulnerable. (...) We pose a dilemma by considering the two sides of a current epistemological controversy over the relation between evidence and rational belief: permissivism vs. uniqueness. As we argue, the prospects for the Lewisian project look dim when either supposition is clearly made. (shrink)

The thesis deals with the concept of truth and the paradoxes of truth. Philosophical theories usually consider the concept of truth from a wider perspective. They are concerned with questions such as - Is there any connection between the truth and the world? And, if there is - What is the nature of the connection? Contrary to these theories, this analysis is of a logical nature. It deals with the internal semantic structure of language, the mutual semantic connection of (...) sentences, above all the connection of sentences that speak about the truth of other sentences and sentences whose truth they speak about. Truth paradoxes show that there is a problem in our basic understanding of the language meaning and they are a test for any proposed solution. It is important to make a distinction between the normative and analytical aspect of the solution. The former tries to ensure that paradoxes will not emerge. The latter tries to explain paradoxes. Of course, the practical aspect of the solution is also important. It tries to ensure a good framework for logical foundations of knowledge, for related problems in Artificial Intelligence and for the analysis of the natural language. Tarski’s analysis emphasized the T-scheme as the basic intuitive principle for the concept of truth, but it also showed its inconsistency with the classical logic. Tarski’s solution is to preserve the classical logic and to restrict the scheme: we can talk about the truth of sentences of a language only inside another essentially richer metalanguage. This solution is in harmony with the idea of reflexivity of thinking and it has become very fertile for mathematics and science in general. But it has normative nature | truth paradoxes are avoided in a way that in such frame we cannot even express paradoxical sentences. It is also too restrictive because, for the same reason we cannot express a situation in which there is a circular reference of some sentences to other sentences, no matter how common and harmless such a situation may be. Kripke showed that there is no natural restriction to the T-scheme and we have to accept it. But then we must also accept the riskiness of sentences | the possibility that under some circumstances a sentence does not have the classical truth value but it is undetermined. This leads to languages with three-valued semantics. Kripke did not give any definite model, but he gave a theoretical frame for investigations of various models | each fixed point in each three-valued semantics can be a model for the concept of truth. The solutions also have normative nature | we can express the paradoxical sentences, but we escape a contradiction by declaring them undetermined. Such a solution could become an analytical solution only if we provide the analysis that would show in a substantial way that it is the solution that models the concept of truth. Kripke took some steps in the direction of finding an analytical solution. He preferred the strong Kleene three-valued semantics for which he wrote it was "appropriate" but did not explain why it was appropriate. One reason for such a choice is probably that Kripke finds paradoxical sentences meaningful. This eliminates the weak Kleene three valued semantics which corresponds to the idea that paradoxical sentences are meaningless, and thus indeterminate. Another reason could be that the strong Kleene three valued semantics has the so-called investigative interpretation. According to this interpretation, this semantics corresponds to the classical determination of truth, whereby all sentences that do not have an already determined value are temporarily considered indeterminate. When we determine the truth value of these sentences, then we can also determine the truth value of the sentences that are composed of them. Kripke supplemented this investigative interpretation with an intuition about learning the concept of truth. That intuition deals with how we can teach someone who is a competent user of an initial language (without the predicate of truth T) to use sentences that contain the predicate T. That person knows which sentences of the initial language are true and which are not. We give her the rule to assign the T attribute to the former and deny that attribute to the latter. In that way, some new sentences that contain the predicate of truth, and which were indeterminate until then, become determinate. So the person gets a new set of true and false sentences with which he continues the procedure. This intuition leads directly to the smallest fixed point of strong Kleene semantics as an analytically acceptable model for the logical notion of truth. However, since this process is usually saturated only on some transfinite ordinal, this intuition, by climbing on ordinals, increasingly becomes a metaphor. This thesis is an attempt to give an analytical solution to truth paradoxes. It gives an analysis of why and how some sentences lack the classical truth value. The starting point is basic intuition according to which paradoxical sentences are meaningful (because we understand what they are talking about well, moreover we use it for determining their truth values), but they witness the failure of the classical procedure of determining their truth value in some "extreme" circumstances. Paradoxes emerge because the classical procedure of the truth value determination does not always give a classically supposed (and expected) answer. The analysis shows that such an assumption is an unjustified generalization from common situations to all situations. We can accept the classical procedure of the truth value determination and consequently the internal semantic structure of the language, but we must reject the universality of the exterior assumption of a successful ending of the procedure. The consciousness of this transforms paradoxes to normal situations inherent to the classical procedure. Some sentences, although meaningful, when we evaluate them according to the classical truth conditions, the classical conditions do not assign them a unique value. We can assign to them the third value, \undetermined", as a sign of definitive failure of the classical procedure. An analysis of the propagation of the failure in the structure of sentences gives exactly the strong Kleene three-valued semantics, not as an investigative procedure, as it occurs in Kripke, but as the classical truth determination procedure accompanied by the propagation of its own failure. An analysis of the circularities in the determination of the classical truth value gives the criterion of when the classical procedure succeeds and when it fails, when the sentences will have the classical truth value and when they will not. It turns out that the truth values of sentences thus obtained give exactly the largest intrinsic fixed point of the strong Kleene three-valued semantics. In that way, the argumentation is given for that choice among all fixed points of all monotone three-valued semantics for the model of the logical concept of truth. An immediate mathematical description of the fixed point is given, too. It has also been shown how this language can be semantically completed to the classical language which in many respects appears a natural completion of the process of thinking about the truth values of the sentences of a given language. Thus the final model is a language that has one interpretation and two systems of sentence truth evaluation, primary and final evaluation. The language through the symbol T speaks of its primary truth valuation, which is precisely the largest intrinsic fixed point of the strong Kleene three valued semantics. Its final truth valuation is the semantic completion of the first in such a way that all sentences that are not true in the primary valuation are false in the final valuation. (shrink)

This thesis investigates transnational macro-narrative decendancy in violent conflicts and identifies enabling dynamics that facilitate re-framing. To date there has been little focus on processes involved, explicitly narrative descendancy, bridging, resonance building, or grafting, representing a critical knowledge gap. -/- This thesis reviews relevant literature on constructivism and rational choice theory and tests the findings against an empirical case study in Central Sulawesi. The findings demonstrate a mixture of approaches is present, though this is likely due to a (...) range of dynamics unique to the conflict. The results have high relevance to policy makers and academics across security and conflict disciplines. (shrink)

This paper considers whether an analogy between distance and dissimilarlity supports the thesis that degree of dissimilarity is distance in a metric space. A straightforward way to justify the thesis would be to define degree of dissimilarity as a function of number of properties in common and not in common. But, infamously, this approach has problems with infinity. An alternative approach would be to prove representation and uniqueness theorems, according to which if comparative dissimilarity meets certain qualitative (...) conditions, then it is representable by distance in a metric space. I will argue that this approach faces equally severe problems with infinity. (shrink)

This thesis investigates Habermas's attempt to establish a credible form of universalism in moral and political philosophy by means of the theoretical approach which he terms "discourse ethics." The central question motivating this study is whether Habermas succeeds in this ambition. Discourse ethics specifies a procedure which purports to enable all agents involved in a conflict of interest in which issues of justice are at stake to come to a rational and cooperative resolution. It proposes a position unique among (...) contemporary approaches to justice in the strength and character of its anti-relativist stance: the plurality of human cultures and the situated character of human understanding do not, according to this theory, bar the way to arriving at a minimal form of moral universalism. Although the procedure specified in communicative ethics elucidates only a narrow range of concerns--those pertaining to justice in the strict sense--it aims to do so in a way valid across all human cultures. ;Habermas's strategy for the defence of a species-wide moral universalism is, I argue, both the key feature of his position, and the least well understood. Discussion of discourse ethics to date has focussed almost exclusively on the question of its appropriateness to the context of modern, Western pluralism. An important reason for this focus has been the intricacy of Habermas's argumentative strategy, which links the recent work on discourse ethics to his longstanding project of developing a theory of communicative action. ;The principle aim of this thesis is to clarify Habermas's position by explicating his programme of justification. In so doing, I draw attention to several problems in his approach as a mechanism for cross-cultural conflict adjudication, and endeavour to provide a more perspicuous account of the relation of Habermas's theory to its main philosophical competitors, especially Rawlsian deontology, and contextualism. (shrink)

Are there any things that are such that any things whatsoever are among them. I argue that there are not. My thesis follows from these three premises: (1) There are two or more things; (2) for any things, there is a unique thing that corresponds to those things; (3) for any two or more things, there are fewer of them than there are pluralities of them.

PLEASE NOTE: This is the corrected 2nd eBook edition, 2021. ●●●●● _Critique of Impure Reason_ has now also been published in a printed edition. To reduce the otherwise high price of this scholarly, technical book of nearly 900 pages and make it more widely available beyond university libraries to individual readers, the non-profit publisher and the author have agreed to issue the printed edition at cost. ●●●●● The printed edition was released on September 1, 2021 and is now available through (...) all booksellers, including Barnes & Noble, Amazon, and brick-and-mortar bookstores under ISBN 978-0-578-88646-6. ●●●●● In light of the length of this book, readers who would like to have a more detailed description of the book's objectives and method may find it helpful to read the detailed and clearly written Wikipedia entry about this work: From the Wikipedia search page, use the search phrase "Critique of Impure Reason". At least at the time of this writing (11/29/2021), the Wikipedia entry is well-researched and accurate. ●●●●● In addition, a "Primer on Bartlett's CRITIQUE OF IMPURE REASON" has been made available by the author. It is available under its title through PhilPapers and other philosophy online archives. ●●●●● COMMENDATIONS OF THIS WORK, from the back cover of the published edition: ●●●●● “I admire its range of philosophical vision.” – Nicholas Rescher, Distinguished University Professor of Philosophy, University of Pittsburgh, author of more than 100 books. ●●●●● “Bartlett’s _Critique of Impure Reason_ is an impressive, bold, and ambitious work. Careful scholarship is balanced by original analyses that lead the reader to recognize the limits of meaning, knowledge, and conceptual possibility. The work addresses a host of traditional philosophical problems, among them the nature of space, time, causality, consciousness, the self, other minds, ontology, free will and determinism, and others. The book culminates in a fascinating and profound new understanding of relativity physics and quantum theory.” – Gerhard Preyer, Professor of Philosophy, Goethe-University, Frankfurt am Main, Germany, author of many books including _Concepts of Meaning_, _Beyond Semantics and Pragmatics_, _Intention and Practical Thought_, and _Contextualism in Philosophy_. ●●●●● “[This work’s] goal is of a unique and difficult species: Dr. Bartlett seeks to develop a formal logical calculus on the basis of transcendental philosophical arguments; in fact, he hopes that this calculus will be the formal expression of the transcendental foundation of knowledge.... I consider Dr. Bartlett’s work soundly conceived and executed with great skill.” – C. F. von Weizsäcker, philosopher and physicist, former Director, Max-Planck-Institute, Starnberg, Germany. ●●●●● “Bartlett has written an American “Prolegomena to All Future Metaphysics.” He aims rigorously to eliminate meaningless assertions, reach bedrock, and place philosophy on a firm foundation that will enable it, like science and mathematics, to produce lasting results that generations to come can build on. This is a great book, the fruit of a lifetime of research and reflection, and it deserves serious attention.” — Martin X. Moleski, former Professor, Canisius College, Buffalo, NY, studies of scientific method, the presuppositions of thought, and the self-referential nature of epistemology. ●●●●● “Bartlett has written a book on what might be called the underpinnings of philosophy. It has fascinating depth and breadth, and is all the more striking due to its unifying perspective based on the concepts of reference and self-reference.” – Don Perlis, Professor of Computer Science, University of Maryland, author of numerous publications on self-adjusting autonomous systems and philosophical issues concerning self-reference, mind, and consciousness. ●●●●● ●●●●● The _Critique of Impure Reason: Horizons of Possibility and Meaning_ comprises a major and important contribution to philosophy. Thanks to the generosity of its publisher, this massive 885-page volume has been published as a free open access eBook (3.75MB) as well as an open access printed edition. It inaugurates a revolutionary paradigm shift in philosophical thought by providing compelling and long-sought-for solutions to a wide range of philosophical problems. In the process, the work fundamentally transforms the way in which the concepts of reference, meaning, and possibility are understood. The book includes a Foreword by the celebrated German philosopher and physicist Carl Friedrich von Weizsäcker. ●●●●● In Kant’s _Critique of Pure Reason_ we find an analysis of the preconditions of experience and of knowledge. In contrast, but yet in parallel, the new _Critique_ focuses upon the ways—unfortunately very widespread and often unselfconsciously habitual—in which many of the concepts that we employ _conflict_ with the very preconditions of meaning and of knowledge. ●●●●● This is a book about the boundaries of frameworks and about the unrecognized conceptual confusions in which we become entangled when we attempt to transgress beyond the limits of the possible and meaningful. We tend either not to recognize or not to accept that we all-too-often attempt to trespass beyond the boundaries of the frameworks that make knowledge possible and the world meaningful. ●●●●● The _Critique of Impure Reason_ proposes a bold, ground-breaking, and startling thesis: that a great many of the major philosophical problems of the past can be solved through the recognition of a viciously deceptive form of thinking to which philosophers as well as non-philosophers commonly fall victim. For the first time, the book advances and justifies the criticism that a substantial number of the questions that have occupied philosophers fall into the category of “impure reason,” violating the very conditions of their possible meaningfulness. ●●●●● The purpose of the study is twofold: first, to enable us to recognize the boundaries of what is referentially forbidden—the limits beyond which reference becomes meaningless—and second, to avoid falling victims to a certain broad class of conceptual confusions that lie at the heart of many major philosophical problems. As a consequence, the boundaries of _possible meaning_ are determined. ●●●●● Bartlett, the author or editor of more than 20 books, is responsible for identifying this widespread and delusion-inducing variety of error, _metalogical projection_. It is a previously unrecognized and insidious form of erroneous thinking that undermines its own possibility of meaning. It comes about as a result of the pervasive human compulsion to seek to transcend the limits of possible reference and meaning. ●●●●● Based on original research and rigorous analysis combined with extensive scholarship, the _Critique of Impure Reason_ develops a self-validating method that makes it possible to recognize, correct, and eliminate this major and pervasive form of fallacious thinking. In so doing, the book provides at last provable and constructive solutions to a wide range of major philosophical problems. ●●●●● CONTENTS AT A GLANCE ▪▪▪▪▪ Preface ▪▪▪▪▪ Foreword by Carl Friedrich von Weizsäcker ▪▪▪▪▪ Acknowledgments ▪▪▪▪▪ Avant-propos: A philosopher’s rallying call ▪▪▪▪▪ Introduction ▪▪▪▪▪ A note to the reader ▪▪▪▪▪ A note on conventions ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART I ▪▪▪▪▪ ▪▪▪▪▪ WHY PHILOSOPHY HAS MADE NO PROGRESS AND HOW IT CAN ▪▪▪▪▪ 1 Philosophical-psychological prelude ▪▪▪▪▪ 2 Putting belief in its place: Its psychology and a needed polemic ▪▪▪▪▪ 3 Turning away from the linguistic turn: From theory of reference to metalogic of reference ▪▪▪▪▪ 4 The stepladder to maximum theoretical generality ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART II ▪▪▪▪▪ THE METALOGIC OF REFERENCE ▪▪▪▪▪ A New Approach to Deductive, Transcendental Philosophy ▪▪▪▪▪ 5 Reference, identity, and identification ▪▪▪▪▪ 6 Self-referential argument and the metalogic of reference ▪▪▪▪▪ 7 Possibility theory ▪▪▪▪▪ 8 Presupposition logic, reference, and identification ▪▪▪▪▪ 9 Transcendental argumentation and the metalogic of reference ▪▪▪▪▪ 10 Framework relativity ▪▪▪▪▪ 11 The metalogic of meaning ▪▪▪▪▪ 12 The problem of putative meaning and the logic of meaninglessness ▪▪▪▪▪ 13 Projection ▪▪▪▪▪ 14 Horizons ▪▪▪▪▪ 15 De-projection ▪▪▪▪▪ 16 Self-validation ▪▪▪▪▪ 17 Rationality: Rules of admissibility ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART III ▪▪▪▪▪ PHILOSOPHICAL APPLICATIONS OF THE METALOGIC OF REFERENCE ▪▪▪▪▪ Major Problems and Questions of Philosophy and the Philosophy of Science ▪▪▪▪▪ 18 Ontology and the metalogic of reference ▪▪▪▪▪ 19 Discovery or invention in general problem-solving, mathematics, and physics ▪▪▪▪▪ 20 The conceptually unreachable: “The far side” ▪▪▪▪▪ 21 The projections of the external world, things-in-themselves, other minds, realism, and idealism ▪▪▪▪▪ 22 The projections of time, space, and space-time ▪▪▪▪▪ 23 The projections of causality, determinism, and free will ▪▪▪▪▪ 24 Projections of the self and of solipsism ▪▪▪▪▪ 25 Non-relational, agentless reference and referential fields ▪▪▪▪▪ 26 Relativity physics as seen through the lens of the metalogic of reference ▪▪▪▪▪ 27 Quantum theory as seen through the lens of the metalogic of reference ▪▪▪▪▪ 28 Epistemological lessons learned from and applicable to relativity physics and quantum theory ▪▪▪▪▪ ▪▪▪▪▪ PART IV ▪▪▪▪▪ HORIZONS ▪▪▪▪▪ 29 Beyond belief ▪▪▪▪▪ 30 _Critique of Impure Reason_: Its results in retrospect ▪▪▪▪▪ ▪▪▪▪▪ SUPPLEMENT ▪▪▪▪▪ The Formal Structure of the Metalogic of Reference ▪▪▪▪▪ APPENDIX I ▪▪▪▪▪ The Concept of Horizon in the Work of Other Philosophers ▪▪▪▪▪ APPENDIX II ▪▪▪▪▪ Epistemological Intelligence ▪▪▪▪▪ References ▪▪▪▪▪ Index ▪▪▪▪▪ About the author. 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By reconsidering all the available sources (from Simon du Val’s inquisitorial summons of November 1276 to the Continuatio brabantina, from the Fiore to the X canto of Dante’s Paradiso, from William of Tocco to Peckham’s letters) the article calls into question the thesis – still widely shared – according to which Siger of Brabant died in Italy, and more precisely in Orvieto, at the Papal Court, before November 1284. Above all, from a doctrinal point of view, it shows how (...) it is completely implausible that Peckham could refer to Siger of Brabant when, in his letter to the University of Oxford of November 10, 1284, he mentions two Seculars as the main defenders or ‘inventors’ of the thesis of the uniqueness of the substantial form in the human compound. The end of Siger in Italy could thus be, for the most part, a ‘black legend’, like that of the poisoning of Thomas Aquinas on behalf of Charles of Anjou. The article closes by showing some possible implications, even of a methodological nature, of this different approach. (shrink)

This thesis explores the concept of timbre through the lens of analytic philosophical aesthetics and philosophy of music. I argue that timbre should be thought of as providing the grounds for artistic and aesthetic values in music. To this end and firstly, I critique the physical sense of timbre in favour of two anti-realist senses of timbre. These two are the qualitative and the semantic senses which are developed from two of Siedenburg and McAdams’ four senses of timbre. I (...) argue that the qualitative sense of timbre is the experience of the unique qualities of sounds. The semantic sense is that which associates timbres to objects and concepts. Within the semantic sense, I argue for what I call a genealogical sense of timbre which relates timbres to sources and concepts through a history of built up associations. Secondly, these two senses are situated within the artform of music by demonstrating the functions they may fulfil there and how these ground artistic and aesthetic values. Regarding these values, I employ Robert Stecker’s definitions of artistic and aesthetic value. Finally, I summarise the two arguments for why we should think that timbre can provide grounds for aesthetic and artistic value in music. (shrink)

The extended mind thesis states that the mind is not brain-bound but extends into the physical world. The philosophical debate around the thesis has mostly focused on extension towards epistemic artefacts, treating the phenomenon as a special capacity of the human organism to recruit external physical resources to solve individual tasks. This paper argues that if the mind extends to artefacts in the pursuit of individual tasks, it extends to other humans in the pursuit of collective tasks. Mind (...) extension to other humans corresponds essentially to the ‘we-mode’ of cognition, the unique power of human minds to be jointly directed at goals, intentions, states of affairs, or values. Because the capacity for collective intentionality holds evolutionary and developmental primacy over human-epistemic artefacts relations, the extended mind should not be seen as a special phenomenon, but as a central aspect of the human condition. The original extended mind thesis carried important implications for how the cognitive sciences should proceed. In a version of the thesis that accommodates collective intentionality, these implications would go far deeper than originally assumed. (shrink)

This thesis examines the key moral principles that should govern decision-making by police and military when using lethal force. To this end, it provides an ethical analysis of the following question: Under what circumstances, if any, is it morally justified for the agents of state-sanctioned security institutions to use lethal force, in particular the police and the military? Recent literature in this area suggests that modern conflicts involve new and unique features that render conventional ways of thinking about the (...) ethics of armed conflict, and the use of lethal force, as inadequate or redundant. In particular, there is an increased concern with the moral difficulties created by “non-standard” cases. This is where the police or military are obliged to operate outside their conventional contexts. In such non-standard cases, on what moral basis can (or should) state actors – especially the police and military – use lethal force? One approach argues that there is nothing morally exceptional about the use of lethal force by police or military. This says the only available moral justification for using lethal force is killing in self-defence or defence of others. In contrast, I use an institutional approach to develop a moral framework for the state’s morally exceptional use of lethal force. The institutional approach is concerned with the ends (telos) or purpose of a social institution. It says that the moral purpose of a social institution alters the moral responsibilities of its agents; what is referred to as role morality. My analysis demonstrates that there is an important moral distinction between justified killing in self-defence and state-sanctioned uses of lethal force. My claim is that police and military uses of lethal force are not morally justified in the same way as the average person’s use of lethal force (i.e. self-defence or defence of others). Instead, I argue that the state-sanctioned institutional role of police and military give these state actors special moral duties, and therefore exceptional moral justification, for using lethal force. I argue that the institutional end of the police is the preservation of public safety. This includes using lethal force where it is necessary to protect life and prevent serious injury to jurisdictional inhabitants. In contrast, a morally responsible state uses military force to defend the “common good.” That is, when it is necessary to defend the peaceful functioning of a state from armed threats or other forms of political violence. I then conclude that non-standard cases require the addition of jus ad vim (or the just use of military force short-of-war) as a hybrid element to the moral framework for the state-sanctioned use of lethal force. This provides a better way of applying ethics to the use of military force when defending the common good against serious threats in non-standard cases. This is because jus ad vim complements the conventional military paradigm by permitting the use of military capabilities to defend the common good. But, at the same time, it inhibits the move towards the more destructive levels of violence characteristic of conventional warfighting. (shrink)

The extended mind thesis maintains that the functional contributions of tools and artefacts can become so essential for our cognition that they can be constitutive parts of our minds. In other words, our tools can be on a par with our brains: our minds and cognitive processes can literally ‘extend’ into the tools. Several extended mind theorists have argued that this ‘extended’ view of the mind offers unique insights into how we understand, assess, and treat certain cognitive conditions. In (...) this chapter we suggest that using AI extenders, i.e., tightly coupled cognitive extenders that are imbued with machine learning and other ‘artificially intelligent’ tools, presents both new ethical challenges and opportunities for mental health. We focus on several mental health conditions that can develop differently by the use of AI extenders for people with cognitive disorders and then discuss some of the related opportunities and challenges. (shrink)

This thesis focuses on a philosophical analysis of literature. The central question is: when making moral choices in a forced labor camp, what options remain? Hannah Arendt has written about the forced labor, concentration and extermination camps as the central institutions of totalitarianism, where the project of complete destruction of unwanted human beings is carried out; the end result is the removal of spontaneity and uniqueness in people. We join Arendt’s insights with those of Richard Rorty who employed (...) the concept of unmaking a person’s world in his discussion of Orwell’s 1984. A synthesis of their ideas highlights the importance of language and the freedom of narrativity for countering the elimination of spontaneity (Rorty emphasized the importance of redescription). Chapter 3 uses this synthesis for analyzing the Gulag stories of an Estonian writer, Jaan Kross. Our reading of the stories “Vürst” and “Halleluuja” outlines the concept of playfulness which employs independent redescription of the characters themselves and the situation, and upholds the inmates’ freedom of narrativity and spontaneity. This playfulness emerges in theatricality, bravura, distance from the situation and its script (the distance-keeping has a notable parallel to Rorty’s concept of irony), enacting the unexpected, and playing with risks and possibilities. (shrink)

Dharmakīrti’s (c. seventh century) Examination of Relations (Sambandhaparīkṣā) is unique in the Indian Buddhist canon for its being the only extant root text devoted entirely to the topic of the ontological status of relations. But the core thesis of this treatise—that relations are only nominally real—is in prima facie tension with another claim that is central to Dharmakīrti’s epistemology: that there exists some kind of “natural relation” (svabhāvapratibandha) that reliably underwrites inferences. Understanding how Dharmakīrti can consistently rely on natural (...) relations to prop up his presentation of inferential reasoning while at the same time advancing an anti-realist account of relations is critical for making sense of his system of logic and epistemology, which came to be nearly universally adopted in Tibetan Buddhism cutting across traditions. Chomden Rikpé Reldri (1227–1305), who was perhaps the most prolific commentator on logic and epistemology in the history of Tibetan philosophy, composed two texts commenting on the Examination of Relations, neither of which have received any scholarly attention to date. In this paper, I provide an introduction to Chomden Reldri’s two commentaries and consider how they may illuminate Dharmakīrti’s text and also what they reveal about the understanding of Dharmakīrti’s account of relations in early Tibetan scholasticism. I then present a translation of Dharmakīrti’s Examination of Relations together with Chomden Reldri’s commentary, Annotations and Topical Outline of the Examination of Relations (’Brel pa brtag pa’i mchan dang sa bcad gnyis). (shrink)

[EDIT: This book will be published open access. Check back around April 2024 to access the entire book.] One central aim of science is to provide explanations of natural phenomena. What role(s) does mathematics play in achieving this aim? How does mathematics contribute to the explanatory power of science? Rules to Infinity defends the thesis, common though perhaps inchoate among many members of the Vienna Circle, that mathematics contributes to the explanatory power of science by expressing conceptual rules, rules (...) which allow the transformation of empirical descriptions. Mathematics should not be thought of as describing, in any substantive sense, an abstract realm of eternal mathematical objects, as traditional platonists have thought. In Rules to Infinity, this view, which I call mathematical normativism, is updated with contemporary philosophical tools, and it is argued that normativism is compatible with mainstream semantic theory. This allows the normativist to accept that there are mathematical truths, while resisting the platonistic idea that there exist abstract mathematical objects that explain such truths. Furthermore, Rules to Infinity defends a particular account of the distinction between scientific explanations that are in some sense distinctively mathematical – those that explain natural phenomena in some uniquely mathematical way – and those that are only standardly mathematical, and it lays out desiderata for any account of this distinction. Normativism is compared with other prominent views in the philosophy of mathematics such as neo-Fregeanism, fictionalism, conventionalism, and structuralism. Rules to Infinity serves as an entry point into debates at the forefront of philosophy of science and mathematics, and it defends novel positions in these debates. (shrink)

‘Facticity’ is a concept that classical phenomenologists like Heidegger use to denote the radically contingent or underivably brute conditions of intelligibility. Yet Fichte coins the term, to which he gives the opposing use of denoting unacceptably brute conditions of intelligibility. For him, radical contingency is a problem to be solved by deriving such conditions from reason. Heidegger rejects Fichte's recoil from facticity with his hermeneutics of facticity, supplanting Fichte's metaphor of our always being in reason's hand with the metaphor of (...) our always having been thrown. How does Heidegger inherit and diametrically repurpose Fichte's neologism? Whence the reversed meaning of ‘facticity’ in post-Kantian thought? The answer is Lask's doctoral thesis, which exerts an acknowledged impact on Heidegger's habilitation thesis. Lask interprets ‘facticity’ as Fichte's term for the individuality problem, that is, the resistance of the material particularity of individuals to explanation by the categories genetically deduced from reason. On his interpretation, ‘facticity’ denotes radical contingency in the guise of haecceity, that is, the brute uniqueness of individuals. Lask credits Fichte with registering the problem of individuality, which highlights the world's irreducibly precategorial character. But how is ‘facticity’ transmitted from Lask to Heidegger, given their opposing interpretations of how Fichte understands its meaning? I argue that (1) Lask misreads Fichte as a proponent of facticity, that is, one whose accommodation of radical contingency deflates the Wissenschaftslehre's systematic ambitions, and (2) Lask's misreading, without deceiving Heidegger regarding the sincerity of Fichte's ambitions, encourages Heidegger's own hermeneutics of facticity. (shrink)

In a quantum universe with a strong arrow of time, we postulate a low-entropy boundary condition to account for the temporal asymmetry. In this paper, I show that the Past Hypothesis also contains enough information to simplify the quantum ontology and define a unique initial condition in such a world. First, I introduce Density Matrix Realism, the thesis that the quantum universe is described by a fundamental density matrix that represents something objective. This stands in sharp contrast to Wave (...) Function Realism, the thesis that the quantum universe is described by a wave function that represents something objective. Second, I suggest that the Past Hypothesis is sufficient to determine a unique and simple density matrix. This is achieved by what I call the Initial Projection Hypothesis: the initial density matrix of the universe is the normalized projection onto the special low-dimensional Hilbert space. Third, because the initial quantum state is unique and simple, we have a strong case for the \emph{Nomological Thesis}: the initial quantum state of the universe is on a par with laws of nature. This new package of ideas has several interesting implications, including on the harmony between statistical mechanics and quantum mechanics, the dynamic unity of the universe and the subsystems, and the alleged conflict between Humean supervenience and quantum entanglement. (shrink)