Discussion of new axioms for set theory has often focused on conceptions of maximality, and how these might relate to the iterative conception of set. This paper provides critical appraisal of how certain maximality axioms behave on different conceptions of ontology concerning the iterative conception. In particular, we argue that forms of multiversism (the view that any universe of a certain kind can be extended) and actualism (the view that there are universes that cannot be extended in particular ways) face (...) complementary problems. The latter view is unable to use maximality axioms that make use of extensions, where the former has to contend with the existence of extensions violating maximality axioms. An analysis of two kinds of multiversism, a Zermelian form and Skolemite form, leads to the conclusion that the kind of maximality captured by an axiom differs substantially according to background ontology. (shrink)

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often model-theoretic constructions that add sets to models are cited as evidence in favour of the latter. This paper informs this debate by developing a way for a Universist to interpret talk that (...) seems to necessitate the addition of sets to V. We argue that, despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We present a method of interpreting extension-talk (V-logic), and show how it captures satisfaction in `ideal' outer models and relates to impredicative class theories. We provide some reasons to regard the technique as philosophically virtuous, and argue that it opens new doors to philosophical and mathematical discussions for the Universist. (shrink)

Set-theoretic and category-theoretic foundations represent different perspectives on mathematical subject matter. In particular, category-theoretic language focusses on properties that can be determined up to isomorphism within a category, whereas set theory admits of properties determined by the internal structure of the membership relation. Various objections have been raised against this aspect of set theory in the category-theoretic literature. In this article, we advocate a methodological pluralism concerning the two foundational languages, and provide a theory that fruitfully interrelates a ‘structural’ perspective (...) to a set-theoretic one. We present a set-theoretic system that is able to talk about structures more naturally, and argue that it provides an important perspective on plausibly structural properties such as cardinality. We conclude the language of set theory can provide useful information about the notion of mathematical structure. (shrink)

It is standard in set theory to assume that Cantor's Theorem establishes that the continuum is an uncountable set. A challenge for this position comes from the observation that through forcing one can collapse any cardinal to the countable and that the continuum can be made arbitrarily large. In this paper, we present a different take on the relationship between Cantor's Theorem and extensions of universes, arguing that they can be seen as showing that every set is countable and that (...) the continuum is a proper class. We examine several principles based on maximality considerations in this framework, and show how some (namely Ordinal Inner Model Hypotheses) enable us to incorporate standard set theories (including ZFC with large cardinals added). We conclude that the systems considered raise questions concerning the foundational purposes of set theory. (shrink)

The Hyperuniverse Programme, introduced in Arrigoni and Friedman (2013), fosters the search for new set-theoretic axioms. In this paper, we present the procedure envisaged by the programme to find new axioms and the conceptual framework behind it. The procedure comes in several steps. Intrinsically motivated axioms are those statements which are suggested by the standard concept of set, i.e. the `maximal iterative concept', and the programme identi fies higher-order statements motivated by the maximal iterative concept. The satisfaction of these (...) statements (H-axioms) in countable transitive models, the collection of which constitutes the `hyperuniverse' (H), has remarkable 1st-order consequences, some of which we review in section 5. (shrink)

Set-theoretic and category-theoretic foundations represent different perspectives on mathematical subject matter. In particular, category-theoretic language focusses on properties that can be determined up to isomorphism within a category, whereas set theory admits of properties determined by the internal structure of the membership relation. Various objections have been raised against this aspect of set theory in the category-theoretic literature. In this article, we advocate a methodological pluralism concerning the two foundational languages, and provide a theory that fruitfully interrelates a `structural' perspective (...) to a set-theoretic one. We present a set-theoretic system that is able to talk about structures more naturally, and argue that it provides an important perspective on plausibly structural properties such as cardinality. We conclude the language of set theory can provide useful information about the notion of mathematical structure. (shrink)

Dans cet article, nous offrons un large aperçu des interactions entre cognition, systèmes de croyances et institutions, et comment elles affectent la performance économique. Nous estimons qu'une meilleure compréhension de l’émergence des institutions, de leurs propriétés de fonctionnement et de leurs effets sur les résultats politiques et économiques doit commencer par une analyse des processus cognitifs. Nous explorons la nature de l'apprentissage individuel et collectif, en soulignant que la question n'est pas de savoir si les agents ont une rationalité parfaite (...) ou limitée, mais plutôt de savoir comment les êtres humains raisonnent ou choisissent réellement, individuellement et collectivement. Nous avons ensuite lié les processus d'apprentissage à l'analyse institutionnelle, fournissant des arguments en faveur de ce qui peut être qualifiée d’« institutionnalisme cognitif ». En outre, nous montrons qu’un traitement complet du phénomène de sentier de dépendance devrait commencer au niveau cognitif, se poursuivre au niveau institutionnel, et aboutir au niveau économique. (shrink)

We defend a noetic account of intramathematical explanation. On this view, a piece of mathematics is explanatory just in case it produces understanding of an appropriate type. We motivate the view by presenting some appealing features of noeticism. We then discuss and criticize the most prominent extant version of noeticism, due to Inglis and Mejía Ramos, which identifies explanatory understanding with the possession of well-organized cognitive schemas. Finally, we present a novel noetic account. On our view, explanatory understanding arises from (...) meeting specific explanatory objectives. We defend a cluster-concept account of explanatory objectives and identify four important subfamilies within the relevant network of resemblance relations. The resulting view is objectivist (in the sense that it takes explanatory success to be a matter of observer-independent fact), broader in scope than why-question-based accounts, compatible with empirical findings on experts’ explanatory judgments, and capable of generalizing (with appropriate provisos) to scientific explanation as a whole. It thus fulfills Friedman’s half-century-old demand for a general and objectivist theory which accounts for the link between explanation and understanding. (shrink)

Several physicists, among them Hawking, Page, Coule, and Carroll, have argued against the probabilistic intuitions underlying fine-tuning arguments in cosmology and instead propose that the canonical measure on the phase space of Friedman-Robertson-Walker space-times should be used to evaluate fine-tuning. They claim that flat space-times in this set are actually typical on this natural measure and that therefore the flatness problem is illusory. I argue that they misinterpret typicality in this phase space and, moreover, that no conclusion can be (...) drawn at all about the flatness problem by using the canonical measure alone. (shrink)

This chapter challenges previous interpretations of the essay by analyzing the essential features of the method it describes. It argues that, even if Kant fails to present a perfectly clear and defensible account of a method for metaphysics, the manner in which he describes this method and the kind of transformation of metaphysical inquiry that he hopes it will accomplish do not testify to a broadly rationalist approach but, in fact, embody the anti-rationalist spirit of Bacon and Newton. While Kant (...) does indeed believe that metaphysics will one day be able to re-adopt the synthetic method, I argue that this is perfectly consistent with the views of Bacon and Newton as he understood them. In contrast with Friedman’s claim, I also show that experience does play a role in Kant’s conception of data and that this is particularly clear if we take into account other texts of the same period. (shrink)

Comments on Jane Friedman "Inquiry and Belief" (for 2015 Ranch Conference). Jane Friedman proposes DBI: One ought not to believe an (complete) answer to a question & at the same time inquire into that question – that’d be irrational. I raise some counterexamples. Then I propose an alternative principle which avoids the counterexamples and which has the further advantage of following from more general platitudes about knowledge. The general point is that even if one believes an answer to (...) a question it is not irrational to inquire as long as epistemic improvement is possible. (This is along the same lines as the principle of *Epistemic Improvement* more recently suggested by Arianna Falbo and Avery Archer.). (shrink)

Al-Makhtoobah (The fiancé), a social-realistic drama that can be claimed as the first drama to make a mark in Indian Arabic literature published in 2009 by Syed Ehtisham Ahmad Nadvi, depicts generally a vivid picture of Indian Muslim society and some unwelcomed marital issues especially, in the form of dialogue. Al-Makhtoobah, is a tragedy in manners turning round the pertinacious attempts of a young girl to pass her life with her drunkard irresponsible husband. Before marriage, her rich parents were in (...) a promise to marry her with a meritorious madrassa student, while a fraudulent became successful to make their promise fail showing fallaciously superiority of a boy who becomes her husband later. Henceforth, the fraudulent occupies wealth of the girl and her father and finally this incident makes her father mysterious, mad and he dies. The writer Syed Ehtisham Ahmad Nadvi is a famous Indian Arabic literary critic, litterateur; an alumnus of Aligarh Muslim University, Jamia Millia Islamia and the great Islamic learning center namely Darul Uloom Nadwatul Ulama, Lucknow. He is also one of the shining figures in the history of Indian Arabic literature who wrote a good number of books and articles in Arabic as well as Urdu and retired as a professor of Arabic in the University of Calicut, Kerala in the year 2000 A.D. The present paper aims to study the themes of Al-Makhtoobah and styles that have followed the writer in making of the drama an artistic one. Further, it attempts to present writer’s academic, administrative and artistic excellence. (shrink)

In this paper I apply the concept of _inter-Model Inconsistency in Set Theory_ (MIST), introduced by Carolin Antos (this volume), to select positions in the current universe-multiverse debate in philosophy of set theory: I reinterpret H. Woodin’s _Ultimate L_, J. D. Hamkins’ multiverse, S.-D. Friedman’s hyperuniverse and the algebraic multiverse as normative strategies to deal with the situation of de facto inconsistency toleration in set theory as described by MIST. In particular, my aim is to situate these positions on (...) the spectrum from inconsistency avoidance to inconsistency toleration. By doing so, I connect a debate in philosophy of set theory with a debate in philosophy of science about the role of inconsistencies in the natural sciences. While there are important differences, like the lack of threatening explosive inferences, I show how specific philosophical positions in the philosophy of set theory can be interpreted as reactions to a state of inconsistency similar to analogous reactions studied in the philosophy of science literature. My hope is that this transfer operation from philosophy of science to mathematics sheds a new light on the current discussion in philosophy of set theory; and that it can help to bring philosophy of mathematics and philosophy of science closer together. (shrink)

V rámci filosofie věd panuje široká shoda na tom, že druhá polovina 20. století složila „labutí píseň" pozitivismu. Milton Friedman a Paul Samuelson, dva klíčoví autoři k metodologii ekonomie v daném časovém období, přitom tento vývoj ve filosofii vědy prý nikdy nereflektovali. Pozitivistická východiska - v prvé řadě v podobě redukcioni- stického přístupu - jsou tudíž stále přítomna ve vlivných teoretických konceptech rozvinutých ekonomy hlavního proudu. Značný počet autorů však v současnosti sdílí náhled, že tyto koncepty v nezanedbatelné míře (...) přispěly k vývoji, jenž ústil ve finanční krizi, vrcholící v letech 2008 a 2009. Předkládaný článek se proto táže, zda to byla právě krize - v níž mnozí spatřují empirické zamítnutí řady pozitivistických konceptů - která napsala „labutí píseň" pozitivismu v ekonomii hlavního proudu. (shrink)

This article compares the elucidation of the semantic structure and fixity of a number of key terms and concepts of the Qur'an by two contemporary scholars, Toshihiko Izutsu (1914-1993) and Syed Muhammad Naquib al-Attas (1931--), with that of al-Raghib al-Isfahani (d. ca 443/1060), the author of the celebrated Kitab al-mufradat fi gharib al-Qur'an. By 'key terms and concepts' are meant those words used by the Qur'an which play a decisive role in making up the basic conceptual structure of the Qur'anic (...) worldview. The article shows how the Qur'an profoundly changed and subsequently fixed the meaning of Arabic terms, particularly those key terms relating to religion and ethics, and it highlights the fact that the contemporary semantic analysis of the Qur'anic vocabulary has its precedent in the fifth/eleventh century. (shrink)

In the recent philosophical literature on inquiry, epistemologists point out that their subject has often begun at the point at which you already have your evidence and then focussed on identifying the beliefs for which that evidence provides justification. But we are not mere passive recipients of evidence. While some comes to us unbidden, we often actively collect it. This has long been recognised, but typically epistemologists have taken the norms that govern inquiry to be practical, not epistemic. The recent (...) literature challenges this assumption and uncovers a rich range of questions about the epistemic normativity of inquiry. In this paper, I approach these questions from the formal side of epistemology. Developing out of the philosophy of science, as it did, this branch of epistemology has long discussed inquiry. And, building on the insights of Janina Hosiasson (1931), David Blackwell (1951), and I. J. Good (1967), it has produced a reasonably well-developed framework in which to understand norms of inquiry, both epistemic and practical. In the first half of the paper, I will present the pragmatic versions of this framework due to Hosiasson, Blackwell, and Good, and the epistemic version due to Graham Oddie (1997); in the second half of the paper, I put this framework to work, turning to some of the questions from the recent debate about inquiry and asking how the framework can help us answer them. Questions include: When should we initiate an inquiry, when should we continue it, when should we conclude it, and when should we reopen it? How do epistemic norms of inquiry relate to epistemic norms of belief or credence, and can they conflict, as Jane Friedman (2020) contends? How should we resolve the apparent puzzle raised by Friedman's example of counting the windows in the Chrysler Building? How should we direct our attention, as Georgi Gardiner (2022) asks? How should we choose and reason after receiving evidence we'd rather not have received? And how should we understand the epistemic error that occurs when someone is resistant to evidence in the way Mona Simion (2023) describes? (shrink)

This paper -distinguishes between the Hypothesis of Extended Cognition and the Hypothesis of Embedded Cognition, characterizing them as competitors (both motivated by situated, interactive cognitive processing, with the latter being the more conservative of the two interpretations of the data) -clarifies the relation between content externalism and extended cognition -introduces the problem of cognitive bloat, as part of a critical discussion of Clark and Chalmers's "past-endorsement criterion" (if the criterion is embraced, we privilege the internal, endorsing process -- which looks (...) more like an embedded view -- and if the criterion is rejected, bloat follows) and as a problem for extended views more generally -develops a dilemma critical of Clark and Chalmers's "explanatory kinds" argument for extended mind and cognition (arguing that their reasoning faces serious problems regardless of whether one individuates the kinds in question in a fine-grained or a coarse-grained way) -argues that an appeal to functionalism doesn't resolve the issue -argues for the priority, in debates about extended cognition, of the identification of cognitive systems (e.g., because a functionalist approach can't be applied unless we already know what count as inputs and outputs, which requires having already identified the boundaries of the cognitive system). (shrink)

Cet article vise à élucider la nature de l'enquête. Je présente tout d'abord les desiderata communs à toute théorie de l'enquête. Je catégorise ensuite l'enquête comme un processus structuré en me concentrant sur ses composantes essentielles : des attitudes de questionnement guidant des actions. Enfin, je me penche sur l'objection récente selon laquelle les attitudes de questionnement ne sont pas nécessaires à l'enquête. Je défends la thèse selon laquelle l'enquête est un processus structuré essentiellement constitué d'attitudes de questionnement ayant deux (...) rôles fonctionnels précis, soit d'initier et de guider le déploiement de capacités cognitives en vue d'un but épistémique. (shrink)

Efforts to bridge emotion theory with neurobiology can be facilitated by dynamic systems (DS) modeling. DS principles stipulate higher-order wholes emerging from lower-order constituents through bidirectional causal processes cognition relations. I then present a psychological model based on this reconceptualization, identifying trigger, self-amplification, and self-stabilization phases of emotion-appraisal states, leading to consolidating traits. The article goes on to describe neural structures and functions involved in appraisal and emotion, as well as DS mechanisms of integration by which they interact. These mechanisms (...) include nested feedback interactions, global effects of neuromodulation, vertical integration, action-monitoring, and synaptic plasticity, and they are modeled in terms of both functional integration and temporal synchronization. I end by elaborating the psychological model of emotion–appraisal states with reference to neural processes. (shrink)

In response to historical challenges, advocates of a sophisticated variant of scientific realism emphasize that theoretical systems can be divided into numerous constituents. Setting aside any epistemic commitment to the systems themselves, they maintain that we can justifiably believe those specific constituents that are deployed in key successful predictions. Stathis Psillos articulates an explicit criterion for discerning exactly which theoretical constituents qualify. I critique Psillos's criterion in detail. I then test the more general deployment realist intuition against a set of (...) well-known historical cases, whose significance has, I contend, been overlooked. I conclude that this sophisticated form of realism remains threatened by the historical argument that prompted it. A criterion for scientific realism Assessing the criterion A return to the crucial insight: responsibility A few case studies Assessing deployment realism. (shrink)

This paper explores an emerging sub-field of both empirical bioethics and experimental philosophy, which has been called “experimental philosophical bioethics” (bioxphi). As an empirical discipline, bioxphi adopts the methods of experimental moral psychology and cognitive science; it does so to make sense of the eliciting factors and underlying cognitive processes that shape people’s moral judgments, particularly about real-world matters of bioethical concern. Yet, as a normative discipline situated within the broader field of bioethics, it also aims to contribute to substantive (...) ethical questions about what should be done in a given context. What are some of the ways in which this aim has been pursued? In this paper, we employ a case study approach to examine and critically evaluate four strategies from the recent literature by which scholars in bioxphi have leveraged empirical data in the service of normative arguments. (shrink)

Understanding the nature of pain depends, at least partly, on recognizing its subjectivity (thus, its first-person epistemology). This in turn requires using a first-person experiential method in addition to third-person experimental approaches to study it. This paper is an attempt to spell out what the former approach is and how it can be integrated with the latter. We start our discussion by examining some foundational issues raised by the use of introspection. We argue that such a first-person method in the (...) scientific study of pain (as in the study of any experience) is in fact indispensable by demonstrating that it has in fact been consistently used in conjunction with conventional third-person methodologies, and this for good reasons. We show that, contrary to what appears to be a widespread opinion, there is absolutely no reason to think that the use of such a first-person approach is scientifically and methodologically suspect. We distinguish between two uses of introspective methods in scientific experiments: one draws on the subjects’ introspective reports where any investigator has equal and objective access. The other is where the investigator becomes a subject of his own study and draws on the introspection of his own experiences. We give examples using and/or approximating both strategies that include studies of second pain summation and its relationship to neural activities, and brain imaging- psychophysical studies wherein sensory and affective qualities of pain are correlated with cerebral cortical activity. We explain what we call the experiential or phenomenological approach that has its origins in the work of Price and Barrell (1980). This approach capitalizes on the scientific prospects and benefits of using the introspection of the investigator. We distinguish between its vertical and horizontal applications. Finally, we conclude that integrating such an approach to standard third-person methodologies can only help us in having a fuller understanding of pain and of conscious experience in general. (shrink)

G. A. Cohen conceptualizes socialism as luck egalitarianism constrained by a community principle. The latter mitigates certain inequalities to achieve a shared common life. This article explores the plausibility of the community constraint on inequality in light of two related problems. First, if it is voluntary, it fails as a response to “the abandonment objection” to luck egalitarianism, as it would not guarantee imprudent people sufficient resources to avoid deprivation and to function as equal citizens in a democratic society. Contra (...) Cohenite socialism, this appears unjust. Second, if it is instead enforced, coercive equalization beyond sufficiency-constrained luck egalitarianism, which is possibly necessary to achieve a shared common life, seems to require unjustified restrictions on liberty. I therefore argue that the constraint is most plausibly specified as requiring enforcement of sufficiency and only voluntary equalization thereafter. I also note, skeptically, why this constraint might be morally preferable to a purely sufficientarian alternative. (shrink)

Now it is plain that such consequences as these conflict sharply with common-sense notions of morality. If we had been obliged to accept Psychological Egoism, in any of its narrower forms, on its merits, we should have had to say: 'So much the worse for the common-sense notions of morality!' But, if I am right, the morality of common sense, with all its difficulties and incoherences, is immune at least to attacks from the basis of Psychological Egoism.

According to many philosophers, psychological explanation canlegitimately be given in terms of belief and desire, but not in termsof knowledge. To explain why someone does what they do (so the common wisdom holds) you can appeal to what they think or what they want, but not what they know. Timothy Williamson has recently argued against this view. Knowledge, Williamson insists, plays an essential role in ordinary psychological explanation.Williamson's argument works on two fronts.First, he argues against the claim that, unlike knowledge, (...) belief is``composite'' (representable as a conjunction of a narrow and a broadcondition). Belief's failure to be composite, Williamson thinks, undermines the usual motivations for psychological explanation in terms of belief rather than knowledge.Unfortunately, we claim, the motivations Williamson argues against donot depend on the claim that belief is composite, so what he saysleaves the case for a psychology of belief unscathed.Second, Williamson argues that knowledge can sometimes provide abetter explanation of action than belief can.We argue that, in the cases considered, explanations that cite beliefs(but not knowledge) are no less successful than explanations that citeknowledge. Thus, we conclude that Williamson's arguments fail both coming andgoing: they fail to undermine a psychology of belief, and they fail tomotivate a psychology of knowledge. (shrink)

This paper offers a general characterization of underdetermination and gives a prima facie case for the underdetermination of the topology of the universe. A survey of several philosophical approaches to the problem fails to resolve the issue: the case involves the possibility of massive reduplication, but Strawson on massive reduplication provides no help here; it is not obvious that any of the rival theories are to be preferred on grounds of simplicity; and the usual talk of empirically equivalent theories misses (...) the point entirely. (If the choice is underdetermined, then the theories are not empirically equivalent!) Yet the thought experiment is analogous to a live scientific possibility, and actual astronomy faces underdetermination of this kind. This paper concludes by suggesting how the matter can be resolved, either by localizing the underdetermination or by defeating it entirely. Introduction A brief preliminary Around the universe in 80 days Some attempts at resolving the problem 4.1 Indexicality 4.2 Simplicity 4.3 Empirical equivalence 4.4 Is this just a philosophers' fantasy? Move along... ...nothing to see here 6.1 Rules of repetition 6.2 Some possible replies Conclusion. (shrink)

Pharmaceuticals or other emerging technologies could be used to enhance (or diminish) feelings of lust, attraction, and attachment in adult romantic partnerships. While such interventions could conceivably be used to promote individual (and couple) well-being, their widespread development and/or adoption might lead to “medicalization” of human love and heartache—for some, a source of serious concern. In this essay, we argue that the “medicalization of love” need not necessarily be problematic, on balance, but could plausibly be expected to have either good (...) or bad consequences depending upon how it unfolds. By anticipating some of the specific ways in which these technologies could yield unwanted outcomes, bioethicists and others can help direct the course of love’s “medicalization”—should it happen to occur—more toward the “good” side than the “bad.”. (shrink)

Background: Recent literature on addiction and judgments about the characteristics of agents has focused on the implications of adopting a ‘brain disease’ versus ‘moral weakness’ model of addiction. Typically, such judgments have to do with what capacities an agent has (e.g., the ability to abstain from substance use). Much less work, however, has been conducted on the relationship between addiction and judgments about an agent’s identity, including whether or to what extent an individual is seen as the same person after (...) becoming addicted. Methods: We conducted a series of vignette-based experiments (total N = 3,620) to assess lay attitudes concerning addiction and identity persistence, systematically manipulating key characteristics of agents and their drug of addiction. Conclusions: In Study 1, we found that US participants judged an agent who became addicted to drugs as being closer to ‘a completely different person’ than ‘completely the same person’ as the agent who existed prior to the addiction. In Studies 2-6, we investigated the intuitive basis for this result, finding that lay judgments of altered identity as a consequence of drug use and addiction are driven primarily by perceived negative changes in the moral character of drug users, who are seen as having deviated from their good true selves. (shrink)

The COVID-19 outbreak had a profound impact on many facets of society, particularly on the educational system. Therefore, all educational content must be delivered to students online, and it is the student’s responsibility to adjust to this new norm. Hence, this study sought to investigate if there is a significant relationship between self-efficacy and resilience among senior high school students. This study utilized correlational research, with the 150 grade 12 senior high school students enrolled in 2022-2023 as respondents. Thus, the (...) researchers employed General Self-Efficacy and Resilience Scale. Finally, the statistical analysis reveals that the r coefficient of 0.53 indicates a moderate positive correlation between the variables. The p-value of 0.00, less than 0.05, leads to rejecting the null hypothesis. Hence, a significant relationship exists between self-efficacy and resilience among senior high school students. (shrink)

Monists, pluralists, and particularists disagree about the structure of the best explanation of the rightness (wrongness) of actions. In this paper I argue that the availability of good moral advice gives us reason to prefer particularist theories and pluralist theories to monist theories. First, I identify two distinct roles of moral theorizing—explaining the rightness (wrongness) of actions, and providing moral advice—and I explain how these two roles are related. Next, I explain what monists, pluralists, and particularists disagree about. Finally, I (...) argue that particularists and pluralists are better situated than monists to explain why it is a good idea to think before we act, and that this gives us reason to favor particularism and pluralism over monism. (shrink)

The use of the symbol ∨for disjunction in formal logic is ubiquitous. Where did it come from? The paper details the evolution of the symbol ∨ in its historical and logical context. Some sources say that disjunction in its use as connecting propositions or formulas was introduced by Peano; others suggest that it originated as an abbreviation of the Latin word for “or,” vel. We show that the origin of the symbol ∨ for disjunction can be traced to Whitehead and (...) Russell’s pre-Principia work in formal logic. Because of Principia’s influence, its notation was widely adopted by philosophers working in logic (the logical empiricists in the 1920s and 1930s, especially Carnap and early Quine). Hilbert’s adoption of ∨ in his Grundzüge der theoretischen Logik guaranteed its widespread use by mathematical logicians. The origins of other logical symbols are also discussed. (shrink)

In this paper, I defend Rudolf Carnap's Principle of Tolerance from an accusation, due to Michael Friedman, that it is self-defeating by prejudicing any debate towards the logically stronger theory. In particular, Friedman attempts to show that Carnap's reconstruction of the debate between classicists and intuitionists over the foundations of mathematics in his book The Logical Syntax of Language, is biased towards the classical standpoint since the metalanguage he constructs to adjudicate between the rival positions is fully classical. (...) I argue that this criticism is mistaken on two counts: (1) it fails to fully appreciate the freedom with regard to the construction of linguistic frameworks that Carnap intended his Principle to embody, and (2) Friedman's objection underestimates the extent to which the evaluation of a framework is task-relative. I conclude that Tolerance is not self-undermining in the way that Friedman claims it is. While this is a restricted conclusion -- and is not a vindication of Carnap's views on logic and mathematics tout court -- it nonetheless suggests that his tolerant perspective has been dismissed too quickly, even by his supporters. (shrink)

In this chapter, we introduce the notion of “moral neuroenhancement,” offering a novel definition as well as spelling out three conditions under which we expect that such neuroenhancement would be most likely to be permissible (or even desirable). Furthermore, we draw a distinction between first-order moral capacities, which we suggest are less promising targets for neurointervention, and second-order moral capacities, which we suggest are more promising. We conclude by discussing concerns that moral neuroenhancement might restrict freedom or otherwise “misfire,” and (...) argue that these concerns are not as damning as they may seem at first. (shrink)

A great achievement makes one’s life go better independently of its results, but what makes an achievement great? A simple answer is—its difficulty. I defend this view against recent, pressing objections by interpreting difficulty in terms of competitiveness. Difficulty is determined not by how hard the agent worked for the end but by how hard others would need to do in order to compete. Successfully reaching a goal is a valuable achievement because it is difficult, and it is difficult because (...) it is competitive. Hence, both virtuosic performances and lucky successes can be valuable achievements. (shrink)

If I were asked to put forward an ethical principle which I considered to be especially certain, it would be that no one can be responsible, in the properly ethical sense, for the conduct of another. Responsibility belongs essentially to the individual. The implications of this principle are much more far-reaching than is evident at first, and reflection upon them may lead many to withdraw the assent which they might otherwise be very ready to accord to this view of responsibility. (...) But if the difficulties do appear to be insurmountable, and that, very certainly, does not seem to me to be the case, then the proper procedure will be, not to revert to the barbarous notion of collective or group responsibility, but to give up altogether the view that we are accountable in any distinctively moral sense. (shrink)

Background theories in science are used both to prove and to disprove that theory choice is underdetermined by data. The alleged proof appeals to the fact that experiments to decide between theories typically require auxiliary assumptions from other theories. If this generates a kind of underdetermination, it shows that standards of scientific inference are fallible and must be appropriately contextualized. The alleged disproof appeals to the possibility of suitable background theories to show that no theory choice can be timelessly or (...) noncontextually underdetermined: Foreground theories might be distinguished against different backgrounds. Philosophers have often replied to such a disproof by focussing their attention not on theories but on Total Sciences. If empirically equivalent Total Sciences were at stake, then there would be no background against which they could be differentiated. I offer several reasons to think that Total Science is a philosophers' fiction. No respectable underdetermination can be based on it. (shrink)

Philosophers of language have drawn on metamathematical results in varied ways. Extensionalist philosophers have been particularly impressed with two, not unrelated, facts: the existence, due to Frege/Tarski, of a certain sort of semantics, and the seeming absence of intensional contexts from mathematical discourse. The philosophical import of these facts is at best murky. Extensionalists will emphasize the success and clarity of the model theoretic semantics; others will emphasize the relative poverty of the mathematical idiom; still others will question the aptness (...) of the standard extensional semantics for mathematics. In this paper I investigate some implications of the Gödel Second Incompleteness Theorem for these positions. I argue that the realm of mathematics, proof theory in particular, has been a breeding ground for intensionality and that satisfactory intensional semantic theories are implicit in certain rigorous technical accounts. (shrink)

Moral philosophers are, among other things, in the business of constructing moral theories. And moral theories are, among other things, supposed to explain moral phenomena. Consequently, one’s views about the nature of moral explanation will influence the kinds of moral theories one is willing to countenance. Many moral philosophers are (explicitly or implicitly) committed to a deductive model of explanation. As I see it, this commitment lies at the heart of the current debate between moral particularists and moral generalists. In (...) this paper I argue that we have good reasons to give up this commitment. In fact, I show that an examination of the literature on scientific explanation reveals that we are used to, and comfortable with, non-deductive explanations in almost all areas of inquiry. As a result, I argue that we have reason to believe that moral explanations need not be grounded in exceptionless moral principles. (shrink)

Kyle Stanford has recently claimed to offer a new challenge to scientific realism. Taking his inspiration from the familiar Pessimistic Induction (PI), Stanford proposes a New Induction (NI). Contra Anjan Chakravartty’s suggestion that the NI is a ‘red herring’, I argue that it reveals something deep and important about science. The Problem of Unconceived Alternatives, which lies at the heart of the NI, yields a richer anti-realism than the PI. It explains why science falls short when it falls short, and (...) so it might figure in the most coherent account of scientific practice. However, this best account will be antirealist in some respects and about some theories. It will not be a sweeping antirealism about all or most of science. (shrink)

Given the fact that many people use Wikipedia, we should ask: Can we trust it? The empirical evidence suggests that Wikipedia articles are sometimes quite good but that they vary a great deal. As such, it is wrong to ask for a monolithic verdict on Wikipedia. Interacting with Wikipedia involves assessing where it is likely to be reliable and where not. I identify five strategies that we use to assess claims from other sources and argue that, to a greater of (...) lesser degree, Wikipedia frustrates all of them. Interacting responsibly with something like Wikipedia requires new epistemic methods and strategies. (shrink)

There is no doubt that social interaction plays an important role in language-learning, as well as in concept acquisition. In surprising contrast, social interaction makes only passing appearance in our most promising naturalistic theories of content. This is particularly true in the case of mental content (e.g., Cummins, 1996; Dretske, 1981, 1988; Fodor, 1987, 1990a; Millikan, 1984); and insofar as linguistic content derives from mental content (Grice, 1957), social interaction seems missing from our best naturalistic theories of both.1 In this (...) paper, I explore the ways in which even the most individualistic of theories of mental content can, and should, accommodate social effects. I focus especially on the way in which inferential relations, including those that are socially taught, influence language-learning and concept acquisition. I argue that these factors affect the way subjects conceive of mental and linguistic content. Such effects have a dark side: the social and inferential processes in question give rise to misleading intuitions about content itself. They create the illusion that content and inferential relations are more deeply intertwined than they actually are. This illusion confounds an otherwise attractive solution to what is known as ‘Frege’s puzzle’ (Salmon, 1986). I.. (shrink)

This paper examines Confucian, Daoist and Legalist view of self-realization zide 自得.

forthcoming in Philosophy and Phenomenological Research.

A review of the patterns of brain activation observed in implicit and explicit memory tasks indicates that during conscious retrieval studied items are first retrieved nonconsciously and are retained in a buffer at the extrastriate cortex. It also indicates that the awareness of the retrieved item is made possible by the activation of a reentrant signaling loop between the extrastriate and left prefrontal cortices.