This article shows how Hume, based on a definition of freedom as a historical process and an understanding of the faction as inevitable phenomenon in human political path, concludes that the harmful effects of the different factions do not crystallize, as in the case of justice and the origin of government, in a spontaneous balance, but require strategies in the executive and legislative to be controlled and reoriented in order to obtain from such control a fundamental socio-political advantage: the development (...) and expansion of the experience of political freedom. (shrink)

El presente artículo muestra cómo la crítica humeana a los fundamentos del racionalismo moral y a sus consecuencias en el terreno de las ideas educativas propició un cambio significativo en la comprensión de los objetivos de la educación moral que pasaron de buscar el perfeccionamiento de la agencia, a perseguir la perfección y el refinamiento de las capacidades del individuo como espectador y evaluador moral imparcial. Esta trasformación de la finalidad y del currículo de la educación moral será la solución (...) que Hume ofrezca a los problemas de parcialidad derivados de la historicidad y la caducidad del general point of view como criterio último para el juicio moral. La exposición constante del educando a todas las formas históricas de la belleza, junto con la poesía, la literatura, el estudio de la historia y la filosofía, constituirán para Hume la base de esta revolución pedagógica. (shrink)

This work aims to study a specific part of the ethical and political thought of Scottish philosopher David Hume: his descriptions of the origin of justice and government. Both are analyzed in an attempt to clarify the treatment of inequality that it is offered by them. We describe how the particular process of criminalization of natural inequality begins to occur with the moralization of laws of justice after the first convention and how it is consolidated after the genesis of (...) government. During this particular descriptive process our main goal will be to identify the profile and role of the various players, and the emergence of moral paternalism and dominance in the interaction thereof. Finally, try to offer a credible solution to one of the perennial conflicts in the secondary literature on Hume’s ethic philosophy ─the paradox of motivation─, reinterpreting the meaning of the strategy adopted by the figure of the sensible knave. (shrink)

This article argues that the origin of the political principles and categories that Hume sets as essential to the preservation of political power and its effective exercise can be traced into the division of political agent that occurs as a result of the institution of justice and government in the origin of society. Their different roles and different degrees of freedom will determine, since then, and through political action and its irreversibility, the categories and the fundamental problems that Hume´s political (...) philosophy should answer. From that framework, the panoply of political power preservation principles that Hume exposes in the Essays will be analyzed as a reflection of that original event and its particular evolution. (shrink)

This twelfth volume of Collected Papers includes 86 papers comprising 976 pages on Neutrosophics Theory and Applications, published between 2013-2021 in the international journal and book series “Neutrosophic Sets and Systems” by the author alone or in collaboration with the following 112 co-authors (alphabetically ordered) from 21 countries: Abdel Nasser H. Zaied, Muhammad Akram, Bobin Albert, S. A. Alblowi, S. Anitha, Guennoun Asmae, Assia Bakali, Ayman M. Manie, Abdul Sami Awan, Azeddine Elhassouny, Erick González-Caballero, D. Dafik, Mithun Datta, Arindam Dey, (...) Mamouni Dhar, Christopher Dyer, Nur Ain Ebas, Mohamed Eisa, Ahmed K. Essa, Faruk Karaaslan, João Alcione Sganderla Figueiredo, Jorge Fernando Goyes García, N. Ramila Gandhi, Sudipta Gayen, Gustavo Alvarez Gómez, Sharon Dinarza Álvarez Gómez, Haitham A. El-Ghareeb, Hamiden Abd El-Wahed Khalifa, Masooma Raza Hashmi, Ibrahim M. Hezam, German Acurio Hidalgo, Le Hoang Son, R. Jahir Hussain, S. Satham Hussain, Ali Hussein Mahmood Al-Obaidi, Hays Hatem Imran, Nabeela Ishfaq, Saeid Jafari, R. Jansi, V. Jeyanthi, M. Jeyaraman, Sripati Jha, Jun Ye, W.B. Vasantha Kandasamy, Abdullah Kargın, J. Kavikumar, Kawther Fawzi Hamza Alhasan, Huda E. Khalid, Neha Andalleb Khalid, Mohsin Khalid, Madad Khan, D. Koley, Valeri Kroumov, Manoranjan Kumar Singh, Pavan Kumar, Prem Kumar Singh, Ranjan Kumar, Malayalan Lathamaheswari, A.N. Mangayarkkarasi, Carlos Rosero Martínez, Marvelio Alfaro Matos, Mai Mohamed, Nivetha Martin, Mohamed Abdel-Basset, Mohamed Talea, K. Mohana, Muhammad Irfan Ahamad, Rana Muhammad Zulqarnain, Muhammad Riaz, Muhammad Saeed, Muhammad Saqlain, Muhammad Shabir, Muhammad Zeeshan, Anjan Mukherjee, Mumtaz Ali, Deivanayagampillai Nagarajan, Iqra Nawaz, Munazza Naz, Roan Thi Ngan, Necati Olgun, Rodolfo González Ortega, P. Pandiammal, I. Pradeepa, R. Princy, Marcos David Oviedo Rodríguez, Jesús Estupiñán Ricardo, A. Rohini, Sabu Sebastian, Abhijit Saha, Mehmet Șahin, Said Broumi, Saima Anis, A.A. Salama, Ganeshsree Selvachandran, Seyed Ahmad Edalatpanah, Sajana Shaik, Soufiane Idbrahim, S. Sowndrarajan, Mohamed Talea, Ruipu Tan, Chalapathi Tekuri, Selçuk Topal, S. P. Tiwari, Vakkas Uluçay, Maikel Leyva Vázquez, Chinnadurai Veerappan, M. Venkatachalam, Luige Vlădăreanu, Ştefan Vlăduţescu, Young Bae Jun, Wadei F. Al-Omeri, Xiao Long Xin.‬‬‬‬‬‬. (shrink)

How should one react when one has a belief, but knows that other people—who have roughly the same evidence as one has, and seem roughly as likely to react to it correctly—disagree? This paper argues that the disagreement of other competent inquirers often requires one to be much less confident in one’s opinions than one would otherwise be.

I insist that I was able to raise my hand, and I acknowledge that a law would have been broken had I done so, but I deny that I am therefore able to break a law. To uphold my instance of soft determinism, I need not claim any incredible powers. To uphold the compatibilism that I actually believe, I need not claim that such powers are even possible. My incompatibilist opponent is a creature of fiction, but he has his prototypes (...) in real life. He is modeled partly after Peter van Inwagen and partly on myself when I first worried about van Inwagen's argument against compatibilism. (shrink)

We present data and argument to show that in Tetris - a real-time interactive video game - certain cognitive and perceptual problems are more quickly, easily, and reliably solved by performing actions in the world rather than by performing computational actions in the head alone. We have found that some translations and rotations are best understood as using the world to improve cognition. These actions are not used to implement a plan, or to implement a reaction; they are used to (...) change the world in order to simplify the problem-solving task. Thus, we distinguish pragmatic actions ñ actions performed to bring one physically closer to a goal - from epistemic actions - actions performed to uncover information that is hidden or hard to compute mentally. To illustrate the need for epistemic actions, we first develop a standard information-processing model of Tetris-cognition, and show that it cannot explain performance data from human players of the game - even when we relax the assumption of fully sequential processing. Standard models disregard many actions taken by players because they appear unmotivated or superfluous. However, we describe many such actions that are actually taken by players that are far from superfluous, and that play valuable roles in improving human performance. We argue that traditional accounts are limited because they regard action as having a single function: to change the world. By recognizing a second function of action - an epistemic function - we can explain many of the actions that a traditional model cannot. Although, our argument is supported by numerous examples specifically from Tetris, we outline how the one category of epistemic action can be incorporated into theories of action more generally. (shrink)

Representationalists argue that phenomenal states are intentional states of a special kind. This paper offers an account of the kind of intentional state phenomenal states are: I argue that they are underived intentional states. This account of phenomenal states is equivalent to two theses: first, all possible phenomenal states are underived intentional states; second, all possible underived intentional states are phenomenal states. I clarify these claims and argue for each of them. I also address objections which touch on a range (...) of topics, including meaning holism and concept empiricism. I conclude with a brief discussion of the consequences of the proposed view for the project of naturalizing consciousness. (shrink)

A critical examination of the Reflection principle in Bayesian epistemology, and of the diachronic Dutch-book-style arguments that have been invoked to support Reflection and Conditionalization.

The old evidence problem affects any probabilistic confirmation measure based on comparing pr(H/E) and pr(H). The article argues for the following points: (1) measures based on likelihood ratios also suffer old evidence difficulties; (2) the less-discussed synchronic old evidence problem is, in an important sense, the most acute; (3) prominent attempts to solve or dissolve the synchronic problem fail; (4) a little-discussed variant of the standard measure avoids the problem, in an appealing way; and (5) this measure nevertheless reveals a (...) different problem for probabilistic confirmation measures, a problem that is unlikely to lend itself to formal solution. (shrink)

In this paper, we develop an account of the justification thinkers have for employing certain basic belief-forming methods. The guiding idea is inspired by Reichenbach's work on induction. There are certain projects in which thinkers are rationally required to engage. Thinkers are epistemically justified in employing any belief-forming method such that "if it doesn't work, nothing will" for successfully engaging in such a project. We present a detailed account based on this intuitive thought and address objections to it. We conclude (...) by commenting on the implications that our account may have for other important epistemological issues and debates. (shrink)

Consequentialism, many philosophers have claimed, asks too much of us to be a plausible ethical theory. Indeed, the theory's severe demandingness is often claimed to be its chief flaw. My thesis is that as we come to better understand this objection, we see that, even if it signals or tracks the existence of a real problem for Consequentialism, it cannot itself be a fundamental problem with the view. The objection cannot itself provide good reason to break with Consequentialism, because it (...) must presuppose prior and independent breaks with the view. The way the objection measures the demandingness of an ethical theory reflects rather than justifies being in the grip of key anti-Consequentialist conclusions. We should reject Consequentialism independently of the Objection or not at all. Thus, we can reduce by one the list of worrisome fundamental complaints against Consequentialism. (shrink)

The principle of alternate possibilities (PAP), making the ability to do otherwise a necessary condition for moral responsibility, is supposed by Harry Frankfurt, John Fischer, and others to succumb to a peculiar kind of counterexample. The paper reviews the main problems with the counterexample that have surfaced over the years, and shows how most can be addressed within the terms of the current debate. But one problem seems ineliminable: because Frankfurt''s example relies on a counterfactual intervener to preclude alternatives to (...) the person''s action, it is not possible for it to preclude all alternatives (intervention that is contingent upon a trigger cannot bring it about that the trigger never occurred). This makes it possible for the determined PAPist to maintain that some pre-intervention deviation is always available to ground moral responsibility. In reply, the critic of PAP can examine all the candidate deviations and argue their irrelevance to moral responsibility (a daunting prospect); or the critic can dispense with counterfactual intervention altogether. The paper pursues the second of these strategies, developing three examples of noncounterfactual intervention in which (i) the agent has no alternatives (and a fortiori no morally relevant alternatives), yet (ii) there is just as much reason to think that the agent is morally responsible as there was in Frankfurt''s original example. The new counterexamples do suffer from one liability, but this is insufficient in the end to repair PAP''s conceptual connection between moral responsibility and alternate possibilities. (shrink)

A wide range of prominent epistemological theories include a principle of conservatism. Such principles take the fact that an agent currently holds a certain belief to constitute at least some measure of epistemic justification for her to maintain that belief. I examine the main arguments that have been made in conservatism's behalf, and find them unsound. Most interestingly, conservatism does not fall out of confirmational holism (the view that the justification of each of our beliefs is in part determined by (...) our other beliefs). I argue that conservatism is a mild form of dogmatism, and should be abandoned. (shrink)

Much recent discussion in the philosophy of mathematics has concerned the indispensability argument—an argument which aims to establish the existence of abstract mathematical objects through appealing to the role that mathematics plays in empirical science. The indispensability argument is standardly attributed to W. V. Quine and Hilary Putnam. In this paper, I show that this attribution is mistaken. Quine's argument for the existence of abstract mathematical objects differs from the argument which many philosophers of mathematics ascribe to him. Contrary to (...) appearances, Putnam did not argue for the existence of abstract mathematical objects at all. I close by suggesting that attention to Quine and Putnam's writings reveals some neglected arguments for platonism which may be superior to the indispensability argument. (shrink)

The most immediately appealing model for formal constraints on degrees of belief is provided by probability theory, which tells us, for instance, that the probability of P can never be greater than that of (P v Q). But while this model has much intuitive appeal, many have been concerned to provide arguments showing that ideally rational degrees of belief would conform to the calculus of probabilities. The arguments most frequently used to make this claim plausible are the so-called "Dutch Book" (...) arguments. (shrink)

The figure of Francisco de Vitoria, founder of the so-called School of Salamanca and one of the most important professors of the University of Salamanca in the 16th century, has been considered on different occasions as an admirable model of a university professor. On one side, this article describes the scientific commitment of the School of Salamanca as a sign of an important dimension of university life: research. On the other side, the main features of Vitoria as a teacher will (...) be exposed. His teaching abilities will be taken into account, but also his capacity to involve other colleagues in a joint search for truth will be described. Finally, the renewing character of Vitoria’s Thomism in the framework of philosophy as a great ally of scientific dialogue will be considered. (shrink)

This essay focuses on three recent books on morality and virtue, Michael Slote's 'Morals from Motives', Rosalind Hursthouse's 'On Virtue Ethics', and Philippa Foot's 'Natural Goodness'. Slote proposes an "agent-based" ethical theory according to which the ethical status of acts is derivative from assessments of virtue. Following Foot's lead, Hursthouse aims to vindicate an ethical naturalism that explains human goodness on the basis of views about human nature. Both Hursthouse and Slote take virtue to be morally basic in a way (...) that Foot, to her credit, does not. We argue that all three views face a range of serious difficulties. (shrink)

Much contemporary epistemology is informed by a kind of confirmational holism, and a consequent rejection of the assumption that all confirmation rests on experiential certainties. Another prominent theme is that belief comes in degrees, and that rationality requires apportioning one's degrees of belief reasonably. Bayesian confirmation models based on Jeffrey Conditionalization attempt to bring together these two appealing strands. I argue, however, that these models cannot account for a certain aspect of confirmation that would be accounted for in any adequate (...) holistic confirmation theory. I then survey the prospects for constructing a formal epistemology that better accommodates holistic insights. (shrink)

A number of philosophers, from Thomas Reid1 through C. A. J. Coady2, have argued that one is justified in relying on the testimony of others, and furthermore, that this should be taken as a basic epistemic presumption. If such a general presumption were not ultimately dependent on evidence for the reliability of other people, the ground for this presumption would be a priori. Such a presumption would then have a status like that which Roderick Chisholm claims for the epistemic principle (...) that we are justified in believing what our senses tell us. (shrink)

Platonism in the philosophy of mathematics is the doctrine that there are mathematical objects such as numbers. John Burgess and Gideon Rosen have argued that that there is no good epistemological argument against platonism. They propose a dilemma, claiming that epistemological arguments against platonism either rely on a dubious epistemology, or resemble a dubious sceptical argument concerning perceptual knowledge. Against Burgess and Rosen, I show that an epistemological anti- platonist argument proposed by Hartry Field avoids both horns of their dilemma.

This paper considers the phenomenon of lying and the implications it has for those subjects who are capable of lying. It is argued that lying is not just intentional untruthfulness, but is intentional untruthfulness plus an insincere invocation of trust. Understood in this way, lying demands of liars a sophistication in relation to themselves, to language, and to those to whom they lie which exceeds the demands on mere truth-tellers.

Truthmaker theory promises to do some useful philosophical work: equipping us to argue against phenomenalism and Rylean behaviourism, for instance, and helping us decide what exists (Lewis 1999, 207; Armstrong 1997, 113-119). But it has proved hard to formulate a truthmaker theory that is both useful and believable. I want to suggest that a neglected approach to truthmakers – that of Ian McFetridge – can surmount some of the problems that make other theories of truthmaking unattractive. To begin with, I’ll (...) outline some of the most prominent accounts of truthmaking in the current literature. Then the second part of the paper will explain McFetridge’s theory and argue for its superiority over these accounts. (shrink)

Can we adequately account for our reasons of mere taste without holding that our desires ground such reasons? Recently, Scanlon and Parfit have argued that we can, pointing to pleasure and pain as the grounds of such reasons. In this paper I take issue with each of their accounts. I conclude that we do not yet have a plausible rival to a desire-based understanding of the grounds of such reasons.

It is obvious that we would not want to demand that an agent' s beliefs at different times exhibit the same sort of consistency that we demand from an agent' s simultaneous beliefs; there' s nothing irrational about believing P at one time and not-P at another. Nevertheless, many have thought that some sort of coherence or stability of beliefs over time is an important component of epistemic rationality.

Glymour's "bootstrap" account of confirmation is designed to provide an analysis of evidential relevance, which has been a serious problem for hypothetico-deductivism. As set out in Theory and Evidence, however, the "bootstrap" condition allows confirmation in clear cases of evidential irrelevance. The difficulties with Glymour's account seem to be due to a basic feature which it shares with hypothetico-deductive accounts, and which may explain why neither can give a satisfactory analysis of evidential relevance.

Implicit in our everyday attitudes and practices is the assumption that death ordinarily harms a person who dies. A far more contested matter is whether death harms sentient individuals who are not persons, a category that includes many animals and some human beings. On the basis of the deprivation account of the harm of death, I argue that death harms sentient nonpersons. I next consider possible bases for the commonsense judgment that death ordinarily harms persons more than it harms sentient (...) nonpersons. Contrary to what some philosophers believe, it is doubtful that the familiar resources of prudential value theory can vindicate this judgment. I show that the approach that at first glance seems most promising for supporting this judgment – namely, invoking an objective account of well-being – faces substantial challenges, before arguing that McMahan's time-relative interest account supplies the needed theoretical basis. I then go on to extract a significant practical implication of the first thesis, that death ordinarily harms sentient nonpersons: We should find a way to discontinue the routine killing of animal subjects following their use in experiments. (shrink)

Liberal-contractarian philosophies of justice see the unjust systems of slavery and autocracy in the past as being based on coercion—whereas the social order in modern democratic market societies is based on consent and contract. However, the ‘best’ case for slavery and autocracy in the past were consent-based contractarian arguments. Hence, our first task is to recover those ‘forgotten’ apologia for slavery and autocracy. To counter those consent-based arguments, the historical anti-slavery and democratic movements developed a theory of inalienable rights. Our (...) second task is to recover that theory and to consider several other applications of the theory. Finally, the liberal theories of justice expounded by John Rawls and by Robert Nozick are briefly examined from this perspective. (shrink)

A given causal system can be represented in a variety of ways. How do agents determine which variables to include in their causal representations, and at what level of granularity? Using techniques from Bayesian networks, information theory, and decision theory, we develop a formal theory according to which causal representations reflect a trade-off between compression and informativeness, where the optimal trade-off depends on the decision-theoretic value of information for a given agent in a given context. This theory predicts that, all (...) else being equal, agents prefer causal models that are as compressed as possible. When compression is associated with information loss, however, all else is not equal, and our theory predicts that agents will favor compressed models only when the information they sacrifice is not informative with respect to the agent’s anticipated decisions. We then show, across six studies reported here (N=2,364) and one study reported in the supplemental materials (N=182), that participants’ preferences over causal models are in keeping with the predictions of our theory. Our theory offers a unification of different dimensions of causal evaluation identified within the philosophy of science (proportionality and stability), and contributes to a more general picture of human cognition according to which the capacity to create compressed (causal) representations plays a central role. (shrink)

For a stable visual world, the colours of objects should appear the same under different lights. This property of colour constancy has been assumed to be fundamental to vision, and many experimental attempts have been made to quantify it. I contend here, however, that the usual methods of measurement are either too coarse or concentrate not on colour constancy itself, but on other, complementary aspects of scene perception. Whether colour constancy exists other than in nominal terms remains unclear.

I argue for a transformative revival or actualization of the very core of an integrative, methodologically secured form of intellect‑mystical asceticism. This approach draws on traditional sources that are re‑examined from a systematic—synthetic and transcultural—philosophical perspective and in light of the multi‑civilizational global environment of the 21st century. The main traditional points of reference in this paper are provided by Nicolaus de Cusa and Ibn Sīnā, and I refer toa few others, such as Attar of Nishapur, in passing. I begin (...) by developing a basic concept of intellect‑mystical asceticism. It is distinguished from mystification, science, scientism, and modes of everyday communication and cognition. Then, I make the case for an updated, transcultural approach to intellect‑mysticism that can foster the internal (social) and external (environmental) reintegration of the human noosphere and technosphere in future planetary development. In this context, a modern intellect‑mystical philosophical notion of “knowing non‑knowing” (wissendes Nichtwissen, docta ignorantia) is developed. It is inspired by Nicolaus de Cusa and contextualized from a systematic transcultural angle at the same time. Finally, I discuss the problem of the practical, or rather ascetic, realization of the related possibilities of intellect‑mystical self‑enfolding. Here, the preceding steps of the reflection are mapped onto an outline regarding distinct developmental stages of such a transformative intellect‑mystical practice in Ibn Sīnā’s Remarks and Admonitions (al‑Ishārāt wat‑Tanbīhāt). (shrink)

in Robin Le Poidevin (ed.) Being: Developments in Contemporary Metaphysics. Cambridge: Cambridge University Press. Peter van Inwagen claims that there are no tables or chairs. He also claims that sentences such as ‘There are chairs here’, which seem to imply their existence, are often true. This combination of views opens van Inwagen to a charge of self-contradiction. I explain the charge, and van Inwagen’s response to it, which involves the claim that sentences like ‘There are tables’ shift their truth-conditions between (...) different contexts of utterance. I present an alternative response which involves the negation of that claim, and argue that it is preferable to van Inwagen’s. (shrink)

The Brock-Rosen problem has been one of the most thoroughly discussed objections to the modal fictionalism bruited in Gideon Rosen’s ‘Modal Fictionalism’. But there is a more fundamental problem with modal fictionalism, at least as it is normally explained: the position does not resolve the tension that motivated it. I argue that if we pay attention to a neglected aspect of modal fictionalism, we will see how to resolve this tension—and we will also find a persuasive reply to the Brock-Rosen (...) objection. Finally, I discuss an alternative reading of Rosen, and argue that this position is also able to fend off the Brock-Rosen objection. (shrink)

Which premisses should we use to start our inquiries? Which transitions during inquiry should we take next? When should we switch lines of inquiry? In this paper, I address these open questions about inquiry, formulating novel norms for such decisions during deductive reasoning. I use the first-order predicate calculus, in combination with Carnap’s state description framework, to state such norms. Using that framework, I first demonstrate some properties of sets of sentences used in deduction. I then state some norms for (...) decisions made during deductive reasoning, establishing initial benchmarks for efficient deduction by ideal reasoners. When deciding which transition to make next, reasoners should choose the most informative transition, the one that maximally reduces uncertainty in the sense of ruling out the largest number of state descriptions relevant to their inquiry. Finally, inspired by optimal foraging theory, I show that, under certain assumptions of ignorance, reasoners should change premiss sets when their information intake drops below the global average information intake across premiss sets. (shrink)

One way in which philosophers have often sought to distinguish moral judgments from non-moral judgments is by using the “moral-conventional” distinction. I seek to raise serious questions about the significance of the moral-conventional distinction, at least for philosophers interested in moral judgment. I survey recent developments in the fields of philosophy, psychology, and cognitive science that have led many to the conclusion that moral judgment is not a distinctive kind of judgment or the result of a specific, identifiable cognitive process. (...) I argue that if this conclusion is largely correct, the moral-conventional distinction loses significance. If moral judgment does not correspond to a distinctive cognitive process, it is unclear how distinguishing between types of norms tracks anything of significance to human judgment formation. I then discuss the implications of abandoning the distinction for research in the field of moral psychology and tentatively propose a more modest way of conceiving of norm significance. (shrink)

Cartwright attempts to argue from an analysis of the composition of forces, and more generally the composition of laws, to the conclusion that laws must be regarded as false. A response to Cartwright is developed which contends that properly understood composition poses no threat to the truth of laws, even though agreeing with Cartwright that laws do not satisfy the "facticity" requirement. My analysis draws especially on the work of Creary, Bhaskar, Mill, and points towards a general rejection of Cartwright's (...) view that laws, especially fundamental laws, should be seen as false. (shrink)

This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability calculus. The previous attempts (...) all required the brackets to take values in ℤ₂. But the usual QM brackets <ψ|ϕ> give the "overlap" between states ψ and ϕ, so for subsets S,T⊆U, the natural definition is <S|T>=|S∩T| (taking values in the natural numbers). This allows QM/sets to be developed with a full probability calculus that turns out to be a non-commutative extension of classical Laplace-Boole finite probability theory. The pedagogical model is illustrated by giving simple treatments of the indeterminacy principle, the double-slit experiment, Bell's Theorem, and identical particles in QM/Sets. A more technical appendix explains the mathematics behind carrying some vector space structures between QM over ℂ and QM/Sets over ℤ₂. (shrink)

It is commonly acknowledged that, in order to test a theoretical hypothesis, one must, in Duhem' s phrase, rely on a "theoretical scaffolding" to connect the hypothesis with something measurable. Hypothesis-confirmation, on this view, becomes a three-place relation: evidence E will confirm hypothesis H only relative to some such scaffolding B. Thus the two leading logical approaches to qualitative confirmation--the hypothetico-deductive (H-D) account and Clark Glymour' s bootstrap account--analyze confirmation in relative terms. But this raises questions about the philosophical interpretation (...) of the technical conditions these accounts describe. What does it mean to say that E confirms H "relative to B"? How should we interpret the relation we are trying to analyze? (shrink)

Ismael aims for an understanding of the nature of an embedded perspective of agents in a world. If successful, this would explain a cluster of ways in which from an embedded perspective, we experience the world in an array of temporally asymmetric ways. Moreover, these are ways that have led many philosophers to rather metaphysically inflationary views about the nature of time, according to which time itself really is dynamical, and is characterized by the movement of an objectively (i.e., non-perspectival) (...) present. Ismael aims to explain these features of our experience without positing any such metaphysical picture. She argues that there are constraints which prevent us from taking this Olympian conception of the world and our place in it, and that these, jointly, explain why we experience the world in these temporally asymmetric ways. We take up two related questions. First, what it would mean to say that these constraints are not merely epistemic, and second, how far these constraints get us in explaining why we experience the world in these ways. (shrink)