Inspired by Rudolf Carnap's Der Logische Aufbau Der Welt, David J. Chalmers argues that the world can be constructed from a few basic elements. He develops a scrutability thesis saying that all truths about the world can be derived from basic truths and ideal reasoning. This thesis leads to many philosophical consequences: a broadly Fregean approach to meaning, an internalist approach to the contents of thought, and a reply to W. V. Quine's arguments against the analytic and the a (...) priori. Chalmers also uses scrutability to analyze the unity of science, to defend a conceptual approach to metaphysics, and to mount a structuralist response to skepticism. Based on the 2010 John Locke lectures, Constructing the World opens up debate on central philosophical issues involving language, consciousness, knowledge, and reality. This major work by a leading philosopher will appeal to philosophers in all areas. This entry contains uncorrected proofs of front matter, chapter 1, and first excursus. (shrink)

The aim of this article is to show that externalist accounts of cognition such as Clark and Chalmers' (1998) “active externalism” lead to an explosion of knowledge that is caused by online resources such as Wikipedia and Google. I argue that externalist accounts of cognition imply that subjects who integrate mobile Internet access in their cognitive routines have millions of standing beliefs on unexpected issues such as the birth dates of Moroccan politicians or the geographical coordinates of villages in southern (...) Indonesia. Although many externalists propose criteria for the bounds of cognition that are designed to avoid this explosion of knowledge, I argue that these criteria are flawed and that active externalism has to accept that information resources such as Wikipedia and Google constitute extended cognitive processes. (shrink)

People are often offended by beliefs, expect apologies for beliefs, apologize for their own beliefs. In many mundane cases, people are morally criticized for their beliefs. Intuitively, then, beliefs seem to sometimes wrong people. Recently, the philosophical literature has picked up on this theme, and has started to discuss it under the heading of doxastic wrongdoing. In this paper we argue that despite the strength of such initial intuitions, at the end of the day they have to be rejected. If (...) it can be ever truthfully asserted that beliefs wrong, this is always derivative – beliefs wrong only in virtue of other things (like evidence-gathering actions) wronging. We distinguish between modest and ambitious doxastic wrongdoing theories (the former deny, while the latter accept, the possibility of a morally wrong yet epistemically permissible belief); we argue that each of these options faces insurmountable problems; and we offer partly debunking explanations of the intuitions purportedly supporting doxastic wrongdoing. (shrink)

According to orthodoxy, our best physical theories strongly support Eternalism over Presentism. Our goal is to argue against this consensus, by arguing that a certain overlooked aspect of our best physical theories strongly supports Presentism over Eternalism.

Many philosophers of physics think that physical rates of change, like velocity or acceleration in classical physics, are extrinsic. Many philosophers of mind think that phenomenal properties, which characterize what it’s like to be an agent at a time, are intrinsic. I will argue that these two views can’t both be true. Given that these two views are in tension, we face an explanatory challenge. Why should there be any interesting connection between these physical quantities and consciousness in the first (...) place? In a speculative spirit, I close by developing a panpsychist view which promises to explain this connection in a particularly satisfying way. (shrink)

I argue that it is metaphysically necessary that: (i) every fundamental entity is conscious, and (ii) every fundamental property is a phenomenal property.

This paper presents and motivates a new philosophical and logical approach to truth and semantic paradox. It begins from an inferentialist, and particularly bilateralist, theory of meaning---one which takes meaning to be constituted by assertibility and deniability conditions---and shows how the usual multiple-conclusion sequent calculus for classical logic can be given an inferentialist motivation, leaving classical model theory as of only derivative importance. The paper then uses this theory of meaning to present and motivate a logical system---ST---that conservatively extends classical (...) logic with a fully transparent truth predicate. This system is shown to allow for classical reasoning over the full (truth-involving) vocabulary, but to be non-transitive. Some special cases where transitivity does hold are outlined. ST is also shown to give rise to a familiar sort of model for non-classical logics: Kripke fixed points on the Strong Kleene valuation scheme. Finally, to give a theory of paradoxical sentences, a distinction is drawn between two varieties of assertion and two varieties of denial. On one variety, paradoxical sentences cannot be either asserted or denied; on the other, they must be both asserted and denied. The target theory is compared favourably to more familiar related systems, and some objections are considered. (shrink)

The zetetic turn in epistemology raises three questions about epistemic and zetetic norms. First, there is the relationship question: what is the relationship between epistemic and zetetic norms? Are some epistemic norms zetetic norms, or are epistemic and zetetic norms distinct? Second, there is the tension question: are traditional epistemic norms in tension with plausible zetetic norms? Third, there is the reaction question: how should theorists react to a tension between epistemic and zetetic norms? Drawing on an analogy to practical (...) philosophy, I develop a focal point view to resolve these motivating questions. On the focal point view, traditional epistemic norms and zetetic norms answer different types of normative questions. There is nevertheless a familiar type of evaluative tension between traditional epistemic norms and zetetic norms, but this tension is an unavoidable feature of the normative landscape and not a sign that traditional epistemic norms need revision. But if traditional epistemic norms are not zetetic norms, then in what sense is zetetic epistemology a project for epistemologists? I conclude by articulating a sense in which some nontraditional epistemic norms are zetetic norms, and in which zetetic epistemology is an important part of the study of theoretical rationality. (shrink)

Here, I put forth a construal of P. F. Strawson’s so-called reversal, his view that what it means to be morally responsible is determined by our practices of holding responsible. The “concern-based” construal that I defend holds that what it means to be morally responsible is determined by the basic social concerns of which our practices are an expression. This construal, I argue, avoids a dilemma that Patrick Todd has recently raised for the reversal.

Philosophy is inserted as a pedagogical novelty, a sort of renewal of the preparation of young people for adult life. However, what begins as an educational reform ends up representing a genuine intellectual approach: the formulation of scientific knowledge emerges from it. Philosophy goes beyond the originally narrow boundaries of paideia, understood as education of the young, to become a way of life also for adults. However, this does not prevent Greek and Roman philosophy can be understood as a community (...) of life, if not always between “teachers and disciples”, at least between “lovers of knowledge”, philosophers, who are also among themselves lovers, i.e. “friends”. For these reasons, these pages begin with a brief consideration of the Greek paideia, from traditional religion to philosophy. Second, the paper exposes the important imitative character of Greek education inherited by philosophy. Third, the article pays attention to a privileged context for the development of imitation, the philosophical friendship, the discipleship among philosophers itself. In friendship we will find a context that overcomes some of the limitations posed by education founded on imitation. (shrink)

Several themes of David Lewis's theory of counterfactuals, especially their sensitivity to context, pave the way for a viable theory of non-trivial counterpossibles. If Lewis was successful in defending his account against the early objections, a semantics of counterpossibles can be defended from similar objections in the same way. The resulting theory will be extended to address 'might' counterfactuals and questions about the relative "nearness" of impossible worlds.

The unpleasantness of pain motivates action. Hence many philosophers have doubted that it can be accounted for purely in terms of pain’s possession of indicative representational content. Instead, they have explained it in terms of subjects’ inclinations to stop their pains, or in terms of pain’s imperative content. I claim that such “noncognitivist” accounts fail to accommodate unpleasant pain’s reason-giving force. What is needed, I argue, is a view on which pains are unpleasant, motivate, and provide reasons in virtue of (...) possessing content that is indeed indicative, but also, crucially, evaluative. (shrink)

The law views with suspicion statistical evidence, even evidence that is probabilistically on a par with direct, individual evidence that the law is in no way suspicious of. But it has proved remarkably hard to either justify this suspicion, or to debunk it. In this paper, we connect the discussion of statistical evidence to broader epistemological discussions of similar phenomena. We highlight Sensitivity – the requirement that a belief be counterfactually sensitive to the truth in a specific way – as (...) a way of epistemically explaining the legal suspicion towards statistical evidence. Still, we do not think of this as a satisfactory vindication of the reluctance to rely on statistical evidence. Knowledge – and Sensitivity, and indeed epistemology in general – are of little, if any, legal value. Instead, we tell an incentive-based story vindicating the suspicion towards statistical evidence. We conclude by showing that the epistemological story and the incentive-based story are closely and interestingly related, and by offering initial thoughts about the role of statistical evidence in morality. (shrink)

Knowledge is widely thought to entail belief. But Radford has claimed to offer a counterexample: the case of the unconfident examinee. And Myers-Schulz and Schwitzgebel have claimed empirical vindication of Radford. We argue, in defense of orthodoxy, that the unconfident examinee does indeed have belief, in the epistemically relevant sense of dispositional belief. We buttress this with empirical results showing that when the dispositional conception of belief is specifically elicited, people’s intuitions then conform with the view that knowledge entails (dispositional) (...) belief. (shrink)

The singularity hypothesis is a radical hypothesis about the future of artificial intelligence on which self-improving artificial agents will quickly become orders of magnitude more intelligent than the average human. Despite the ambitiousness of its claims, the singularity hypothesis has been defended at length by leading philosophers and artificial intelligence researchers. In this paper, I argue that the singularity hypothesis rests on scientifically implausible growth assumptions. I show how leading philosophical defenses of the singularity hypothesis (Chalmers 2010, Bostrom 2014) fail (...) to overcome the case for skepticism. I conclude by drawing out philosophical implications of this discussion for our understanding of consciousness, personal identity, digital minds, existential risk, and ethical longtermism. GPI Working Paper No . 19-2022. (shrink)

We are quickly passing through the historical moment when people work in front of a single computer, dominated by a small CRT and focused on tasks involving only local information. Networked computers are becoming ubiquitous and are playing increasingly significant roles in our lives and in the basic infrastructure of science, business, and social interaction. For human-computer interaction o advance in the new millennium we need to better understand the emerging dynamic of interaction in which the focus task is no (...) longer confined to the desktop but reaches into a complex networked world of information and computer-mediated interactions. We think the theory of distributed cognition has a special role to play in understanding interactions between people and technologies, for its focus has always been on whole environments: what we really do in them and how we coordinate our activity in them. Distributed cognition provides a radical reorientation of how to think about designing and supporting human-computer interaction. As a theory it is specifically tailored to understanding interactions among people and technologies. In this article we propose distributed cognition as a new foundation for human-computer interaction, sketch an integrated research framework, and use selections from our earlier work to suggest how this framework can provide new opportunities in the design of digital work materials. (shrink)

Does it count against a normative theory in political philosophy that it is in some important sense infeasible, that its prescriptions are unlikely to be complied with? Though a positive answer seems plausible, it has proved hard to defend against the claim that this is not how normative theories work - noncompliance shows a problem with the noncomplying agents, not with the normative theory. I think that this line of thought - this defense of Utopianism - wins the battle but (...) loses the war. It’s right about what does and what does not refute a normative theory. It’s wrong in misidentifying the problem. The right way to think about the feasibility worry is as essentially involving multiple agents, and how expected noncompliance by one agent may refute a normative claim addressed at another. Thus understood, feasibility problems may very well refute a theory in political philosophy. In this paper I develop this understanding of the feasibility worry, tie it to more general discussions in normative ethics, and in political philosophy. (shrink)

Epistemic nihilism for inquiry is the claim that there are no epistemic norms of inquiry. Epistemic nihilism was once the received stance towards inquiry, and I argue that it should be taken seriously again. My argument is that the same considerations which led us away from epistemic nihilism in the case of belief not only cannot refute epistemic nihilism for inquiry, but in fact may well support it. These include the argument from non-existence that there are no non-epistemic reasons for (...) belief; the linguistic argument that epistemic norms of belief are needed to capture the semantics of ordinary epistemic talk; and the argument from theoretical roles that epistemic norms are needed to play key theoretical roles for rational belief. I conclude by sketching an alternative Gibbardian picture on which norms of inquiry are all-things-considered norms governing action. (shrink)

First published in 1990, _Existentialism_ is widely regarded as a classic introductory survey of the topic, and has helped to renew interest in existentialist philosophy. The author places existentialism within the great traditions of philosophy, and argues that it deserves as much attention from analytic philosophers as it has always received on the continent.

A qualitative study was conducted to examine the philosophy of technology of K-12 technology leaders, and explore the influence of their thinking on technology decision making. The research design aligned with CORBIN and STRAUSS grounded theory methods, and I proceeded from a research paradigm of critical realism. The subjects were school technology directors and instructional technology specialists, and data collection consisted of interviews and a written questionnaire. Data analysis involved the use of grounded theory methods including memo writing, open and (...) axial coding, constant comparison, the use of purposive and theoretical sampling, and theoretical saturation of categories. Three broad philosophy of technology views were widely held by participants: an instrumental view of technology, technological optimism, and a technological determinist perspective that saw technological change as inevitable. Technology leaders were guided by two main approaches to technology decision making, represented by the categories Educational goals and curriculum should drive technology, and Keep up with Technology (or be left behind). The core category and central phenomenon that emerged was that technology leaders approached technology leadership by placing greater emphasis on keeping up with technology, being influenced by an ideological orientation to technological change, and being concerned about preparing students for a technological future. (shrink)

Bounded rationality gets a bad rap in epistemology. It is argued that theories of bounded rationality are overly context‐sensitive; conventionalist; or dependent on ordinary language (Carr, 2022; Pasnau, 2013). In this paper, I have three aims. The first is to set out and motivate an approach to bounded rationality in epistemology inspired by traditional theories of bounded rationality in cognitive science. My second aim is to show how this approach can answer recent challenges raised for theories of bounded rationality. My (...) third aim is to clarify the role of rational ideals in bounded rationality. (shrink)

This paper overviews the current status of debates on tracking representationalism, the view that phenomenal consciousness is a matter of tracking features of one's environment in a certain way. We overview the main arguments for the view and the main objections and challenges it faces. We close with a discussion of alternative versions of representationalism that might overcome the shortcomings of tracking representationalism.

This chapter explores the relationship between ethical judgement writ large (as opposed to merely moral judgement) and motivation. We discuss arguments for and against views on which ethical judgement entails motivation, either alone or under conditions of rationality or normalcy, either at the individual or community level.

Do motivational limitations due to human nature constrain the demands of justice? Among those who say no, David Estlund offers perhaps the most compelling argument. Taking Estlund’s analysis of “ability” as a starting point, I show that motivational deficiencies can constrain the demands of justice under at least one common circumstance — that the motivationally-deficient agent makes a good faith effort to overcome her deficiency. In fact, my argument implies something stronger; namely, that the demands of justice are constrained (...) by what people are sufficiently likely to be motivated to do. Thus, contrary to the prevailing wisdom, it is the business of ideal theory — not just nonideal theory — to work with the motivational capacities people are likely enough to have. (See also Estlund's reply in the same issue of EJPT and my rejoinder on Philpapers.). (shrink)

Philosophy &Public Affairs, Volume 51, Issue 4, Page 373-412, Fall 2023.

Do psychological traits predict philosophical views? We administered the PhilPapers Survey, created by David Bourget and David Chalmers, which consists of 30 views on central philosophical topics (e.g., epistemology, ethics, metaphysics, philosophy of mind, and philosophy of language) to a sample of professional philosophers (N = 314). We extended the PhilPapers survey to measure a number of psychological traits, such as personality, numeracy, well-being, lifestyle, and life experiences. We also included non-technical ‘translations’ of these views for eventual use (...) in other populations. We found limited to no support for the notion that personality or demographics predict philosophical views. We did, however, find that some psychological traits were predictive of philosophical views, even after strict correction for multiple comparisons. Findings include: higher interest in numeracy predicted physicalism, naturalism, and consequentialism; lower levels of well-being and higher levels of mental illness predicted hard determinism; using substances such as psychedelics and marijuana predicted non-realist and subjectivist views of morality and aesthetics; having had a transformative or self-transcendent experience predicted theism and idealism. We discuss whether or not these empirical results have philosophical implications, while noting that 68% of our sample of professional philosophers indicated that such findings would indeed have philosophical value. (shrink)

Bernard Williams’ discussion of immortality in “The Makropulos Case: Reflections on the Tedium of Immortality” has spawned an entire philosophical literature. This literature tends to focus on one of Williams’ central claims: if we were to relinquish our mortality, we would necessarily become alienated from our existence and environment—“bored,” in his terms. Many theorists have defended this claim; many others have challenged it. Even if this claim is false, though, it still isn’t obvious that we should choose to relinquish our (...) mortality, given the option. And this is puzzling. Death is generally regarded as an evil, meriting anxiety, dread, and avoidance. What is it about our mortality that makes us hesitant to relinquish it? In this paper, I aim to explain this hesitancy and to argue in its favor: we should be hesitant to relinquish our mortality. Further, I take my discussion to suggest that most of us probably shouldn’t take this option if we were given it. To make these points, I draw on Williams’ discussion of immortality, developing and extending his thought in order to better understand how mortality shapes the way we relate to our lives, particularly the commitments and values that make them meaningful. Our mortality, it seems, plays a crucial role in our lives standing for something. Relinquishing it thus means risking the loss of this value. (shrink)

It is common for theorists, drawing on P. F. Strawson, to account for morally responsible agency in terms of the nature of the emotions and feelings that characterize our responsibility practices, in terms of the nature of the so-called “reactive attitudes.” Here, I argue against this attitude-based Strawsonian strategy, and I argue in favor of an alternative, which I call the “concern-based Strawsonian strategy.” On this alternative, rather than account for morally responsible agency in terms of the nature of the (...) reactive attitudes, one accounts for such agency in terms of the concern that leaves us susceptible to those attitudes in the first place. This, I believe, is a more promising way to develop the Strawsonian approach than the attitude-based strategy. The concern-based strategy allows us to better countenance the number and variety of the reactive attitudes that characterize our responsibility practices; it shares the attitude-based strategy’s virtues; and it seems to position us to better understand the distinctive social and moral significance associated with being and being regarded as a morally responsible agent. (shrink)

Why do people create extra representations to help them make sense of situations, diagrams, illustrations, instructions and problems? The obvious explanation— external representations save internal memory and com- putation—is only part of the story. I discuss seven ways external representations enhance cognitive power: they change the cost structure of the inferential landscape; they provide a structure that can serve as a shareable object of thought; they create persistent referents; they facilitate re- representation; they are often a more natural representation of (...) structure than mental representations; they facilitate the computation of more explicit encoding of information; they enable the construction of arbitrarily complex structure; and they lower the cost of controlling thought—they help coordinate thought. Jointly, these functions allow people to think more powerfully with external representations than without. They allow us to think the previously unthinkable. (shrink)

In “Freedom and Resentment,” P. F. Strawson argued that our responsibility practices reflect a distinctive and natural way we’re oriented toward other people: the participant attitude. This idea has been influential. However, it is also widely acknowledged that Strawson’s account of the participant attitude is at best incomplete. In this paper, I argue that the lacuna in Strawson’s thought corresponds to a lacuna in the wider literature on the moral psychology of responsibility. This lacuna, I hold, limits our understanding of (...) both our responsibility practices and what it means to be responsible. I then develop a more determinate account of the participant attitude, one that, I argue, promises to fill this lacuna and provide a unifying and illuminating framework for thinking about the moral psychology of responsibility. (shrink)

The chapter challenges hyperbolic claims about the centrality of appreciation of beauty to Buddhism. Within the texts, attitudes are more mixed, except for a form of 'inner beauty' - the beauty found in the expression of virtues or wisdom in forms of bodily comportment. Inner beauty is a stable presence throughout Buddhist history, practices, and art.

Experimental philosophy is often presented as a new movement that avoids many of the difficulties that face traditional philosophy. This article distinguishes two views of experimental philosophy: a narrow view in which philosophers conduct empirical investigations of intuitions, and a broad view which says that experimental philosophy is just the colocation in the same body of (i) philosophical naturalism and (ii) the actual practice of cognitive science. These two positions are rarely clearly distinguished in the literature about experimental philosophy, both (...) pro and con. The article argues, first, that the broader view is the only plausible one; discussions of experimental philosophy should recognize that the narrow view is a caricature of experimental philosophy as it is currently done. It then shows both how objections to experimental philosophy are transformed and how positive recommendations can be provided by adopting a broad conception of experimental philosophy. (shrink)

After Marx, dissenting economics almost always used 'the labour theory' as a theory of value. This paper develops a modern treatment of the alternative labour theory of property that is essentially the property theoretic application of the juridical principle of responsibility: impute legal responsibility in accordance with who was in fact responsible. To understand descriptively how assets and liabilities are appropriated in normal production, a 'fundamental myth' needs to be cleared away, and then the market mechanism of appropriation can be (...) understood. On the normative side, neoclassical theory represents marginal productivity theory as showing that (a metaphorical version of) the imputation principle is satisfied ('people get what they produce') in competitive enterprises. Since that shows the moral commitment of neoclassical economics to the imputation principle, the labour theory of property is presented here as the actual non-metaphorical application of the imputation principle to property appropriation. The property-theoretic analysis at the firm level shows how the neoclassical (and much heterodox) analysis in terms of 'distributive shares' wholly misframed the basic questions. Finally, the paper shows how the imputation principle (modernised labour theory of property) is systematically violated in the present wage labour system of renting persons. The paper can be seen as taking up the recent challenge posed by Donald Katzner for a dialogue between neoclassical and heterodox microeconomics. (shrink)

This paper replies to objections from perceptual distortion against the representationalist thesis that the phenomenal characters of experiences supervene on their intentional contents. It has been argued that some pairs of distorted and undistorted experiences share contents without sharing phenomenal characters, which is incompatible with the supervenience thesis. In reply, I suggest that such cases are not counterexamples to the representationalist thesis because the contents of distorted experiences are always impoverished in some way compared to those of normal experiences. This (...) can be shown by considering limit cases of perceptual distortion, for example, maximally blurry experiences, which manifestly lack details present in clear experiences. I argue that since there is no reasonable way to draw the line between distorted experiences that have degraded content and distorted experiences that do not, we should allow that an increase in distortion is always accompanied by a change in content. This applies to perceptual distortions due to blur, double vision, perspective, and illumination conditions. (shrink)

There have recently been a number of strong claims that normative considerations, broadly construed, influence many philosophically important folk concepts and perhaps are even a constitutive component of various cognitive processes. Many such claims have been made about the influence of such factors on our folk notion of causation. In this paper, we argue that the strong claims found in the recent literature on causal cognition are overstated, as they are based on one narrow type of data about a particular (...) type of causal cognition; the extant data do not warrant any wide-ranging conclusions about the pervasiveness of normative considerations in causal cognition. Of course, almost all empirical investigations involve some manner of ampliative inference, and so we provide novel empirical results demonstrating that there are types of causal cognition that do not seem to be influenced by moral considerations. (shrink)

Libertarian self-ownership views have traditionally maintained that we enjoy very powerful deontological protections against any infringement upon our property. This stringency yields very counter-intuitive results when we consider trivial infringements such as very mildly toxic pollution or trivial risks such having planes fly overhead. Maintaining that other people's rights against all infringements are very powerful threatens to undermine our liberty, as Nozick saw. In this paper I consider the most sophisticated attempts to rectify this problem within a libertarian self-ownership framework. (...) I argue that all of these responses are significantly flawed. (shrink)

Some philosophers have recently suggested that the reason mathematics is useful in science is that it expands our expressive capacities. Of these philosophers, only Stephen Yablo has put forward a detailed account of how mathematics brings this advantage. In this article, I set out Yablo’s view and argue that it is implausible. Then, I introduce a simpler account and show it is a serious rival to Yablo’s. 1 Introduction2 Yablo’s Expressionism3 Psychological Objections to Yablo’s Expressionism4 Introducing Belief Expressionism5 Objections and (...) Replies5.1 Yablo’s likely response5.2 Charity6 Conclusion. (shrink)

Recent objections to epistemic permissivism have a metaepistemic flavor. Impermissivists argue that their view best accounts for connections between rationality, planning and deference. Impermissivism is also taken to best explain the value of rational belief and normative assessment. These objections pose a series of metaepistemic explanatory challenges for permissivism. In this paper, I illustrate how permissivists might meet their explanatory burdens by developing two permissivist metaepistemic views which fare well against the explanatory challenges.

In this paper, we present three necessary conditions for morally responsible animal research that we believe people on both sides of this debate can accept. Specifically, we argue that, even if human beings have higher moral status than nonhuman animals, animal research is morally permissible only if it satisfies (a) an expectation of sufficient net benefit, (b) a worthwhile-life condition, and (c) a no unnecessary-harm/qualified-basic-needs condition. We then claim that, whether or not these necessary conditions are jointly sufficient conditions of (...) justified animal research, they are relatively demanding with the consequence that many animal experiments may fail to satisfy them. (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)