Can God create a stone too heavy for him to lift? Can time have a beginning? Which came first, the chicken or the egg? Riddles, paradoxes, conundrums--for millennia the human mind has found such knotty logical problems both perplexing and irresistible. Now Roy Sorensen offers the first narrative history of paradoxes, a fascinating and eye-opening account that extends from the ancient Greeks, through the Middle Ages, the Enlightenment, and into the twentieth century. When Augustine asked what God was doing (...) before He made the world, he was told: "Preparing hell for people who ask questions like that." A Brief History of the Paradox takes a close look at "questions like that" and the philosophers who have asked them, beginning with the folk riddles that inspired Anaximander to erect the first metaphysical system and ending with such thinkers as Lewis Carroll, Ludwig Wittgenstein, and W.V. Quine. Organized chronologically, the book is divided into twenty-four chapters, each of which pairs a philosopher with a major paradox, allowing for extended consideration and putting a human face on the strategies that have been taken toward these puzzles. Readers get to follow the minds of Zeno, Socrates, Aquinas, Ockham, Pascal, Kant, Hegel, and many other major philosophers deep inside the tangles of paradox, looking for, and sometimes finding, a way out. Filled with illuminating anecdotes and vividly written, A Brief History of the Paradox will appeal to anyone who finds trying to answer unanswerable questions a paradoxically pleasant endeavor. (shrink)

The eclipse riddle -- Seeing surfaces -- The disappearing act -- Spinning shadows -- Berkeley's shadow -- Para-reflections -- Para-refractions : shadowgrams and the black drop -- Goethe's colored shadows -- Filtows -- Holes in the light -- Black and blue -- Seeing in black and white -- We see in the dark -- Hearing silence.

In _Plato on Democracy and Political technē_ Anders Dahl Sørensen offers an in-depth investigation of Plato’s discussions of democracy’s ‘epistemic potential’, arguing that this question is far more central to his political thought than is usually assumed.

In ”Formal Problems about Knowledge,” Roy Sorensen examines epistemological issues that have logical aspects. He uses Fitch's proof for unknowables and the surprise test paradox to illustrate the hopes of the modal logicians who developed epistemic logic, and he considers the epistemology of proof with the help of the knower paradox. One solution to this paradox is that knowledge is not closed under deduction. Sorensen reviews the broader history of this maneuver along with the relevant alternatives model of (...) knowledge which assumes that ”know” is an absolute term like ”flat.” Sorensen argues that the difference between epistemic absolute terms and extensional absolute terms gives rise to an asymmetry that undermines recent claims that there is a structural parallel between the supervaluational and epistemicist theories of vagueness, and he suggests that we have overestimated the ability of logical demonstration to produce knowledge. (shrink)

Can merely thinking about an imaginary situation provide evidence for how the world actually is--or how it ought to be? In this lively book, Roy A. Sorensen addresses this question with an analysis of a wide variety of thought experiments ranging from aesthetics to zoology. Presenting the first general theory of thought experiment, he sets it within an evolutionary framework and integrates recent advances in experimental psychology and the history of science, with special emphasis on Ernst Mach and Thomas (...) Kuhn. Sorensen explores what thought experiments are, how they work, and what their virtues and vices are. In his view, philosophy differs from science in degree, but not in kind. For this reason, he claims, it is possible to understand philosophical thought experiments by concentrating on their resemblance to scientific relatives. Sorensen assesses the hazards of thought experiments and grants that there are interesting ways in which the method leads us astray, but attacks most scepticism about thought experiments as arbitrary. He maintains that they should be used--as they generally are--as part of a diversified portfolio of techniques, creating a network of cross-checks that make for impressive reliability. (shrink)

A so called “weak value” of an observable in quantum mechanics (QM) may be obtained in a weak measurement + post-selection procedure on the QM system under study. Applied to number operators, it has been invoked in revisiting some QM paradoxes (e.g., the so called Three-Box Paradox and Hardy’s Paradox). This requires the weak value to be interpreted as a bona fide property of the system considered, a par with entities like operator mean values and eigenvalues. I question such an (...) interpretation; it has no support in the basic axioms of quantum mechanics and it leads to unreasonable results in concrete situations. (shrink)

The purpose of this article is to present a normative theory of the goals of medicine (a theory that tells us in what respects medicine should benefit the patient) that is both comprehensive and unified. A review of the relevant literature suggests that there are at least seven plausible goals that are irreducible to each other, namely to promote functioning, to maintain or restore normal structure and function, to promote quality of life, to save and prolong life, to help the (...) patient to cope well with her condition, to improve the external conditions under which people live, and to promote the growth and development of children. However, it seems that all these goals need to be qualified in different ways, e.g. it does not seem reasonable to improve physiological function or functional ability unless this is expected to have positive effects on quality of life and/or length of life, or to improve the quality of life in any respect, or by any means. These qualifications all suggest that the proposed goals are, as goals, conceptually, and not just causally, related to one another, and that they should therefore not be regarded in isolation. Instead, we should think of the medical enterprise as having a multidimensional goal structure rather than a single goal. In order to depict clearly how the different goals are related to one another, a multidimensional model is constructed. (shrink)

In a recent paper, Takacs and Bourrat (Biol Philos 37:12, 2022) examine the use of geometric mean reproductive output as a measure of biological fitness. We welcome Takacs and Bourrat’s scrutiny of a fitness definition that some philosophers have adopted uncritically. We also welcome Takacs and Bourrat’s attempt to marry the philosophical literature on fitness with the biological literature on mathematical measures of fitness. However, some of the main claims made by Takacs and Bourrat are not correct, while others are (...) correct but not for the reasons they give. (shrink)

In recent years, several formalisms for program construction have appeared. One such formalism is the type theory developed by Per Martin-L f. Well suited as a theory for program construction, it makes possible the expression of both specifications and programs within the same formalism. Furthermore, the proof rules can be used to derive a correct program from a specification as well as to verify that a given program has a certain property. This book contains a thorough introduction to type theory, (...) with information on polymorphic sets, subsets, monomorphic sets, and a full set of helpful examples. (shrink)

Harm-reduction approaches are used to reduce the burden of risky human behaviour without necessarily aiming to stop the behaviour. We discuss what an introduction of harm reduction for doping in sports would mean in parallel with a relaxation of the antidoping rule. We analyse what is ethically at stake in the following five levels: (1) What would it mean for the athlete (the self)? (2) How would it impact other athletes (the other)? (3) How would it affect the phenomenon of (...) sport as a game and its fair play basis (the play)? (4) What would be the consequences for the spectator and the role of sports in society (the display)? and (5) What would it mean for what some consider as essential to being human (humanity)? For each level, we present arguments for and against doping and then discuss what a harm-reduction approach, within a dynamic regime of a partially relaxed antidoping rule, could imply. We find that a harm-reduction approach is morally defensible and potentially provides a viable escape out of the impasse resulting from the impossibility of attaining the eradication of doping. The following question remains to be answered: Would a more relaxed position, when combined with harm-reduction measures, indeed have less negative consequences for society than today9s all-out antidoping efforts that aim for abstinence? We provide an outline of an alternative policy, allowing a cautious step-wise change to answer this question and then discuss the ethical aspects of such a policy change. (shrink)

A Cabinet of Philosophical Curiosities is a collection of puzzles, paradoxes, riddles, and miscellaneous logic problems. Depending on taste, one can partake of a puzzle, a poem, a proof, or a pun.

This anthology focuses on “practical” forms and expressions of knowledge, like thinking through artistic media or by crafting things out of materials. The ten chapters follow and review various tracks in conceptions of contemporary knowledge, exploring human knowledge and experience from the perspective of human activities or practices, professional, artistic, domestic, or whatever. A guiding idea is that human knowledge seldom, perhaps never, fits into the traditional dualism between thinking and doing. -/- The chapters are written by philosophers and musicians (...) – some with a double experience as artists and theoreticians. The themes are philosophical, but above all, they touch on questions that are essential for how we understand ourselves as thinking and playing bodies, indeed as parts of nature. The book does not propose one single “theory of knowledge” but steps towards a more diverse and open attitude to the meaning of knowledge. -/- We hope that the texts will be of interest and useful in both disciplinebased and professional education: in philosophy, art schools, tea cher education, and in other programmes where tacit and practical knowledge are essential for the (future) practitioners. It is possible to independently read, and profit from, most of the chapters. (shrink)

The recent discussion of the concept of mental disorder has focused on what makes a mental disorder a disorder. A question that has received less attention is what makes a mental disorder mental rather than somatic. We examine three views on this issue -- namely, the internal cause view, the symptom view, and the pluralist view -- and assess to what extent these accounts are plausible. Three strategies used to pinpoint the mental in psychiatry are identified, namely negative characterizations, exemplification (...) of paradigmatic mental features, and an appeal to intentional content. We also examine different versions of nihilism. Finally, it is observed that the discussion of what makes a mental disorder mental has largely been unaffected by conceptions of the mental in the philosophy of mind. (shrink)

One of the claims sometimes advanced in favour of anti-doping is that allowing doping would lead to a uniform increase in performance in comparison to no doping. The idea is that if all athletes wo...

This study was directed towards personality-related, value system and sociodemographic variables of nursing students in a situation of change, using a longitudinal perspective to measure their improvement in principle-based moral judgement (Kohlberg; Rest) as possible predictors of stress. Three subgroups of students were included from the commencement of the first three-year academic nursing programme in 1993. The students came from the colleges of health at Jönköping, Växjö and Kristianstad in the south of Sweden. A principal component factor analysis (varimax) was (...) performed using data obtained from the students in the spring of 1994 (n = 122) and in the spring of 1996 (n = 112). There were 23 variables, of which two were sociodemographic, eight represented self-image, six were self-values, six were interpersonal values, and one was principle-based moral judgement. The analysis of data from students in the first year of a three-year programme demonstrated eight factors that explained 68.8% of the variance. The most important factors were: (1) ascendant decisive disorderly sociability and nonpractical mindedness (18.1% of the variance); (2) original vigour person-related trust (13.3% of the variance); (3) orderly nonvigour achievement (8.9% of the variance) and (4) independent leadership (7.9% of the variance). (The term ‘ascendancy’ refers to self-confidence, and ‘vigour’ denotes responding well to challenges and coping with stress.) The analysis in 1996 demonstrated nine factors, of which the most important were: (1) ascendant original sociability with decisive nonconformist leadership (18.2% of the variance); (2) cautious person-related responsibility (12.6% of the variance); (3) orderly nonvariety achievement (8.4% of the variance); and (4) nonsupportive benevolent conformity (7.2% of the variance). A comparison of the two most prominent factors in 1994 and 1996 showed the process of change to be stronger for 18.2% and weaker for 30% of the variance. Principle-based moral judgement was measured in March 1994 and in May 1996, using the Swedish version of the Defining Issues Test and Index P. The result was that Index P for the students at Jönköping changed significantly (paired samples t-test) between 1994 and 1996 (p = 0.028), but that for the Växjö and Kristianstad students did not. The mean of Index P was 44.3% at Växjö, which was greater than the international average for college students (42.3%); it differed significantly in the spring of 1996 (independent samples t-test), but not in 1994, from the students at Jönköping (p = 0.032) and Kristianstad (p = 0.025). Index P was very heterogeneous for the group of students at Växjö, with the result that the paired samples t-test reached a value close to significance only. (shrink)

For most of his career, Kant accepts Augustine's requirement that lying requires an intention to deceive. However, he eventually converts to Aquinas, following him in rejecting this requirement in favor of Aristotle's teleological conception of lying. This change of view amounts to an improvement, for it makes room for the possibility of lying to an omniscient being—and such lies, we argue, are indeed possible. We accompany these historical and philosophical theses with a biographical thesis taking the form of the following (...) story. Kant believed that in his youth he had lied to God, largely because of his religious training. He adopted policies designed to help him resist the habit of lying to God. However, this program conflicted with his desire to lead a well‐rounded life as a public intellectual. This worldly ambition led him to forego the Quaker solution to the problem of lying to God: refuse to swear any oath to God, avoid set prayers and hymns, decline offers of intercession by clergy. Kant's worldly compromise served him well, but as he entered his twilight years, he came to worry that his only surviving argument for theism—the moral argument—might constitute a relapse into the vice of lying to God. (shrink)

How to measure fitness in the theory of natural selection? A fitness measure that has been proposed in both the biological and the philosophical literature is the expected relative reproductive success. The aim of this article is to examine the relationship between expected relative reproductive success and future actual evolutionary success. Doing so will not only clarify the use of expected relative reproductive success as a fitness measure but also shed light on the role of fitness in the theory of (...) natural selection. _1_ Introduction _2_ The Role of Fitness _3_ Geometric Mean versus Expected Relative Reproductive Success _4_ Reconciliation _5_ Reconciliation Continued _6_ Alternative Justifications _7_ Conclusion. (shrink)

You face two buttons. Pushing one will destroy Greensboro. Pushing the other will save it. There is no way for you to know which button saves and which destroys. What ought you to do? Answer: You ought to make the correct guess and push the button that saves Greensboro. Second question: Do you have an obligation to push the correct button?

Quantum mechanical weak values of projection operators have been used to answer which-way questions, e.g. to trace which arms in a multiple Mach–Zehnder setup a particle may have traversed from a given initial to a prescribed final state. I show that this procedure might lead to logical inconsistencies in the sense that different methods used to answer composite questions, like “Has the particle traversed the way X or the way Y?”, may result in different answers depending on which methods are (...) used to find the answer. I illustrate the problem by considering some examples: the “quantum pigeonhole” framework of Aharonov et al., the three-box problem, and Hardy’s paradox. To prepare the ground for my main conclusion on the incompatibility in certain cases of weak values and logic, I study the corresponding situation for strong/projective measurements. In this case, no logical inconsistencies occur provided one is always careful in specifying exactly to which ensemble or sample space one refers. My results cast doubts on the utility of quantum weak values in treating cases like the examples mentioned. (shrink)

Many of the major challenges facing global society are unstructured collective harms (e.g., global warming): collective in the sense that they arise as the result of the actions of, or interactions among, multiple agents, and unstructured in the sense that there is no coordination or intention to cause harm among these agents. But how should we distribute moral responsibility for these harms? In this paper, an answer is proposed to this question. This answer builds on but develops existing proposals by (...) drawing together literatures that speak to different aspects of the question. First, it is argued that the notion of causal contribution needs to be broadened to include the idea of causation as production. Second, it is discussed how the voluntariness and foreseeability conditions are best interpreted in this context. Third, literature on moral taint is drawn to introduce additional objective (external) criteria. (shrink)

Is science in the midst of a crisis of replicability and false discoveries? In a recent article, Alexander Bird offers an explanation for the apparent lack of replicability in the biomedical sciences. Bird argues that the surprise at the failure to replicate biomedical research is a result of the fallacy of neglecting the base rate. The base-rate fallacy arises in situations in which one ignores the base rate—or prior probability—of an event when assessing the probability of this event in the (...) light of some observed evidence. By extension, the replication crisis would result from ignoring the low prior probability of biomedical hypotheses. In this paper, my response to Bird’s claim is twofold. First, I show that the argument according to which the replication crisis is due to the low prior of biomedical hypotheses is incomplete. Second, I claim that a simple base-rate fallacy model does not account for some important methodological insights that have emerged in discussions of the replication crisis. (shrink)

Bumped from a flight? Relax with this defense of the big business practice of deliberately promising more services than one will provide. On a small scale, over‐promising yields a toxic moral dilemma and a lie. At a large scale, the dilemma becomes dilute, and the lie completely disappears. Overbooking is honest because there is a sufficiently high probability of fulfilling each promise. Overbooking is socially beneficial because the promised resources are used more efficiently. There are fewer wasted seats on jumbo (...) jets and hence cheaper tickets with less pollution. Widespread disapproval of overbooking is a fallacious scaling error. Instead of there being too much overbooking, there is too little. (shrink)

All definitions of mental disorder are backed up by arguments that rely on general criteria (e.g., that a definition should be consistent with ordinary language). These desiderata are rarely explicitly stated, and there has been no systematic discussion of how different definitions should be assessed. To arrive at a well-founded list of desiderata, we need to know the purpose of a definition. I argue that this purpose must be practical; it should, for example, help us determine who is entitled to (...) publicly funded health care. I then propose eight conditions of adequacy that can be used to assess competing definitions (e.g., the ordinary language condition, the coherence condition, and the condition of normative adequacy). These conditions pull in different directions, however, and we must decide which are most important. I also suggest that there is no single definition that can help us deal with all the relevant practical issues. (shrink)

Ockham’s razor is the idea that simpler hypotheses are to be preferred over more complex ones. In the context of medical diagnosis, this is taken to mean that when a patient has multiple symptoms, a single diagnosis should be sought that accounts for all the clinical features, rather than attributing a different diagnosis to each. This paper examines whether diagnostic parsimony can be justified by reference to probability theory. I argue that while attempts to offer universal justifications of diagnostic parsimony (...) fail, a more constrained use of this diagnostic principle can be supported. (shrink)

Attributions of what we shall call normative responsibilities play a central role in everyday moral thinking. It is commonly thought, for example, that parents are responsible for the wellbeing of their children, and that this has important normative consequences. Depending on context, it might mean that parents are morally required to bring their children to the doctor, feed them well, attend to their emotional needs, or to see to it that someone else does. Similarly, it is sometimes argued that countries (...) that emit most greenhouse gases are responsible for preventing catastrophic climate change. This responsibility might imply that these countries are morally required to take necessary steps individually and jointly to come to an agreement on and implement a workable plan, and to avoid steps that worsen the situation. More trivially, the grading of your student’s essays might be your responsibility, as might making sure there is wine at tomorrow’s picnic, and you might thus be required to see to it that essays are competently graded and suitable wine brought to the picnic. -/- Though attributions of normative responsibilities are legion, such responsibilities have received surprisingly little philosophical attention compared to its normative relatives, obligations and reasons, and compared to retrospective responsibility. This chapter hopes to improve on this situation by taking on two main tasks. The first, attempted in section 1, is to spell out the general structure of normative responsibility, in particular the relation between normative responsibilities and corresponding obligations and demands. We suggest that normative responsibilities are constituted by normative requirements that the responsible agents care appropriately about how well things go in certain regards, and that obligations generally can be seen as straightforward upshots of requirements to care. -/- The second task, taken on in section 2, is to provide an overview of prominent sources of normative responsibility and its distribution among agents. Why would the children’s wellbeing be the parents’ responsibility? Why not the neighbor’s, or the state’s, or everyone’s? Here we discuss a range of possible sources, including agents’ abilities, costs involved in taking on the responsibility in question, retrospective responsibility for the situation, promises or contracts, and certain social relationships. (shrink)

From good intentions to real life: introducing crisis resolution teams in Norway In Norway, as in most western countries, the adult services for people experiencing mental health problems have gone through major changes over the last decades. A report submitted to the Norwegian Parliament in 1997 summarized several areas of improvement in the provision of mental health‐care to its population, and led to the introduction of a national mental health programme in 1998 for its implementation to be completed by 2008. (...) The most significant recent development in Norway is ‘Crisis Resolution/Home Treatment’ (CRHT) teams that provide an alternative to acute hospital care services. The major aim of this study is to explore an emerging form of community mental health‐care, and present a framework for establishment and examination of CRHT teams applying the user perspectives. An illustration of user experiences in an already established CRHT team provides a background for understanding implications of this form of service in relation to service users’ needs in acute crises. (shrink)

It is now generally agreed that we have to rely on value judgments to distinguish mental disorders from other conditions, but it is not quite clear how. To clarify this, we need to know more than to what extent attributions of disorder are dependent on values. We also have to know (1) what kind of evaluations we have to rely on to identify the class of mental disorder; (2) whether attributions of disorder contain any implicit reference to some specific evaluative (...) standard; and (3) whether the concept of mental disorder is value laden in the definitional or in the epistemic sense. I will argue that the evaluations we have to rely on are mainly considerations of harm, but that we also need to rely on other evaluations; that there should be no references to specific evaluative standards; and that even though mental disorders are necessarily undesirable, "mental disorder" may well be a descriptive phrase. (shrink)

The paper discusses Bayesian convergence when the truth is excluded from the analysis by means of a simple coin-tossing example. In the fair-balance paradox a fair coin is tossed repeatedly. A Bayesian agent, however, holds the a priori view that the coin is either biased towards heads or towards tails. As a result the truth is ignored by the agent. In this scenario the Bayesian approach tends to confirm a false model as the data size goes to infinity. I argue (...) that the fair-balance paradox reveals an unattractive feature of the Bayesian approach to scientific inference and explore a modification of the paradox. (shrink)

The paper examines the claim that significance testing violates the Principle of Total Evidence. I argue that p-values violate PTE for two-sided tests but satisfy PTE for one-sided tests invoking a sufficient test statistic independent of the preferred theory of evidence. While the focus of the paper is to evaluate a particular claim about the relationship of significance testing and PTE, I clarify the reading of this methodological principle along the way.

The paper offers a partial vindication of Sterelny’s view on the role of error rates and reliability in his theory of decoupled representation based on modelling techniques borrowed from the biological literature on evolution in stochastic environments. In the case of a tight link between tracking states and behaviour, I argue that in its full generality Sterelny’s account instantiates the base-rate fallacy. With regard to non-tightly linked behaviour, I show that Sterelny’s account can be vindicated subject to an adequate evolutionary (...) model and a suitable notion of reliability. (shrink)

Do not pass by my epitaph, Wayfarer, but when you have stopped, hear and learn, then depart. There is no boat, To carry you to Hades, No ferryman Charon, No judge Aeacus, No Dog Cerberus. All of us below have become bones and ashes. Truly, I have nothing more to tell you. So depart, wayfarer, Lest dead though I am I seem to you to be a teller of vain tales.

Although Bayesian methods are widely used in phylogenetic systematics today, the foundations of this methodology are still debated among both biologists and philosophers. The Bayesian approach to phylogenetic inference requires the assignment of prior probabilities to phylogenetic trees. As in other applications of Bayesian epistemology, the question of whether there is an objective way to assign these prior probabilities is a contested issue. This paper discusses the strategy of constraining the prior probabilities of phylogenetic trees by means of the Principal (...) Principle. In particular, I discuss a proposal due to Velasco (Biol Philos 23:455–473, 2008) of assigning prior probabilities to tree topologies based on the Yule process. By invoking the Principal Principle I argue that prior probabilities of tree topologies should rather be assigned a weighted mixture of probability distributions based on Pinelis’ (P Roy Soc Lond B Bio 270:1425–1431, 2003) multi-rate branching process including both the Yule distribution and the uniform distribution. However, I argue that this solves the problem of the priors of phylogenetic trees only in a weak form. (shrink)