We show that Leitgeb’s dependence operator of Leitgeb is a \-operator and that this is best possible.

Some philosophers understand natural kinds to be the categories which are constraints on enquiry. In order to elaborate the metaphysics appropriate to such an account, I consider the complicated history of scurvy, citrus, and vitamin C. It may be tempting to understand these categories in a shallow way (as mere property clusters) or in a deep way (as fundamental properties). Neither approach is adequate, and the case instead calls for middle-range ontology: starting from categories which we identify in the world (...) and elaborating their structure, but not pretending to jump ahead to a complete story about fundamental being. (shrink)

In the axiomatic development of the logic of nonrelativistic quantum mechanics it is not difficult to set down certain plausible axioms which ensure that the quantum logic of propositions has the structure of an orthomodular poset. This can be done in a number of ways, for example, as in Gunson [2], Mackey [4], Piron [5], Varadarajan [7] and Zierler [8], and we summarise one of these ways in §2 below.

A brief overview of _A Philosophy of Cover Songs_, highlighting some of the main themes in the book. The first part addresses the nature of covers and makes some important initial distinctions. The second part addresses the appreciation and evaluation of covers. The third part addresses covers as a clue to the ontology of songs. Written to introduce a session at the American Society for Aesthetics Rocky Mountain Division meeting in Santa Fe, New Mexico (July 13, 2024).

We characterise explicitly the decidable predicates on integers of Infinite Time Turing machines, in terms of admissibility theory and the constructible hierarchy. We do this by pinning down ζ, the least ordinal not the length of any eventual output of an Infinite Time Turing machine (halting or otherwise); using this the Infinite Time Turing Degrees are considered, and it is shown how the jump operator coincides with the production of mastercodes for the constructible hierarchy; further that the natural ordinals associated (...) with the jump operator satisfy a Spector criterion, and correspond to the L ζ -stables. It also implies that the machines devised are "Σ 2 Complete" amongst all such other possible machines. It is shown that least upper bounds of an "eventual jump" hierarchy exist on an initial segment. (shrink)

It has been over two decades since Miranda Fricker labeled epistemic injustice, in which an agent is wronged in their capacity as a knower. The philosophical literature has proliferated with variants and related concepts. By considering cases in popular music, we argue that it is worth distinguishing a parallel phenomenon of art-interpretive injustice, in which an agent is wronged in their creative capacity as a possible artist. In section 1, we consider the prosecutorial use of rap lyrics in court as (...) a central case of this injustice. In section 2, we distinguish art-interpretive injustice from other categories already discussed in recent literature. In section 3, we discuss the relationship between genre discourse and identity prejudice. The case for recognizing the category of art-interpretive injustice is that it allows one to recognize a class of harms as being importantly related in ways that one would otherwise overlook. (shrink)

Let κ be a cardinal, and let H κ be the class of sets of hereditary cardinality less than κ ; let τ (κ) > κ be the height of the smallest transitive admissible set containing every element of {κ}∪H κ . We show that a ZFC-definable notion of long unfoldability, a generalisation of weak compactness, implies in the core model K, that the mouse order restricted to H κ is as long as τ. (It is known that some weak (...) large cardinal property is necessary for the latter to hold.) In other terms we delimit its strength as follows: Theorem Con(ZFC+ω2-Π 1 1-Determinacy) ⇒ ⇒Con(ZFC+V=K+∃ a long unfoldable cardinal ⇒ ⇒Con(ZFC+∀X(X # exists) + ‘‘ $\forall D \subseteq \omega_1 D$ is universally Baire ⇔ ∃r∈R(D∈L(r)))’’, and this is set-generically absolute). We isolate a notion of ω-closed cardinal which is weaker than an ω1-Erd\ os cardinal, and show that this bounds the first long unfoldable: Theorem Let κ be ω -closed. Then there is a long unfoldable ł<κ. (shrink)

We consider a question of Pereira as to whether the characteristic function of an internally approachable model can lead to free subsets for functions of the model. Pereira isolated the pertinent Approachable Free Subsets Property (AFSP) in his work on the $${\text {pcf}}$$ pcf -conjecture. A recent related property is the Approachable Bounded Subset Property (ABSP) of Ben-Neria and Adolf, and we here directly show it requires modest large cardinals to establish:TheoremIf ABSP holds for an ascending sequence $$ \langle \aleph (...) _{n_{m}} \rangle _{m}$$ ⟨ ℵ n m ⟩ m $$( n_{m} \in \omega )$$ ( n m ∈ ω ) then there is an inner model with measurables $$\kappa < \aleph _{\omega }$$ κ < ℵ ω of arbitrarily large Mitchell order below $$\aleph _{\omega }$$ ℵ ω, that is: $$\sup \left\{ \alpha \mid {\exists }\kappa < \aleph _{\omega } o ( \kappa ) \ge \alpha \right\} = \aleph _{\omega }$$ sup α ∣ ∃ κ < ℵ ω o ( κ ) ≥ α = ℵ ω. A result of Adolf and Ben Neria then shows that this conclusion is in fact the exact consistency strength of ABSP for such an ascending sequence. Their result went via the consistency of the non-existence of continuous tree-like scales; the result of this paper is direct and avoids the use of PCF scales. (shrink)

We show that the set of ultimately true sentences in Hartry Field's Revenge-immune solution model to the semantic paradoxes is recursively isomorphic to the set of stably true sentences obtained in Hans Herzberger's revision sequence starting from the null hypothesis. We further remark that this shows that a substantial subsystem of second-order number theory is needed to establish the semantic values of sentences in Field's relative consistency proof of his theory over the ground model of the standard natural numbers: -CA0 (...) (second-order number theory with a -comprehension axiom scheme) is insufficient. We briefly consider his claim to have produced a solution to the semantic paradoxes by introducing this conditional. We remark that the notion of a operator can be introduced in other settings. (shrink)

The use of the term `disease' in medicine is discussed, with particular reference to the issues raised by Kennedy (I) and the definition proposed by Campbell, Scadding and Roberts (2). Certain difficulties arising from this definition are considered, and a revised set of definitions is suggested, based on a distinction between diseasedness, contrasted both with health and with other sorts of problems, and nosological categories used to distinguish conditions calling for different treatments. The difference is stressed between those aspects of (...) medical decision-making which call for judgment on scientific grounds and those of the sort referred to by Kennedy, which involve ethical and political judgments. (shrink)

There is a history of thinking that photographs provide a special kind of access to the objects depicted in them, beyond the access that would be provided by a painting or drawing. What is included in the photograph does not depend on the photographer’s beliefs about what is in front of the camera. This feature leads Kendall Walton to argue that photographs literally allow us to see the objects which appear in them. Current generative algorithms produce images in response to (...) users’ text prompts. Depending on the parameters, the output can resemble specific people or things which are named in the prompt. This resemblance does not depend on the user’s beliefs, so generated images are in this sense like photographs. Given this parallel, how should we think about AI-generated images? (shrink)

These are details of research conducted in November and December 2007. The file is meant as a supplement to publication, and I have not attempted here to provide any analysis of the results.

Leerboek voor studenten aan de pedagogische academie en de opleiding voor kleuterleidsters, geschreven vanuit protestants christelijke achtergrond.

Typical discussions of virtual reality (VR) fixate on technology for providing sensory stimulation of a certain kind. They thus fail to understand reality as the place wherein we live and work, misunderstanding it instead as merely a sort of presentation. The first half of the paper examines popular conceptions of VR. The most common conception is a shallow one according to which VR is a matter of simulating appearances. Yet there is, even in popular depictions, a second, more subtle conception (...) according to which VR is a matter of facilitating new kinds of interaction. The latter half of the paper turns to questions about the contemporary technology of Internet chatrooms. The fact that chatrooms can be used in certain ways suggests something about the prospects for VR. The penultimate section asks whether chatrooms may legitimately be thought of as places. (In a sense, they may.) The final section asks whether cybersex may legitimately be thought of as sex. (Again, yes.) Chatroom technology thus provides an argument for the second conception of VR over its much ballyhooed rival. (shrink)

Originally published in 1936, this book presents the ancient Greek text of the paraphrases and quotations of Zeno's philosophical arguments, together with a facing-page English translation and editorial commentary. Detailed notes are incorporated throughout and a bibliography is also included. This book will be of value to anyone with an interest in Zeno and ancient philosophy.

We analyse the extent of possible computations following Hogarth ([2004]) conducted in Malament–Hogarth (MH) spacetimes, and Etesi and Németi ([2002]) in the special subclass containing rotating Kerr black holes. Hogarth ([1994]) had shown that any arithmetic statement could be resolved in a suitable MH spacetime. Etesi and Németi ([2002]) had shown that some relations on natural numbers that are neither universal nor co-universal, can be decided in Kerr spacetimes, and had asked specifically as to the extent of computational limits there. (...) The purpose of this note is to address this question, and further show that MH spacetimes can compute far beyond the arithmetic: effectively Borel statements (so hyperarithmetic in second-order number theory, or the structure of analysis) can likewise be resolved: Theorem A. If H is any hyperarithmetic predicate on integers, then there is an MH spacetime in which any query ? n H ? can be computed. In one sense this is best possible, as there is an upper bound to computational ability in any spacetime, which is thus a universal constant of that spacetime. Theorem C. Assuming the (modest and standard) requirement that spacetime manifolds be paracompact and Hausdorff, for any spacetime there will be a countable ordinal upper bound, , on the complexity of questions in the Borel hierarchy computable in it. Introduction 1.1 History and preliminaries Hyperarithmetic Computations in MH Spacetimes 2.1 Generalising SADn regions 2.2 The complexity of questions decidable in Kerr spacetimes An Upper Bound on Computational Complexity for Each Spacetime CiteULike Connotea Del.icio.us What's this? (shrink)

Peter Baumann offers the tantalizing suggestion that Thomas Reid is almost, but not quite, a pragmatist. He motivates this claim by posing a dilemma for common sense philosophy: Will it be dogmatism or scepticism? Baumann claims that Reid points to but does not embrace a pragmatist third way between these unsavory options. If we understand `pragmatism' differently than Baumann does, however, we need not be so equivocal in attributing it to Reid. Reid makes what we could call an argument from (...) practical commitment, and this is plausibly an instance of what William James calls the pragmatic method. (shrink)

The accepted narrative treats John Stuart Mill's Kinds as the historical prototype for our natural kinds, but Mill actually employs two separate notions: Kinds and natural groups. Considering these, along with the accounts of Mill's 19th-century interlocutors, forces us to recognize two distinct questions. First, what marks a natural kind as worthy of inclusion in taxonomy? Second, what exists in the world that makes a category meet that criterion? Mill's two notions offer separate answers to the two questions: natural groups (...) for taxonomy, and Kinds for ontology. This distinction is ignored in many contemporary debates about natural kinds and is obscured by the standard narrative which treats our natural kinds just as a development of Mill's Kinds. (shrink)

A small large cardinal upper bound in V for proving when certain subsets of ω 1 (including the universally Baire subsets) are precisely those constructible from a real is given. In the core model we find an exact equivalence in terms of the length of the mouse order; we show that $\forall B \subseteq \omega_1 \lbrack B$ is universally Baire $\Leftrightarrow B \in L\lbrack r \rbrack$ for some real r] is preserved under set-sized forcing extensions if and only if there (...) are arbitrarily large "admissibly measurable" cardinals. (shrink)

Suppose a computer prints out the following little "poem": The shooting of the hunters she heardBut to pity it moved her not. What can we say about the meaning of this "poem"? We can say that it is ambiguous. It could mean: She heard the hunters shooting at animals, people, etc., but she had no pity for the victims. . . . She heard the hunters being shot but did not pity them. . . . She heard the hunters shooting (...) at someone or something and she heard the hunters being shot but did not pity either. An author could use the above word sequence to convey either , , or . But since we cannot treat the text produced by the computer as anyone's use of the words in question, it would not make sense to decide among its linguistically possible readings, just as it would not make sense to choose among the linguistically possible readings of an ambiguous sentence if it is considered in abstraction from its use by a speaker on a particular occasion. For example, it would not make sense to say of the sentence "He saw the man carrying the suitcase" that it just means "He saw the man who is carrying the suitcase" if we know that and in which what ways the sentence is ambiguous. If someone did say this, we would be inclined to think either that he does not know that the sentence is ambiguous or that he is talking not about the sentence but about an utterance of that sentence by a speaker on some occasion. Hence all we can do in interpreting the computer "poem" is to specify the set of its linguistically possible readings, namely, {, , }. But it would not make sense to select , for example, and say, "That is what the computer poem means, not , nor ." P. D. Juhl is an assistant professor of German at Princeton University. The present essay, in a different form, will appear in his forthcoming book, The Nature of Literary Interpretation. See also: "Against Theory" by Steven Knapp and Walter Benn Michaels in Vol. 8, No. 4. (shrink)

An ethical conflict arises when we must perform research in the interest of future patients, but that this may occasionally injure the interests of today''s patients. In the case of cognitively impaired persons, the question arises whether it is compatible with humane healthcare not only to treat, but also to use these patients for research purposes. Some bioethicists and theologians have formulated a general duty of solidarity, also pertaining to cognitively impaired persons, as a justification for research on these persons. (...) If one examines this thesis from the theory of justice according to John Rawls, it is revealed that such a duty of solidarity cannot necessarily be extrapolated from Rawls' conception of justice. This is at least true of Rawls' difference principle, because accordingto the difference principle only those measures are justifiable which serve the interest of the respective least well off. Those measures which would engender additional injury for the least well off could not be balanced by any utility according to Rawls. However, John Rawls' difference principle is subordinate to the first principle, which is that each person has an equal right to the most extensive basic liberty compatible with the same liberty for others. These primary goods are determined by the freedom and integrity of the person. This integrity of decisionally impaired persons would be in danger if one would abstain from research and thus forego the increase in knowledge related to their disease. Thus one could conclude, at least from Rawls' first principle, that society must take on a duty to guarantee the degrees of freedom for cognitively impaired persons and thus also support the efforts for their healing. (shrink)

Many enhancement technologies are distributed by healthcare professionals—by physicians—who are held to the Hippocratic Oath and the goals of medicine. While the ethics of enhancement has been widely discussed with regard to the social justice, humanism, morals and normative values of these interventions, their place in medicine has not attracted a great deal of attention. This paper investigates the potential for enhancement technologies to fulfil the goals of medicine, arguing that they play a role in promoting the health of individuals, (...) and thus, an unavoidable place in medicine. It also warns of potential dangers, suggesting a set of guidelines to initiate conversations regarding the role and responsibilities of physicians practising in an era of enhancement. (shrink)

The familiar Vendler-Kenny scheme of verb-types, viz., performances (further differentiated by Vedler into accomplishments and achievements), activities, and states, is too narrow in two important respects. First, it is narrow linguistically. It fails to take into account the phenomenon of verb aspect. The trichotomy is not one of verbs as lexical types but of predications. Second, the trichotomy is narrow ontologically. It is a specification in the context of human agency of the more fundamental, topic-neutral trichotomy, event-process-state.The central component in (...) this ontological trichotomy, event, can be sharply differentiated from its two flanking components by adapting a suggestion by Geoffrey N. Leech and others that the contrast between perfective and imperfective aspect in verbs corresponds to the count/mass distinction in the domain of nouns. With the help of two distinctions, of cardinal count adverbials versus frequency adverbials, and of occurrence versus associated occasion, two interrelated criteria for event predication are developed. Accordingly, Mary capsized the boat is an event predication because (a) it is equivalent to There was at least one capsizing of the boat by Mary, or (b) because it admits cardinal count adverbials, e.g., at least once, twice, three times. Ontologically speaking, events are defined as those occurrences that are inherently countable. (shrink)

A review of John Dupré's The Metaphysics of Biology.

The no-miracles argument and the pessimistic induction are arguably the main considerations for and against scientific realism. Recently these arguments have been accused of embodying a familiar, seductive fallacy. In each case, we are tricked by a base rate fallacy, one much-discussed in the psychological literature. In this paper we consider this accusation and use it as an explanation for why the two most prominent `wholesale' arguments in the literature seem irresolvable. Framed probabilistically, we can see very clearly why realists (...) and anti-realists have been talking past one another. We then formulate a dilemma for advocates of either argument, answer potential objections to our criticism, discuss what remains (if anything) of these two major arguments, and then speculate about a future philosophy of science freed from these two arguments. In so doing, we connect the point about base rates to the wholesale/retail distinction; we believe it hints at an answer of how to distinguish profitable from unprofitable realism debates. In short, we offer a probabilistic analysis of the feeling of ennui afflicting contemporary philosophy of science. (shrink)

Recent studies lead to the paradoxical conclusion that the act of affirming one's egalitarian or prosocial values and virtues might subsequently facilitate prejudiced or self-serving behavior, an effect previously referred to as ?moral credentialing.? The present study extends this paradox to the domain of academic misconduct and investigates the hypothesis that such an effect might be limited by the extent to which misbehavior is rationalizable. Using a paradigm designed to investigate deliberative and rationalized forms of cheating (von Hippel, Lakin, & (...) Shakarchi, 2005), we found that when participants had credentialed themselves (vs. a nonclose acquaintance) via a set of hypothetical moral dilemmas, they were more likely to cheat on a subsequent math task, but only if cheating was highly rationalizable. When cheating was difficult to rationalize, moral credentialing had almost no impact on cheating. (shrink)