I interpret Kant's distinction between free and dependent beauty in a way that makes it possible for an object to be judged dependently beautiful without being judged freely beautiful. This is an alternative to the analyses provided by Malcolm Budd and Christopher Janaway, which both face a dilemma because they entail that an object must be judged freely beautiful in order to be judged dependently beautiful. The dilemma is that either the determinant of a judgement of dependent beauty is based (...) upon non-aesthetic criteria (if the object is not freely beautiful), or else the judgement is superfluous for an account of aesthetic value. My analysis of the distinction allows both kinds of beauty to play a meaningful role in a theory of aesthetic value. (shrink)

Philip Pettit offers a new insight into moral psychology. He shows that attachments such as love, and certain virtues such as honesty, require their characteristic behaviours not only as things actually are, but also in cases where things are different from how they actually are. He explores the implications of this idea for key moral issues.

In his monograph On Numbers and Games, J. H. Conway introduced a real-closed field containing the reals and the ordinals as well as a great many less familiar numbers including $-\omega, \,\omega/2, \,1/\omega, \sqrt{\omega}$ and $\omega-\pi$ to name only a few. Indeed, this particular real-closed field, which Conway calls No, is so remarkably inclusive that, subject to the proviso that numbers—construed here as members of ordered fields—be individually definable in terms of sets of NBG, it may be said to contain (...) “All Numbers Great and Small.” In this respect, No bears much the same relation to ordered fields that the system ℝ of real numbers bears to Archimedean ordered fields. In Part I of the present paper, we suggest that whereas $\mathbb{R}$should merely be regarded as constituting an arithmetic continuum, No may be regarded as a sort of absolute arithmetic continuum, and in Part II we draw attention to the unifying framework No provides not only for the reals and the ordinals but also for an array of non-Archimedean ordered number systems that have arisen in connection with the theories of non-Archimedean ordered algebraic and geometric systems, the theory of the rate of growth of real functions and nonstandard analysis. In addition to its inclusive structure as an ordered field, the system No of surreal numbers has a rich algebraico-tree-theoretic structure—a simplicity hierarchical structure—that emerges from the recursive clauses in terms of which it is defined. In the development of No outlined in the present paper, in which the surreals emerge vis-à-vis a generalization of the von Neumann ordinal construction, the simplicity hierarchical features of No are brought to the fore and play central roles in the aforementioned unification of systems of numbers great and small and in some of the more revealing characterizations of No as an absolute continuum. (shrink)

Many philosophers maintain that the ability to do otherwise is compatible with comprehensive divine foreknowledge but incompatible with the truth of causal determinism. But the Fixity of the Past principle underlying the rejection of compatibilism about the ability to do otherwise and determinism appears to generate an argument also for the incompatibility of the ability to do otherwise and divine foreknowledge. By developing an account of ability that appeals to the notion of explanatory dependence, we can replace the Fixity of (...) the Past with a principle that does not generate this difficulty. I develop such an account and defend it from objections. I also explore some of the account's implications, including whether the account is consistent with presentism. (shrink)

We examine the notions of negative, infinite and hotter than infinite temperatures and show how these unusual concepts gain legitimacy in quantum statistical mechanics. We ask if the existence of an infinite temperature implies the existence of an actual infinity and argue that it does not. Since one can sensibly talk about hotter than infinite temperatures, we ask if one could legitimately speak of other physical quantities, such as length and duration, in analogous terms. That is, could there be longer (...) than infinite lengths or temporal durations? We argue that the answer is surprisingly yes, and we outline the properties of a number system that could be employed to characterize such magnitudes. (shrink)

In social identity theory, the in-Christ identity is understood as primarily a socially directed process in which people categorise themselves relative to other groups. Intergroup behaviour would cause them to discriminate against the so-called ‘outgroup’, favouring the so-called ‘ingroup’. Although social identity complexity theory has moved beyond single ingroup-outgroup categorisation, it is a question if social identity theories can fully account for the in-Christ identity, especially within an African context. In African religious identity, identity is linked to both the community (...) and the ruling deities, which are perceived to be real entities that intervene in human affairs and identity, presupposing a supernaturalistic epistemology. Contribution: In this contribution, the naturalistic epistemological underpinnings of social identity theories are reconsidered in light of a supernatural aspect that is argued to be constitutive of the 1st century in-Christ identity as well as the African Christian identity. Amid current approaches to the in-Christ identity, which is mainly a Pauline concept, some of the main Pauline texts that have bearing on the in-Christ identity are revisited in light of current theories and epistemologies on identity. (shrink)

Philip Pettit has drawn together here a series of interconnected essays on three subjects to which he has made notable contributions. The first part of the book discusses the rule-following character of thought. The second considers how choice can be responsive to different sorts of factors, while still being under the control of thought and the reasons that thought marshals. The third examines the implications of this view of choice and rationality for the normative regulation of social behaviour. Rules, (...) Reasons, and Norms makes original and illuminating connections across a large swathe of territory, from metaphysics to philosophical psychology to the theory of rational regulation. (shrink)

Since Euclid defined a point as “that which has no part” it has been widely assumed that points are necessarily unextended. It has also been assumed that this is equivalent to saying that points or, more properly speaking, degenerate segments, have length zero. We challenge these assumptions by providing models of Euclidean geometry where the points are extended despite the fact that the degenerate segments have null lengths, and observe that whereas the extended natures of the points are not recognizable (...) in the given models, they can be recognized and characterized by structures that are suitable expansions of the models. (shrink)

This paper has two goals: (1) to defend a particular response to the problem of resultant moral luck and (2) to defend the claim that we are only responsible for what we could have avoided. Cases of overdetermination threaten to undermine the claim that we are only responsible for what we could have avoided. To deal with this issue, I will motivate a particular way of responding to the problem of resultant moral luck. I defend the view that one's degree (...) of responsibility is immune to moral luck but the scope of events for which one is responsible is subject to moral luck. I will then argue that this view allows us to explain away certain intuitions about responsibility and overdetermination (as well as similar intuitions regarding Frankfurt Cases). As a result, the claim that we are only responsible for what we could have avoided becomes significantly more plausible. (shrink)

A theory of the first-person plural occupies a unique place in philosophical investigations into intersubjectivity and social cognition. In order for the referent of the first-person plural—“the We”—to come into existence, it seems there must be a shared ground of communicative possibility, but this requires a non-circular explanation of how this ground could be shared in the absence of a pre-existing context of communicative conventions. Margaret Gilbert’s and John Searle’s theories of collective intentionality capture important aspects of the We, but (...) fail to fully account for this shared ground of communicative possibility. This paper argues that Merleau-Ponty’s concept of intercorporeity helps reconcile the positive aspects of these accounts while also explaining how the genesis of the social world is continuous with perceptual life in general. This enables an account of the first-person plural as dependent on reciprocal communicative interaction without the need to posit a primitive or primordial “we-mode” of consciousness. “Intercorporeity” designates a bodily openness to others that is not fundamentally different in kind from the general style of bodily comportment found in Merleau-Ponty’s rich analyses of perceptual life. (shrink)

The property theory of musical works says that each musical work is a property that is instantiated by its occurrences, that is, the work's performances and playings. The property theory provides ontological explanations very similar to those given by its popular cousin, the type/token theory of musical works, but it is both simpler and stronger. However, type/token theorists often dismiss the property theory. In this essay, I formulate a version of the property theory that identifies each type (thus, each musical (...) work) with a unique property. I then scrutinize the arguments offered for thinking that types, including musical works, are distinct from properties. I respond that no such argument is forceful and conclude that the property theory of musical works is superior to the type/token theory. (shrink)

In late March of 2020, a new hashtag, #FilmYourHospital, made its first appearance on social media. The hashtag encouraged people to visit local hospitals to take pictures and videos of empty hospitals to help “prove” that the COVID-19 pandemic is an elaborate hoax. Using techniques from Social Network Analysis, this case study examines how this conspiracy theory propagated on Twitter and whether the hashtag virality was aided by the use of automation or coordination among Twitter users. We found that while (...) much of the content came from users with limited reach, the oxygen that fueled this conspiracy in its early days came from a handful of prominent conservative politicians and far right political activists on Twitter. These power users used this hashtag to build awareness about the campaign and to encourage their followers to break quarantine and film what is happening at their local hospitals. After the initial boost by a few prominent accounts, the campaign was mostly sustained by pro-Trump accounts, followed by a secondary wave of propagation outside the U.S. The rise of the #FilmYourHospital conspiracy from a single tweet demonstrates the ongoing challenge of addressing false, viral information during the COVID-19 pandemic. While the spread of misinformation can be potentially mitigated by fact-checking and directing people to credible sources of information from public health agencies, false and misleading claims that are driven by politics and supported by strong convictions and not science are much harder to root out. (shrink)

In the topological semantics for modal logic, S4 is well-known to be complete for the rational line, for the real line, and for Cantor space: these are special cases of S4’s completeness for any dense-in-itself metric space. The construction used to prove completeness can be slightly amended to show that S4 is not only complete, but also strongly complete, for the rational line. But no similarly easy amendment is available for the real line or for Cantor space and the question (...) of strong completeness for these spaces has remained open, together with the more general question of strong completeness for any dense-in-itself metric space. In this paper, we prove that S4 is strongly complete for any dense-in-itself metric space. (shrink)

[Philip Percival] I aim to illuminate foundational epistemological issues by reflecting on 'epistemic consequentialism'-the epistemic analogue of ethical consequentialism. Epistemic consequentialism employs a concept of cognitive value playing a role in epistemic norms governing belief-like states that is analogous to the role goodness plays in act-governing moral norms. A distinction between 'direct' and 'indirect' versions of epistemic consequentialism is held to be as important as the familiar ethical distinction on which it is based. These versions are illustrated, respectively, by (...) cognitive decision-theory and reliabilism. Cognitive decision-theory is defended, and various conceptual issues concerning it explored. A simple dilemma suggests that epistemic consequentialism has radical consequences. /// [Robert Stalnaker] After reviewing the general ideas of the consequentialist framework, I take a critical look at two of the epistemic consequentialist projects that Philip Percival considers in his paper: the first assumes that there is a notion of acceptance that contrasts with belief and that can be evaluated by its expected epistemic utility. The second uses epis utility to evaluate beliefs and partial beliefs themselves, as well as actions, such as gathering information in the course of an inquiry. I express scepticism about the notion of acceptance required for the first project, and argue that the second kind of project can be fruitful only with a richer notion of epistemic utility than has yet been developed. (shrink)

This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles.

In response to the liar’s paradox, Kripke developed the fixed-point semantics for languages expressing their own truth concepts. Kripke’s work suggests a number of related fixed-point theories of truth for such languages. Gupta and Belnap develop their revision theory of truth in contrast to the fixed-point theories. The current paper considers three natural ways to compare the various resulting theories of truth, and establishes the resulting relationships among these theories. The point is to get a sense of the lay of (...) the land amid a variety of options. Our results will also provide technical fodder for the methodological remarks of the companion paper to this one. (shrink)

In recent years, interest has increased in regenerative practices as a strategy for transforming food systems and solving major environmental problems such as biodiversity loss and climate change. However, debates persist regarding these practices and how they ought to be defined. This paper presents a framework for exploring the regenerative potential of food systems, focusing on how food systems activities and technologies are organized rather than the specific technologies or practices being employed. The paper begins with a brief review of (...) debates over sustainable food systems and the varying ways that regenerative food systems have been defined and theorized. Then, it provides the theoretical backing of the framework—the conservation of change principle—which is an interpretation of the laws of thermodynamics and theories of adaptive change as relevant to the regenerative capacity of living systems. Next, the paper introduces the framework itself, which comprises two independent but intersecting dimensions of food systems organization: resource diversity and livelihood flexibility. These two dimensions result in four archetypical regimes for food systems: degenerative, regenerative, impoverished, and coerced. The paper defines each and offers real-world examples. Finally, the paper concludes with a discussion of pathways for transforming food systems and opportunities for additional research. (shrink)

This paper explores the relationship between phenomenal properties and intentional properties. In recent years a number of philosophers have argued that intentional properties are sometimes necessitated by phenomenal properties, but have not explained why or how. Exceptions can be found in the work of Katalin Farkas and Farid Masrour, who develop versions of reductionism regarding phenomenally-necessitated intentionality (or "phenomenal intentionality"). I raise two objections to reductive theories of the sort they develop. Then I propose a version of primitivism regarding phenomenal (...) intentionality. I argue that primitivism avoids the pitfalls of reductionism while promising broad explanatory payoffs. (shrink)

In 2001, the algebraico-tree-theoretic simplicity hierarchical structure of J. H. Conway’s ordered field ${\mathbf {No}}$ of surreal numbers was brought to the fore by the first author and employed to provide necessary and sufficient conditions for an ordered field to be isomorphic to an initial subfield of ${\mathbf {No}}$, i.e. a subfield of ${\mathbf {No}}$ that is an initial subtree of ${\mathbf {No}}$. In this sequel, analogous results are established for ordered exponential fields, making use of a slight generalization of (...) Schmeling’s conception of a transseries field. It is further shown that a wide range of ordered exponential fields are isomorphic to initial exponential subfields of $$. These include all models of $T$, where ${\mathbb R}_W$ is the reals expanded by a convergent Weierstrass system W. Of these, those we call trigonometric-exponential fields are given particular attention. It is shown that the exponential functions on the initial trigonometric-exponential subfields of ${\mathbf {No}}$, which includes ${\mathbf {No}}$ itself, extend to canonical exponential functions on their surcomplex counterparts. The image of the canonical map of the ordered exponential field ${\mathbb T}^{LE}$ of logarithmic-exponential transseries into ${\mathbf {No}}$ is shown to be initial, as are the ordered exponential fields ${\mathbb R})^{EL}$ and ${\mathbb R}\langle \langle \omega \rangle \rangle $. (shrink)

Philip Pettit; X*—Social Holism and Moral Theory: A Defence of Bradley's Thesis, Proceedings of the Aristotelian Society, Volume 86, Issue 1, 1 June 1986, Pages.

A and B continue their conversation concerning the Identity of Indiscernibles. Both are aware of recent critiques of the principle that haven’t received replies; B summarizes those critiques, and A offers the replies that are due. B then raises a new worry.

This book is a volume in the Penn Press Anniversary Collection. To mark its 125th anniversary in 2015, the University of Pennsylvania Press rereleased more than 1,100 titles from Penn Press's distinguished backlist from 1899-1999 that had fallen out of print. Spanning an entire century, the Anniversary Collection offers peer-reviewed scholarship in a wide range of subject areas.

We begin to fill a lacuna in the relevance logic enterprise by providing a foundational analysis of identity in relevance logic. We consider rival interpretations of identity in this context, settling on the relevant indiscernibility interpretation, an interpretation related to Dunn's relevant predication project. We propose a general test for the stability of an axiomatisation of identity, relative to this interpretation, and we put various axiomatisations to this test. We fill our discussion out with both formal and philosophical remarks on (...) identity in relevance logic. (shrink)

In a recent article, Caterina Moruzzi (2018) develops and defends her musical stage theory. This discussion response supposes that Moruzzi's development and def.

The s, p, d and f blocks of the elements, as delimited by Charles Janet in 1928, can be represented as parallel slices of a regular tetrahedron. They also fit neatly on to the surface of a sphere. The reasons for this are discussed and the possible objections examined. An attempt is made to see whether there are philosophical implications of this unexpected geometrical regularity. A new tetrahedral design in transparent plastic is presented.

Philip Percival; X*—Absolute Truth, Proceedings of the Aristotelian Society, Volume 94, Issue 1, 1 June 1994, Pages 189–214, https://doi.org/10.1093/aristotelia.

The development of effective means to enhance research integrity by universities requires baseline measures of individual, programmatic, and institutional factors known to contribute to ethical decision making and behavior. In the present study, master’s thesis and Ph.D. students in the fields of biological, health and social sciences at a research extensive university completed a field appropriate measure of research ethical decision making and rated the seriousness of the research issue and importance for implementing the selection response. In addition they were (...) asked to rate their perceptions of the institutional and departmental research climate and to complete a measure of utilitarian and formalistic predisposition. Female students were found to be more ethical in their decision making compared to male students. The research ethical decision measure was found to be related to participants’ ethical predisposition and overall perception of organizational and departmental research climate; however, formalism was the only individual predictor to reach statistical significance and none of the individual subscales of the research climate measure were significantly correlated to ethicality. Participants’ ratings of the seriousness of the issue were correlated with their ratings of the importance of carrying out their selected response but neither was significantly predictive of the ethicality of their responses. The implications of these findings for the development of more effective training programs and environments for graduate students in research ethics and integrity are discussed. (shrink)

We review some recent developments in the conformal gravity theory that has been advanced as a candidate alternative to standard Einstein gravity. As a quantum theory the conformal theory is both renormalizable and unitary, with unitarity being obtained because the theory is a PT symmetric rather than a Hermitian theory. We show that in the theory there can be no a priori classical curvature, with all curvature having to result from quantization. In the conformal theory gravity requires no independent quantization (...) of its own, with it being quantized solely by virtue of its being coupled to a quantized matter source. Moreover, because it is this very coupling that fixes the strength of the gravitational field commutators, the gravity sector zero-point energy density and pressure fluctuations are then able to identically cancel the zero-point fluctuations associated with the matter sector. In addition, we show that when the conformal symmetry is spontaneously broken, the zero-point structure automatically readjusts so as to identically cancel the cosmological constant term that dynamical mass generation induces. We show that the macroscopic classical theory that results from the quantum conformal theory incorporates global physics effects that provide for a detailed accounting of a comprehensive set of 138 galactic rotation curves with no adjustable parameters other than the galactic mass to light ratios, and with the need for no dark matter whatsoever. With these global effects eliminating the need for dark matter, we see that invoking dark matter in galaxies could potentially be nothing more than an attempt to describe global physics effects in purely local galactic terms. Finally, we review some recent work by ’t Hooft in which a connection between conformal gravity and Einstein gravity has been found. (shrink)

If someone abstains from meat-eating for reasons of taste or personal economics, no moral or philosophical question arises. But when a vegetarian attempts to persuade others that they, too, should adopt his diet, then what he says requires philosophical attention. While a vegetarian might argue in any number of ways, this essay will be concerned only with the argument for a vegetarian diet resting on a moral objection to the rearing and killing of animals for the human table. The vegetarian, (...) in this laense, does not merely require us to change or justify our eating habits, but to reconsider our attitudes and behaviour towards members of other species across a wide range of practices. (shrink)

A correction is needed to our paper: to the definition contained within the statement of Lemma 1.5 and thus arguments around it in §3.

Fossil organisms offer our only direct insight into how the distinctive body plans of extant organisms were assembled. However, realizing the potential evolutionary significance of fossils can be hampered by controversy over their interpretation. Here, as a guide to evaluating palaeontological debates, we outline the process and pitfalls of fossil interpretation. The physical remains of controversial fossils should be reconstructed before interpreting homologies, and choice of interpretative model should be explicit and justified. Extinct taxa lack characters diagnostic of extant clades (...) because the characters had not yet evolved, because of secondary loss, or because they have rotted away. The latter, if not taken into account, will lead to the spurious assignment of fossils to basally branching clades. Conflicting interpretations of fossils can often be resolved by considering all the steps in the process of anatomical analysis and phylogenetic placement, although we must accept that some fossil organisms are simply too incompletely preserved for their evolutionary significance to be realized. (shrink)

We critically investigate and refine Dunn's relevant predication, his formalisation of the notion of a real property. We argue that Dunn's original dialectical moves presuppose some interpretation of relevant identity, though none is given. We then re-motivate the proposal in a broader context, considering the prospects for a classical formalisation of real properties, particularly of Geach's implicit distinction between real and ''Cambridge'' properties. After arguing against these prospects, we turn to relevance logic, re-motivating relevant predication with Geach's distinction in mind. (...) Finally we draw out some consequences of Dunn's proposal for the theory of identity in relevance logic. (shrink)

I here discuss an argument frequently dismissed as a fallacy – the slippery slope or camel's nose. The argument has three forms – analogical, argumentative, and prudential. None of these provides a deductive guarantee, but all can provide considerations capable of influencing the intellect. Our evaluation of such arguments reflects our background social and evaluative assumptions.

The aim of this article is to take relational ethics concepts and apply them to the context of application to research ethics committees for approval to carry out research. The process of a multinational qualitative research application is described. The article suggests that a relational ethics approach can address two issues: how qualitative proposals are interpreted by research ethics committees and how this safeguards potentially vulnerable respondents. In relational terms, the governance of a research project may be enhanced by shared (...) ownership and willingness to engage in mutual dialogue. This challenges both researchers and research ethics committees to reframe their understanding of roles and functions in the assessment of research protocols, particularly those of a qualitative nature and those that address end-of-life issues. (shrink)