This article is about a very important metaphysical concept, macrocosm/microcosm and its appearance in Doric thought which in turn influenced Socrates and Plato. But since this concept has been gainsaid and negated in recent articles and distorted by some ancient thinkers it will be necessary to conduct reconstructive surgery to restore it to its pristine condition. Hopefully, this paper will illustrate how metaphysics is done with the use of the Mind's eye, in the reading of reality that was part and (...) parcel of the Greek mind but also in understanding the ancient Greeks themselves and their culture especially in the creation of the classical republican form of government. This account will discuss what macrocosm/microcosm is, its part in the Cosmos and hence its centrality in the Natural Law and in philosophy (wisdom). Second, it will prove the concept thru another natural law principle, righteousness. Third, point out it's provenance in Doric thought. In a corollary, it points to what the impact macrocosm/microcosm has on the true meaning "to be a lover of wisdom" and its importance in the concept of theosis. More than a research/academic article, this paper is also an exposition in which it will attempt to demonstrate the use and the mechanics of this principle by using a saying of Homer and the tripartite paradigm of the family. (shrink)

: Mendelssohn’s Philosophische Gespräche, first published in 1755, represents his first philosophical work in German and rather surprisingly for a debut, in the first two dialogues of that work Mendelssohn attempts nothing less than a defense of the legacy of the most controversial philosopher of his day, Benedict de Spinoza. In this paper, I attempt to enlarge the context, and if possible to raise the stakes, of Mendelssohn’s discussion in order to bring out what I take to be a (...) much more ambitious project on Mendelssohn’s part, namely, not only the rehabilitation of a fellow Jewish thinker but also the rehabilitation of metaphysics as such by means of a thorough accounting of the Spinozan elements in the Wolffian philosophy. As I will show, framing the project of the Gespräche too narrowly is responsible for obscuring much of what I take to be most original and insightful in Mendelssohn’s use and interpretation of Wolff’s thought, as well as his ultimate purpose in resolving what he regarded as an ongoing crisis in metaphysics that is responsible to no small extent for its widespread neglect. (shrink)

part, whole, ideal quality, foundation, unity, space, topoontology, topophilosophy, formal ontology, topology, mathematical philosophy, topology, topology of the person, topology of mind, mathematics in philosophy, mereology, mereotopology, phenomenology, Benedict Bornstein, Edmund Husserl, Roman Ingarden, Kurt Lewin, René Thom.

My aim in this chapter is to survey some of the most important developments in thinking about essence in the early modern period, highlighting ways in which thinkers in the period gradually depart from the medieval Aristotelian tradition. In this tradition, essence is thought of as selective, explanatory, and kind-determining. Whereas in the beginning of the early modern period some figures (such as René Descartes, Thomas Hobbes, Margaret Cavendish, and Anne Conway) still adhere to this traditional view, later figures (including (...) Benedict de Spinoza, G.W. Leibniz, and John Locke) reject it. (shrink)

The early modern period was the natural historical habitat of the Principle of Sufficient Reason, i.e., the demand that everything must have a cause, or reason. It is in this period that the principle was explicitly articulated and named, and throughout the period we find numerous formulations and variants of the PSR and its closely related ‘ex nihilo nihil fit’ principle, which the early moderns inherited from medieval philosophy. Contemporary discussions of these principles were not restricted to philosophy. “Nothing will (...) come of nothing; speak again” old King Lear tells his daughter Cordelia at the beginning of Shakespeare’s celebrated tragedy, and in early modern science, conservation principles were the order of the day. Within philosophy, Malebranche stipulates that there cannot be an effect without a cause, and Berkeley motivates his idealism by an appeal to ‘ex nihilo nihil fit.’ Were we to try to provide an exhaustive survey the various formulations of the PSR in this period – including the weaker ones – we would be writing an encyclopedia. In fact, one wonders whether any early modern thinker was willing to accept a wholesale rejection of the PSR, i.e., a view which states that no fact requires an explanation. Moreover, the view that many – perhaps most – facts require an explanation seems to be tacitly assumed even by us today, in both our theoretical and colloquial discourse. For these reasons, this chapter will focus on two early modern philosophers who advocated very strong (i.e., virtually exceptionless) versions of the PSR: Benedict de Spinoza and G.W. Leibniz. Following a brief overview of Descartes’s restricted endorsement of the PSR, I will turn to discuss the central features of the PSR in the writings of Spinoza (§2) and those of Leibniz (§3). In the cases of each of these philosophers, we will examine carefully: (i) their main statements of the PSR, (ii) the scope they assign to the principle (i.e., what requires an explanation and what counts as an explanation), (iii) the modal strength they assign to the principle, (iv) the main implications they draw from the principle, (v) exceptions to the principle, and, finally, (vi) the justification of the principle. In §4, we will study a principle, complementing the PSR, namely, the assertion that everything and every fact must have an effect (or as Leibniz would put it: “nothing is sterile”). (shrink)

Richard Shusterman suggested that Maurice Merleau-Ponty neglected “‘lived somaesthetic reflection,’ that is, concrete but representational and reflective body consciousness.” While unsure about this assessment of Merleau-Ponty, lived somaesthetic reflection, or what the late Sam Mallin called “body phenomenology”—understood as a meditation on the body reflecting on both itself and the world—is my starting point. Another is John Dewey’s bodily theory of perception, augmented somewhat by Merleau-Ponty. -/- With these starting points, I spent roughly 20 hours with St. Benedict Restores (...) Life to a Young Monk (c. 1360), a work of tempera and gold leaf on panel, by Giovanni Del Biondo, active in Italy from 1356 to 1398, on display in the Art Gallery of Ontario’s permanent collection. Following Dewey’s suggestion that “[t]he eye ... is only the channel through which a total response takes place,” meaning that motor, emotional, intellectual and non-visual perceptual capacities become active when we encounter paintings, I describe how the work engaged a range of bodily modalities; and how reflecting on these, in turn, supplied phenomenal articulations of life negating, preserving and enhancing forces important in the culture that produced it, and famously discussed by Friedrich Nietzsche. By virtue of the approach adopted, I also demonstrate Dewey’s belief that intimate engagement with art entails a total coordination of one’s capacities around the artwork, while simultaneously reinforcing Merleau-Ponty’s ideas about perception and how we can find phenomenal articulations of concepts such as the Nietzschean ones just mentioned. While focusing on Del Biondo’s painting, my main purpose is to engage in body phenomenology practices, and to show, in the words of Shusterman, how “[w]e might sharpen our appreciation of art through more attention to our somaesthetic feelings involved in perceiving art” and indeed the world. (shrink)

The file on this site provides the slides for a lecture given in Hangzhou in May 2018, and the lecture itself is available at the URL beginning 'sms' in the set of links provided in connection with this item. -/- It is commonly assumed that regular physics underpins biology. Here it is proposed, in a synthesis of ideas by various authors, that in reality structures and mechanisms of a biological character underpin the world studied by physicists, in principle supplying detail (...) in the domain that according to regular physics is of an indeterminate character. In regular physics mathematical equations are primary, but this constraint leads to problems with reconciling theory and reality. Biology on the other hand typically does not characterise nature in quantitative terms, instead investigating in detail important complex interrelationships between parts, leading to an understanding of the systems concerned that is in some respects beyond that which prevails in regular physics. It makes contact with quantum physics in various ways, for example in that both involve interactions between observer and observed, an insight that explains what is special about processes involving observation, justifying in the quantum physics context the replacement of the unphysical many-worlds picture by one involving collapse. The link with biology furthermore clarifies Wheeler’s suggestion that a multiplicity of observations can lead to the ‘fabrication of form’, including the insight that this process depends on very specific ‘structures with power’ related to the 'semiotic scaffolding' of the application of sign theory to biology known as biosemiotics. -/- The observer-observed 'circle' of Wheeler and Yardley is a special case of a more general phenomenon, oppositional dynamics, related to the 'intra-action' of Barad's Agential Realism, involving cooperating systems such as mind and matter, abstract and concrete, observer and observed, that preserve their identities while interacting with one another in such a way as to act as a unit. A third system may also be involved, the mediating system of Peirce linking the two together. Such a situation of changing connections and separations may plausibly lead in the future to an understanding of how complex systems are able to evolve to produce 'life, the universe and everything'. -/- (Added 1 July 2018) The general structure proposed here as an alternative to a mathematics-based physics can be usefully characterised by relating it to different disciplines and the specialised concepts utilised therein. In theoretical physics, the test for the correctness of a theory typically involves numerical predictions, corresponding to which theories are expressed in terms of equations, that is to say assertions that two quantities have identical values. Equations have a lesser significance in biology which typically talks in terms of functional mechanisms, dependent for example on details of chemistry and concepts such as genes, natural selection, signals and geometrical or topologically motivated concepts such as the interconnections between systems and the unfolding of DNA. Biosemiotics adds to this the concept of signs and their interpretation, implying novel concepts such as semiotic scaffolding and the semiosphere, code duality, and appreciation of the different types of signs, including symbols and their capacity for abstraction and use in language systems. Circular Theory adds to this picture, as do the ideas of Barad, considerations such as the idea of oppositional dynamics. The proposals in this lecture can be regarded as the idea that concepts such as those deriving from biosemiotics have more general applicability than just conventional biology and may apply, in some circumstances, to nonlinear systems generally, including the domain new to science hypothesised to underlie the phenomena of present-day physics. -/- The task then has to be to restore the mathematical aspect presumed, in this picture, not to be fundamental as it is in conventional theory. Deacon has invoked a complex sequence of evolutionary steps to account for the emergence over time of human language systems, and correspondingly mathematical behaviour can be subsumed under the general evolutionary mechanisms of biosemiotics (cf. also the proposals of Davis and Hersh regarding the nature of mathematics), so that the mathematical behaviour of physical systems is consistent with the proposed scheme. In conclusion, it is suggested that theoretical physicists should cease expecting to find some universal mathematical ‘theory of everything’, and focus instead on understanding in more detail complex systems exhibiting behaviour of a biological character, extending existing understanding. This may in time provide a more fruitful understanding of the natural world than does the regular approach. The essential concepts have an observational basis from both biology and the little-known discipline of cymatics (a discipline concerned with the remarkable patterns that specific waveforms can give rise to), while again computer simulations also offer promise in providing insight into the complex behaviours involved in the above proposals. -/- References -/- Jesper Hoffmeyer, Semiotic Scaffolding of Living Systems. Commens, a Digital Companion to C. S. Peirce (on Commens web site). Terrence Deacon, The Symbolic Species, W.W. Norton & Co. Karen Barad, Meeting the Universe Halfway: Quantum Physics and the Entanglement of Matter and Meaning, Duke University Press. Philip Davis and Reuben Hersh, The Mathematical Experience, Penguin. Ilexa Yardley, Circular Theory. (shrink)

This report reviews what quantum physics and information theory have to tell us about the age-old question, How come existence? No escape is evident from four conclusions: (1) The world cannot be a giant machine, ruled by any preestablished continuum physical law. (2) There is no such thing at the microscopic level as space or time or spacetime continuum. (3) The familiar probability function or functional, and wave equation or functional wave equation, of standard quantum theory provide mere continuum idealizations (...) and by reason of this circumstance conceal the information-theoretic source from which they derive. (4) No element in the description of physics shows itself as closer to primordial than the elementary quantum phenomenon, that is, the elementary device-intermediated act of posing a yes-no physical question and eliciting an answer or, in brief, the elementary act of observer-participancy. Otherwise stated, every physical quantity, every it, derives its ultimate significance from bits, binary yes-or-no indications, a conclusion which we epitomize in the phrase, it from bit. (shrink)

The field of of imprecise probability has matured, in no small part because of Teddy Seidenfeld’s decades of original scholarship and essential contributions to building and sustaining the ISIPTA community. Although the basic idea behind imprecise probability is (at least) 150 years old, a mature mathematical theory has only taken full form in the last 30 years. Interest in imprecise probability during this period has also grown, but many of the ideas that the mature theory serves can be difficult to (...) apprehend to those new to the subject. Although these fundamental ideas are common knowledge in the ISIPTA community, they are expressed, when they are expressed at all, obliquely, over the course of years with students and colleagues. -/- A single essay cannot convey the store of common knowledge from any research community, let alone the ISIPTA community. But, this essay nevertheless is an attempt to guide those familiar with the basic Bayesian framework to appreciate some of the elegant and powerful ideas that underpin the contemporary theory of lower previsions, which is the theory that most people associate with the term ‘imprecise probabilities’. (shrink)

This paper initiates the reverse mathematics of social choice theory, studying Arrow's impossibility theorem and related results including Fishburn's possibility theorem and the Kirman–Sondermann theorem within the framework of reverse mathematics. We formalise fundamental notions of social choice theory in second-order arithmetic, yielding a definition of countable society which is tractable in RCA0. We then show that the Kirman–Sondermann analysis of social welfare functions can be carried out in RCA0. This approach yields a proof of Arrow's theorem in RCA0, and (...) thus in PRA, since Arrow's theorem can be formalised as a Π01 sentence. Finally we show that Fishburn's possibility theorem for countable societies is equivalent to ACA0 over RCA0. (shrink)

The theory of lower previsions is designed around the principles of coherence and sure-loss avoidance, thus steers clear of all the updating anomalies highlighted in Gong and Meng's "Judicious Judgment Meets Unsettling Updating: Dilation, Sure Loss, and Simpson's Paradox" except dilation. In fact, the traditional problem with the theory of imprecise probability is that coherent inference is too complicated rather than unsettling. Progress has been made simplifying coherent inference by demoting sets of probabilities from fundamental building blocks to secondary representations (...) that are derived or discarded as needed. (shrink)

Coherentism maintains that coherent beliefs are more likely to be true than incoherent beliefs, and that coherent evidence provides more confirmation of a hypothesis when the evidence is made coherent by the explanation provided by that hypothesis. Although probabilistic models of credence ought to be well-suited to justifying such claims, negative results from Bayesian epistemology have suggested otherwise. In this essay we argue that the connection between coherence and confirmation should be understood as a relation mediated by the causal relationships (...) among the evidence and a hypothesis, and we offer a framework for doing so by fitting together probabilistic models of coherence, confirmation, and causation. We show that the causal structure among the evidence and hypothesis is sometimes enough to determine whether the coherence of the evidence boosts confirmation of the hypothesis, makes no difference to it, or even reduces it. We also show that, ceteris paribus, it is not the coherence of the evidence that boosts confirmation, but rather the ratio of the coherence of the evidence to the coherence of the evidence conditional on a hypothesis. (shrink)

The desirable gambles framework offers the most comprehensive foundations for the theory of lower pre- visions, which in turn affords the most general ac- count of imprecise probabilities. Nevertheless, for all its generality, the theory of lower previsions rests on the notion of linear utility. This commitment to linearity is clearest in the coherence axioms for sets of desirable gambles. This paper considers two routes to relaxing this commitment. The first preserves the additive structure of the desirable gambles framework and (...) the machinery for coherent inference but detaches the interpretation of desirability from the multiplicative scale invariance axiom. The second strays from the additive combination axiom to accommodate repeated gambles that return rewards by a non-stationary processes that is not necessarily additive. Unlike the first approach, which is a conservative amendment to the desirable gambles framework, the second is a rad- ical departure. Yet, common to both is a method for describing rewards called discounted utility. (shrink)

Short overview of the From Small Beginnings Project and its relevance for resisting eugenics in contemporary society.

It is often said that the best system account of laws needs supplementing with a theory of perfectly natural properties. The ‘strength’ and ‘simplicity’ of a system is language-relative and without a fixed vocabulary it is impossible to compare rival systems. Recently a number of philosophers have attempted to reformulate the BSA in an effort to avoid commitment to natural properties. I assess these proposals and argue that they are problematic as they stand. Nonetheless, I agree with their aim, and (...) show that if simplicity is interpreted as ‘compression’, algorithmic information theory provides a framework for system comparison without the need for natural properties. (shrink)

The purpose of this paper is to show that if one adopts conditional probabilities as the primitive concept of probability, one must deal with the fact that even in very ordinary circumstances at least some probability values may be imprecise, and that some probability questions may fail to have numerically precise answers.

It has been argued that the fundamental laws of physics do not face a ‘problem of provisos’ equivalent to that found in other scientific disciplines (Earman, Roberts and Smith 2002) and there is only the appearance of exceptions to physical laws if they are confused with differential equations of evolution type (Smith 2002). In this paper I argue that even if this is true, fundamental laws in physics still pose a major challenge to standard Humean approaches to lawhood, as they (...) are not in any obvious sense about regularities in behaviour. A Humean approach to physical laws with exceptions is possible, however, if we adopt a view of laws that takes them to be the algorithms in the algorithmic compressions of empirical data. When this is supplemented with a distinction between lossy and lossless compression, we can explain exceptions in terms of compression artefacts present in the application of the lossy laws. (shrink)

It is a striking fact from reverse mathematics that almost all theorems of countable and countably representable mathematics are equivalent to just five subsystems of second order arithmetic. The standard view is that the significance of these equivalences lies in the set existence principles that are necessary and sufficient to prove those theorems. In this article I analyse the role of set existence principles in reverse mathematics, and argue that they are best understood as closure conditions on the powerset of (...) the natural numbers. (shrink)

Information-based epistemology maintains that ‘being informed’ is an independent cognitive state that cannot be reduced to knowledge or to belief, and the modal logic KTB has been proposed as a model. But what distinguishes the KTB analysis of ‘being informed’, the Brouwersche schema (B), is precisely its downfall, for no logic of information should include (B) and, more generally, no epistemic logic should include (B), either.

This essay argues that reparations for wrongs by one's ancestors can be justified. Differential benefits to those descended from victims of one's ancestors is discrimination which can be justified by one's right to be partial to one's ancestors, doing what they, with clearer thinking, would have done--namely compensating their victims. So, while there is no obligation to discriminate, one has a right to, in virtue of one's partiality towards one's ancestors.

Alfred Tarski was one of the greatest logicians of the twentieth century. His influence comes not merely through his own work but from the legion of students who pursued his projects, both in Poland and Berkeley. This chapter focuses on three key areas of Tarski's research, beginning with his groundbreaking studies of the concept of truth. Tarski's work led to the creation of the area of mathematical logic known as model theory and prefigured semantic approaches in the philosophy of language (...) and philosophical logic, such as Kripke's possible worlds semantics for modal logic. We also examine the paradoxical decomposition of the sphere known as the Banach–Tarski paradox. Finally we examine Tarski's work on decidable and undecidable theories, which he carried out in collaboration with students such as Mostowski, Presburger, Robinson and others. (shrink)

This paper argues that the Theaetetus establishes conditions on objects of knowledge which entail that only of Forms can there be knowledge. Plato's arguments for this are valid. The principles needed to make Plato's premises true will turn out to have deep connection with important parts of Plato's over-all theory, and to have consequences which Plato, in the middle dialogues, seems to welcome on other grounds as well.

Reverse mathematics studies which subsystems of second order arithmetic are equivalent to key theorems of ordinary, non-set-theoretic mathematics. The main philosophical application of reverse mathematics proposed thus far is foundational analysis, which explores the limits of different foundations for mathematics in a formally precise manner. This paper gives a detailed account of the motivations and methodology of foundational analysis, which have heretofore been largely left implicit in the practice. It then shows how this account can be fruitfully applied in the (...) evaluation of major foundational approaches by a careful examination of two case studies: a partial realization of Hilbert’s program due to Simpson [1988], and predicativism in the extended form due to Feferman and Schütte. -/- Shore [2010, 2013] proposes that equivalences in reverse mathematics be proved in the same way as inequivalences, namely by considering only omega-models of the systems in question. Shore refers to this approach as computational reverse mathematics. This paper shows that despite some attractive features, computational reverse mathematics is inappropriate for foundational analysis, for two major reasons. Firstly, the computable entailment relation employed in computational reverse mathematics does not preserve justification for the foundational programs above. Secondly, computable entailment is a Pi-1-1 complete relation, and hence employing it commits one to theoretical resources which outstrip those available within any foundational approach that is proof-theoretically weaker than Pi-1-1-CA0. (shrink)

Jim Joyce argues for two amendments to probabilism. The first is the doctrine that credences are rational, or not, in virtue of their accuracy or “closeness to the truth” (1998). The second is a shift from a numerically precise model of belief to an imprecise model represented by a set of probability functions (2010). We argue that both amendments cannot be satisfied simultaneously. To do so, we employ a (slightly-generalized) impossibility theorem of Seidenfeld, Schervish, and Kadane (2012), who show that (...) there is no strictly proper scoring rule for imprecise probabilities. -/- The question then is what should give way. Joyce, who is well aware of this no-go result, thinks that a quantifiability constraint on epistemic accuracy should be relaxed to accommodate imprecision. We argue instead that another Joycean assumption — called strict immodesty— should be rejected, and we prove a representation theorem that characterizes all “mildly” immodest measures of inaccuracy. (shrink)

This paper is about the work of a long forgotten philosopher and his views which have surprising relevance to discussions in present-day philosophy of mind and cognitive science. I argue that, far from being a traditional idealist, Mitchell advanced a very subtle position best seen as marking a transition from idealist views and later materialist accounts, the latter popularly attributed to Australian philosophers in the second half of the 20th century.

Recent debate about the error theory has taken a ‘formal turn’. On the one hand, there are those who argue that the error theory should be rejected because of its difficulties in providing a convincing formal account of the logic and semantics of moral claims. On the other hand, there are those who claim that such formal objections fail, maintaining that arguments against the error theory must be of a substantive rather than a formal kind. In this paper, we argue (...) that formal objections to the error theory cannot be eschewed but must be met head-on. (shrink)

Dilation occurs when an interval probability estimate of some event E is properly included in the interval probability estimate of E conditional on every event F of some partition, which means that one’s initial estimate of E becomes less precise no matter how an experiment turns out. Critics maintain that dilation is a pathological feature of imprecise probability models, while others have thought the problem is with Bayesian updating. However, two points are often overlooked: (1) knowing that E is stochastically (...) independent of F (for all F in a partition of the underlying state space) is sufficient to avoid dilation, but (2) stochastic independence is not the only independence concept at play within imprecise probability models. In this paper we give a simple characterization of dilation formulated in terms of deviation from stochastic independence, propose a measure of dilation, and distinguish between proper and improper dilation. Through this we revisit the most sensational examples of dilation, which play up independence between dilator and dilatee, and find the sensationalism undermined by either fallacious reasoning with imprecise probabilities or improperly constructed imprecise probability models. (shrink)

Epistemic decision theory (EDT) employs the mathematical tools of rational choice theory to justify epistemic norms, including probabilism, conditionalization, and the Principal Principle, among others. Practitioners of EDT endorse two theses: (1) epistemic value is distinct from subjective preference, and (2) belief and epistemic value can be numerically quantified. We argue the first thesis, which we call epistemic puritanism, undermines the second.

How do we justify the normative standards to which we appeal in support of our moral progress judgments, given their historical and cultural contingency? To answer this question in a noncircular way, Elizabeth Anderson and Philip Kitcher appeal exclusively to formal features of the methodology by which a moral change was brought about; some moral methodologies are systematically less prone to bias than others and are therefore less vulnerable to error. However, we argue that the methodologies espoused by Anderson and (...) Kitcher implicitly appeal to the substantive principle of “moral universalism.” This sets up the positive project of the paper: an attempt to vindicate moral universalism with a pragmatic genealogy. Using resources from cultural evolutionary theory and the history of ideas we argue that the universalistic norms widely committed to in many societies today have the function of maintaining cooperation in large anonymous groups. Furthermore, while universalistic norms play this instrumental role, their functional benefits are best secured when people following such norms do so for intrinsic rather than instrumental reasons. Finally, having elaborated our pragmatic genealogy, we close by considering how this genealogy should affect our commitment to moral universalism and how it can complement the methods of Anderson and Kitcher. (shrink)

Ausgangspunkt ist die Frage, was Masse ist, wodurch sie insbesondere befähigt ist, Dauer zu konstituieren und deshalb - im Sinn des kinematischen Relativitätsprinzips - ebenso als bewegt wie als ruhend betrachtet werden kann. In einem Gedankenexperiment wird diese Frage, in Umkehrung der Perspektive, hier nicht von der Masse selbst, sondern von einer stehenden Lichtwelle her angegangen. In diesem Modell lassen sich masse-analoge Strukturen rekonstruieren, die in relativer Bewegung sein können. Die (empirisch bekannte) Unabhängigkeit der Lichtgeschwindigkeit vom Bezugssystem ist dabei nicht (...) vorausgesetzt. Doch kann gezeigt werden, dass die Lichtgeschwindigkeit Grenzgeschwindigkeit solcher relativer Bewegungen ist, dass dies für alle durch masse-analoge Strukturen konstituierte, relativ zueinander gleichförmig bewegten Bezugssysteme gilt und dass die Lichtgeschwindigkeit selbst in allen diesen Systemen gleich ist. Die Absolutheit der Lichtgeschwindigkeit und die Relativität der Massebewegungen erweisen sich so als zwar differente, aber intrinsisch zusammengehörende Momente des kinematischen Relativitätsprinzips: ein Beitrag zu einer Philosophie der Relativitätstheorie. - Die mathematischen Zusammenhänge werden im Anhang ausführlicher dargelegt. (shrink)

A characterization result of dilation in terms of positive and negative association admits an extremal counterexample, which we present together with a minor repair of the result. Dilation may be asymmetric whereas covariation itself is symmetric. Dilation is still characterized in terms of positive and negative covariation, however, once the event to be dilated has been specified.

This paper explores how participation and sustainability are being addressed by architects within the Building Schools for the Future (BSF) programme in the UK. The intentions promoted by the programme are certainly ambitious, but the ways to fulfil these aims are ill-explored. Simply focu- sing on providing innovative learning technologies, or indeed teaching young people about phy- sical sustainability features in buildings, will not necessarily teach them the skills they will need to respond to the environmental and social challenges of (...) a rapidly changing world. However, anticipating those skills is one of the most problematic issues of the programme. The involve- ment of young people in the design of schools is used to suggest empowerment, place-making and to promote social cohesion but this is set against government design literature which advo- cates for exemplars, standard layouts and best practice, all leading to forms of standardisation. The potentials for tokenistic student involvement and conflict with policy aims are evident. This paper explores two issues: how to foster in young people an ethic towards future generations, and the role of co-design practices in this process. Michael Oakeshott calls teaching the conver- sation of mankind. In this paper, I look at the philosophy of Hannah Arendt, Emmanuel Levinas, Maurice Merleau-Ponty and Luce Irigaray to argue that investigating the ethical dilemmas of the programme through critical dialogue with students offers an approach to meeting government objectives, building sustainable schools, and fostering sustainable citizenship. (shrink)

Analyzing geometric properties of high-dimensional loss functions, such as local curvature and the existence of other optima around a certain point in loss space, can help provide a better understanding of the interplay between neural network structure, implementation attributes, and learning performance. In this work, we combine concepts from high-dimensional probability and differential geometry to study how curvature properties in lower-dimensional loss representations depend on those in the original loss space. We show that saddle points in the original space are (...) rarely correctly identified as such in expected lower-dimensional representations if random projections are used. The principal curvature in the expected lower-dimensional representation is proportional to the mean curvature in the original loss space. Hence, the mean curvature in the original loss space determines if saddle points appear, on average, as either minima, maxima, or almost flat regions. We use the connection between expected curvature in random projections and mean curvature in the original space (i.e., the normalized Hessian trace) to compute Hutchinson-type trace estimates without calculating Hessian-vector products as in the original Hutchinson method. Because random projections are not suitable to correctly identify saddle information, we propose to study projections along dominant Hessian directions that are associated with the largest and smallest principal curvatures. We connect our findings to the ongoing debate on loss landscape flatness and generalizability. Finally, for different common image classifiers and a function approximator, we show and compare random and Hessian projections of loss landscapes with up to about 7×10^6 parameters. (shrink)

Martine Nida-Rümelin (1996) argues that color science indicates behaviorally undetectable spectrum inversion is possible and raises this possibility as an objection to functionalist accounts of visual states of color. I show that her argument does not rest solely on color science, but also on a philosophically controversial assumption, namely, that visual states of color supervene on physiological states. However, this assumption, on the part of philosophers or vision scientists, has the effect of simply ruling out certain versions of functionalism. While (...) Nida-Rümelin is quite right to search for empirical tests for claims about the nature of visual states, philosophical issues remain pivotal in determining the correctness of these claims. (shrink)

Review of John Stillwell, Reverse Mathematics: Proofs from the Inside Out. Princeton, NJ: Princeton University Press, 2018, pp. 200. ISBN 978-0-69-117717-5 (hbk), 978-0-69-119641-1 (pbk), 978-1-40-088903-7 (e-book).

It is often assumed that trolling is an intentional action. The aim of the paper is to argue for a form of unintentional trolling. Firstly, we outline minimal conditions for intentional actions. Secondly, an unintentional trolling example is introduced. Thirdly, we will show that in some cases, an utterance can be expressive, while it is perceived as descriptive. On the basis of the justification-suppression model, we argue that the introduced trolling example is such a case. In order to bypass social (...) sanctions for expressing prejudices, agents unintentionally express their prejudices through stories that appear to be descriptive. Thereby, the characterized behavior does not fulfill the minimal conditions for intentional action. Fourthly, we give criteria that can be used to identify unintentional trolls. Finally, after unintentional trolling is analyzed, the trolls’ behavioral goals are considered. In conclusion, an analysis of unintentional trolling is given, which has explanatory benefits in contrast to the classic intentional trolling concepts. (shrink)

The general introduction, which is replicated across all four volumes, aims to orientate readers unfamiliar with this area of research. It provides an overview of the different approaches within distributed cognition and discussion of the value of a distributed cognitive approach to the humanities.

The representational theory of phenomenal experience is often stated in terms of a supervenience thesis: Byrne recently characterises it as the thesis that “there can be no difference in phenomenal character without a difference in content”, while according to Tye, “[a]t a minimum, the thesis is one of supervenience: necessarily, experiences that are alike in their representational contents are alike in their phenomenal character.” Consequently, much of the debate over whether representationalism is true centres on purported counter-examples – that is (...) to say, purported failures of supervenience. The refutation of putative counter-examples has been, it seems to me, by and large successful. But there is a certain class of these for which the representationalist response has been something less than completely convincing. These are the cross-modality cases. I will explain what I mean, and then argue that the response in question is not only unconvincing but actually undermines the representationalist position. (shrink)

It is commonly assumed that the expression “an sich selbst” (“in itself”) in Kant combines with terms to form complex nouns such as “thing in itself” and “end in itself.” I argue that the basic use of “an sich selbst” in Kant’s German is as a sentence adverb, which has the role of modifying subject-predicate combinations, rather than either subject or predicate on their own. Expressions of the form “S is P an sich selbst” mean roughly that S is P (...) ‘in its own right’ or without some further ‘condition’. Accordingly, “an sich selbst” should not be treated as forming complex nouns. This analysis has significant consequences for the interpretation of “thing in itself” in particular, for it implies that the latter is not a complete nominal expression. Instead, one must treat ‘an sich selbst’ as expressing how some S is a ‘thing’, looking to the wider sentential context. I conclude with a brief account of the new significance granted to the concept of a ‘thing’ (Ding) according to the present interpretation. (shrink)

As automating technologies are increasingly integrated into workplaces, one concern is that many of the human workers who remain will be relegated to more dull and less positively impactful work. This paper considers two rival theories of meaningful work that might be used to evaluate particular implementations of automation. The first is achievementism, which says that work that culminates in achievements to workers’ credit is especially meaningful; the other is the practice view, which says that work that takes the form (...) of an open-ended practice is especially meaningful. Of the two, the practice view is the better tool for assessing the future of meaningful work, because achievementism is explanatorily inadequate in two ways. Moreover, the practice view can explain why the most meaningful forms of work cannot be automated. A procedure can only be automated as long as the steps are defined, whereas, in such work, which steps to take is indefinitely open to redefinition. This reveals the real threat to meaningful work to be a political-economic one. The relevant ethical questions there have to do with how much creative control workers retain in crafting their own jobs, when those jobs involve meaningful work in collaboration with machines; and how to liberate workers from jobs that do not involve meaningful work, which should be left to machines anyway. (shrink)

The present volume is an introduction to the use of tools from computability theory and reverse mathematics to study combinatorial principles, in particular Ramsey's theorem and special cases such as Ramsey's theorem for pairs. It would serve as an excellent textbook for graduate students who have completed a course on computability theory.

Nudging works through dispositions to decide with specific heuristics, and has three component parts. A nudge is a feature of an environment that enables such a disposition; a person is nudged when such a disposition is triggered; and a person performs a nudged action when such a disposition manifests in action. This analysis clarifies an autonomy-based worry about nudging as used in public policy or for private profit: that a person’s ability to reason well is undermined when she is nudged. (...) Reasoning well is a component of self-guidance, which is an aspect of autonomy and so something there is reason to promote, preserve, or respect. However, a person can reason well when she is nudged: Many of these heuristics are good rules to reason with, and she can be flexible with respect to them when she takes there to be a better way to reason. Along the way, this paper uncovers several design specifications for responsible nudging, and discusses open empirical questions. However, nudging’s being compatible with reasoning well crystallizes a distinct worry about manipulation: that nudge designers can rely on nudged people guiding themselves toward the designers’ own ends. Manipulation of this sort exploits one aspect of autonomy (namely, self-guidance) to undermine autonomy in other respects. (shrink)

Martine Nida-Rümelin (1996) argues that color science indicates behaviorally undetectable spectrum inversion is possible and raises this possibility as an objection to functionalist accounts of visual states of color. I show that her argument does not rest solely on color science, but also on a philosophically controversial assumption, namely, that visual states of color supervene on physiological states. However, this assumption, on the part of philosophers or vision scientists, has the effect of simply ruling out certain versions of functionalism. While (...) Nida-Rümelin is quite right to search for empirical tests for claims about the nature of visual states, philosophical issues remain pivotal in determining the correctness of these claims. (shrink)

In this paper, I contest increasingly common "realist" interpretations of Hegel's theory of "the concept" (der Begriff), offering instead a "isomorphic" conception of the relation of concepts and the world. The isomorphism recommended, however, is metaphysically deflationary, for I show how Hegel's conception of conceptual form creates a conceptually internal standard for the adequacy of concepts. No "sideways-on" theory of the concept-world relationship is envisioned. This standard of conceptual adequacy is also "graduated" in that it allows for a lack of (...) fit between concept and world. The possibility for a "maximally isomorphic" fit between concept and world obtains through the teleological realization of concepts, which marks especially the "artificial" world of human culture (law, art, religion, etc.). Some of the most seemingly exaggerated claims Hegel makes about the concept, I contend, can be understood when we consider the significance Hegel ascribes to human making, which is provided for in his conceptual theory. But my framework provides an interpretive key for the way Hegel sees concepts imperfectly realized in the natural world as well. (shrink)

ABSTRACTThe close connection often cited between Hegel and Wilfrid Sellars is not only said to lie in their common negative challenges to the ‘framework of givenness,’ but also in the positive less...

Mental health among students is one of the major concerns amidst the pandemic. Employing a correlational design, this study investigates the relationship between emotional intelligence and mental health among 152 senior high school students. Based on the statistical analysis, the r coefficient of 0.82 indicates a high positive correlation between the variables. The p-value of 0.00, which is less than 0.05, leads to the decision to reject the null hypothesis. Hence, a significant relationship exists between emotional intelligence and mental health (...) among senior high school. Implications were discussed in the study. (shrink)

European Journal of Philosophy, Volume 29, Issue 4, Page 1026-1038, December 2021.