We summarize the essential ingredients, which enabled us to derive the path-integral for a system of harmonically interacting spin-polarized identical particles in a parabolic confining potential, including both the statistics (Bose–Einstein or Fermi–Dirac) and the harmonic interaction between the particles. This quadratic model, giving rise to repetitive Gaussian integrals, allows to derive an analytical expression for the generating function of the partition function. The calculation of this generating function circumvents the constraints on the summation over the cycles of the permutation (...) group. Moreover, it allows one to calculate the canonical partition function recursively for the system with harmonic two-body interactions. Also, static one-point and two-point correlation functions can be obtained using the same technique, which make the model a powerful trial system for further variational treatments of realistic interactions. (shrink)

What are words? What makes two token words tokens of the same word-type? Are words abstract entities, or are they (merely) collections of tokens? The ontology of words tries to provide answers to these, and related questions. This article provides an overview of some of the most prominent views proposed in the literature, with a particular focus on the debate between type-realist, nominalist, and eliminativist ontologies of words.

It has been a common assumption that words are substances that instantiate or have properties. In this paper, I question the assumption that our ontology of words requires posting substances by outlining a bundle theory of words, wherein words are bundles of various sorts of properties (such as semantic, phonetic, orthographic, and grammatical properties). I argue that this view can better account for certain phenomena than substance theories, is ontologically more parsimonious, and coheres with claims in linguistics.

The role of probability is one of the most contested issues in the interpretation of contemporary physics. In this paper, I’ll be reevaluating some widely held assumptions about where and how probabilities arise. Larry Sklar voices the conventional wisdom about probability in classical physics in a piece in the Stanford Online Encyclopedia of Philosophy, when he writes that “Statistical mechanics was the first foundational physical theory in which probabilistic concepts and probabilistic explanation played a fundamental role.” And the conventional wisdom (...) about quantum probabilities is that they are basic, not reducible to the types of probabilities we see in statistical mechanics. In the first section of this paper, I’ll argue that in fact classical physics was steeped in probability long before statistical mechanics came on the scene, specifically, that an objective measure over phase space is an indispensable component of any informative physical theory. In the next section, I’ll argue that this objective measure is the fundamental form of physical probability and that quantum probabilities can be defined in terms of it. In the last, I’ll raise some questions about the metaphysical status of the fundamental measure. (shrink)

ABSTRACT The idea that two words can be instances of the same word is a central intuition in our conception of language. This fact underlies many of the claims that we make about how we communicate, and how we understand each other. Given this, irrespective of what we think words are, it is common to think that any putative ontology of words, must be able to explain this feature of language. That is, we need to provide criteria of identity for (...) word-types which allow us to individuate words such that it can be the case that two particular word-instances are instances of the same word-type. One solution, recently further developed by Irmak, holds that words are individuated by their history. In this paper, I argue that this view either fails to account for our intuitions about word identity, or is too vague to be a plausible answer to the problem of word individuation. (shrink)

In this paper we examine C. I. Lewis's view on the roleof coherence – what he calls ''congruence'' – in thejustification of beliefs based on memory ortestimony. Lewis has two main theses on the subject. His negativethesis states that coherence of independent items ofevidence has no impact on the probability of a conclusionunless each item has some credibility of its own. Thepositive thesis says, roughly speaking, that coherenceof independently obtained items of evidence – such asconverging memories or testimonies – raises (...) the probabilityof a conclusion to the extent sufficient for epistemicjustification, or, to use Lewis's expression, ''rationaland practical reliance''.It turns out that, while thenegative thesis is essentially correct, astrong positive connection between congruence andprobability – a connection of the kind Lewis ultimatelyneeds in his validation of memory – is contingent on thePrinciple of Indifference. In the final section we assess therepercussions of the latter fact for Lewis's theory in particularand for coherence justification in general. (shrink)

The natural name theory, recently discussed by Johnson (2018), is proposed as an explanation of pure quotation where the quoted term(s) refers to a linguistic object such as in the sentence ‘In the above, ‘bank’ is ambiguous’. After outlining the theory, I raise a problem for the natural name theory. I argue that positing a resemblance relation between the name and the linguistic object it names does not allow us to rule out cases where the natural name fails to resemble (...) the linguistic object it names. I argue that to avoid this problem, we can combine the natural name theory with a type-realist metaphysics of language, and hold that the name is natural because the name is an instance of the kind that it names. I conclude by reflecting on the importance of the metaphysics of language for questions in the philosophy of language. (shrink)

Ethicists have tended to treat the psychology of attributing mental states to animals as an entirely separate issue from the moral importance of animals’ mental states. In this paper I bring these two issues together. I argue for two theses, one descriptive and one normative. The descriptive thesis holds that ordinary human agents use what are generally called phenomenal mental states to assign moral considerability to animals. I examine recent empirical research on the attribution of phenomenal states and agential states (...) to argue that phenomenal mental states are the primary factor, psychologically, for judging an animal to be morally considerable. I further argue that, given the role of phenomenal states in assigning moral considerability, certain theories in animal ethics will meet significant psychological resistance. The normative thesis holds that ethicists must take the psychology of attributing mental states into account when constructing moral ideals concerning animals. I draw from the literature in political philosophy on ideal and non-ideal theory to argue that non-ideal theories for animals must account for human psychology because—like current social and political conditions—human psychology limits the achievement of moral ideals. (shrink)

Minimally, metaphysical realists hold that there exist some mind-independent entities. Metaphysical realists also hold that we can speak meaningfully or truthfully about mind-independent entities. Those who reject metaphysical realism deny one or more of these commitments. This Element aims to introduce the reader to the core commitments of metaphysical realism and to illustrate how these commitments have changed over time by surveying some of the main families of views that realism has been contrasted with: such as scepticism, idealism, and anti-realism.

It has been widely argued that words are analogous to species such that words, like species, are natural kinds. In this paper, I consider the metaphysics of word-kinds. After arguing against an essentialist approach, I argue that word-kinds are homeostatic property clusters, in line with the dominant approach to other biological and psychological kinds.

Underlying many of our uneasy debates about the social and moral responsibilities of professionals is a form of scepticism about the role of reason in morals. This claim is illustrated by examples drawn from both the pure-knowledge and applied-knowledge professionals. Hume's sceptical views about the role of reason in our knowledge of matters of fact and in morals are critically examined. An alternative theory of reasonableness that combines elements of foundationalism and coherentism, cognitivism and emotivism, and that emphasizes a process (...) of congruence achieved through reflection, dialectic and dialogue is sketched and illustrated. It is claimed that this notion of reasonableness is the one actually involved in science, law and morals. (shrink)

An ancient doctor who advocated the therapeutic benefits of wine and passive exercise was bound to be successful. However, Asclepiades of Bithynia did far more than reform much of traditional Hippocratic therapeutic practice; he devised an extraordinary physical theory which he used to explain all biological phenomena in uniformly simple terms. His work laid the theoretical basis for the anti-theoretical medical sect called Methodism. For his trouble he was despised by his intellectual progeny and, more importantly perhaps, by Galen. None (...) of his work survives intact, but copious ancient testimonia relating to him allow us to reconstruct many details of the theory. His ideas offer us a fascinating glimpse of how Hellenistic philosophy and medicine interacted, and provide an introduction to one of the most intriguing doctrinal disputes in Greek science. (shrink)

Globalization; intellectual life; Morocco; philosophy.

To explain the meaning of the Prometheus the late Dr. Walter Headlam quoted the famous lines from theAgamemnon:‘ Sing praise; ’Tis he hath guided, say, Man's feet in Wisdom's way, Stablishing fast for learning's rule That Suffering be her school….’ ‘This,’ he said, ‘is the school in which Prometheus himself is being gradually taught the wise humility; at present he is still in the rebellious stage. And it is with this idea that Io is introduced into the Prometheus Bound; she, (...) too, is an example of the seeming cruelty of Zeus; but it is a blessing in disguise, for she is to be the mother of the blessed Epaphus, and it is a son of Zeus by Alcmena, a descendant of her own, that is to set Prometheus free.’. (shrink)

The statistical properties of a single quantum object and an ensemble of independent such objects are considered in detail for two-level systems. Computer simulations of dynamic zero-point quantum fluctuations for a single quantum object are reported and compared with analytic solutions for the ensemble case.

Originally published in 1957, this book collects together large sections of important tracts from a variety of political documents, particularly those concerned with democracy, communism, Protestantism or Catholicism. The extracts come from a wide range of authors including Bertrand Russell, Karl Marx, John Locke and Pope Pius XII. This book will be of value to anyone seeking an overview of the key political divisions in the late 20th century or who is interested in political theory generally.

The self seems to be a unitary entity remaining stable across time. Nevertheless, current theorizing conceptualizes the self as a number of interacting sub-systems involving perception, intention and action (self-model). One important function of such a self-model is to distinguish between events occurring as a result of one's own actions and events occurring as the result of somebody else's actions. We conducted an fMRI experiment that compared brain activation after an abrupt mismatch between one's own movement and its visual consequences (...) with an abrupt mismatch between one's own movement and somebody else's visually perceived hand movement. A right fronto-parietal network was selectively active during a sudden mismatch between one's own observed and performed hand action. (shrink)