We show that the actuality operator A is redundant in any propositional modal logic characterized by a class of Kripke models (respectively, neighborhood models). Specifically, we prove that for every formula ${\phi}$ in the propositional modal language with A, there is a formula ${\psi}$ not containing A such that ${\phi}$ and ${\psi}$ are materially equivalent at the actual world in every Kripke model (respectively, neighborhood model). Inspection of the proofs leads to corresponding proof-theoretic results concerning the eliminability of the actuality (...) operator in the actuality extension of any normal propositional modal logic and of any “classical” modal logic. As an application, we provide an alternative proof of a result of Williamson’s to the effect that the compound operator A□ behaves, in any normal logic between T and S5, like the simple necessity operator □ in S5. (shrink)

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

Gentzen’s and Jaśkowski’s formulations of natural deduction are logically equivalent in the normal sense of those words. However, Gentzen’s formulation more straightforwardly lends itself both to a normalization theorem and to a theory of “meaning” for connectives . The present paper investigates cases where Jaskowski’s formulation seems better suited. These cases range from the phenomenology and epistemology of proof construction to the ways to incorporate novel logical connectives into the language. We close with a demonstration of this latter aspect by (...) considering a Sheffer function for intuitionistic logic. (shrink)

The logic of paradox, LP, is a first-order, three-valued logic that has been advocated by Graham Priest as an appropriate way to represent the possibility of acceptable contradictory statements. Second-order LP is that logic augmented with quantification over predicates. As with classical second-order logic, there are different ways to give the semantic interpretation of sentences of the logic. The different ways give rise to different logical advantages and disadvantages, and we canvass several of these, concluding that it will be extremely (...) difficult to appeal to second-order LP for the purposes that its proponents advocate, until some deep, intricate, and hitherto unarticulated metaphysical advances are made. (shrink)

Logics that have many truth values—more than just True and False—have been argued to be useful in the analysis of very many philosophical and linguistic puzzles. In this paper, which is a followup to, we will start with a particularly well-motivated four-valued logic that has been studied mainly in its propositional and first-order versions. And we will then investigate its second-order version. This four-valued logic has two natural three-valued extensions: what is called a “gap logic”, and what is called a (...) “glut logic”. We mention various results about the second-order version of these logics as well. And we then follow our earlier papers, where we had added a specific conditional connective to the three valued logics, and now add that connective to the four-valued logic under consideration. We then show that, although this addition is “conservative” in the sense that no new theorems are generated in the four-valued logic unless they employ this new conditional in their statement, nevertheless the resulting second-order versions of these logics with and without the conditional are quite different in important ways. We close with a moral for logical investigations in this realm. (shrink)

Il platonista sostiene che le verità della matematica e della logica siano letteralmente vere, ossia che descrivano (in qualche modo: non voglio legare la definizione a una particolare teoria semantica) realtà che non sono create o decise da noi. Il convenzionalista sostiene invece che le proposizioni che chiamiamo verità della matematica siano in qualche misura convenzionali: esse esprimerebbero convenzioni che abbiamo adottato noi, o certe loro conseguenze. Le due posizioni sono apparenteme...

There are good reasons to want logics, including many-valued logics, to have usable conditionals, and we have explored this in certain logics. However, it turns out that we “accidentally” chose some favourable logics. In this paper, we look at some of the unfavourable logics and describe where usable conditionals can be added and where it is not possible.

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

An edition of the letters of Erasmus, regarded as one of the greatest humanist writers. All 12 volumes of this work have been reissued, complete with their scholarly apparatus of commentary and notes, as well as plates.

A questionnaire on the attitudes towards the functions of research ethical committees was sent to members of selected research ethical committees in Wessex and some controls. Almost all respondents felt there was a need for ethical review of research projects; 42 per cent thought there was a need for some training before joining a committee; 67 per cent thought the system could be improved and 47 per cent thought that monitoring or follow-up procedures should be adopted. Ethical committees were thought (...) to be purely advisory, as opposed to mandatory, by 33 per cent, and 63 per cent thought they should restrict their review to ethical problems as opposed to scientific or design problems. Views about the function of non-medical members ranged from 'none at all' to 'very important'. Of the 10 controls who were asked whether they would become a member of an ethical committee if asked, seven said that on balance they would and the reasons stated varied from the view that it was a 'very important committee' to the feeling that it was 'a necessary but irksome job'. (shrink)

In order to model any macroscopic system, it is necessary to aggregate both spatially and taxonomically. If average processes are assumed, then kinetic equations of “population dynamics” can be derived. Much effort has gone into showing the important effects introduced by non-average effects (fluctuations) in generating symmetry-breaking transitions and creating structure and form. However, the effects of microscopic diversity have been largely neglected. We show that evolution will select for populations which retain “variability,” even though this is, at any given (...) time, loss-making, predicting that we shall not observe populations with “optimal behavior,” but populations which can “learn.” This lesser short-term efficiency may be why natural diversity is so great. Evolution is seen to be “driven” by the noise to which it leads. (shrink)

In this interview, C. P. Goodman invites British Polanyi scholar Richard T. Allen to reflect on his interest in Polanyi’s philosophical ideas and share what he believes is valuable in his thought.

The manifest appearance of function and purpose in living systems is responsible for the prevalence of apparently teleological explanations of organismic structure and behavior in biology. Although the attribution of function and purpose to living systems is an ancient practice, teleological notions are largely considered ineliminable from modern biological sciences, such as evolutionary biology, genetics, medicine, ethology, and psychiatry, because they play an important explanatory role. Historical and recent examples of teleological claims include the following: The chief function of the (...) heart is the transmission and pumping of the blood through the arteries to the extremities of the body. (Harvey 1616 [1928: 49]) The Predator Detection hypothesis remains the strongest candidate for the function of stotting [by gazelles]. (Caro 1986: 663) The geographic range of human malaria is much wider than the range of the sickle-cell gene. As it happens, other antimalarial genes take over the protective function of the sickle-cell gene in … other warm parts. (Diamond 1994: 83) Despite the substantial amount of data we now have on theropod dinosaurs, more information is necessary in order to determine the likelihood that early feathers served an adaptive function in visual display as opposed to other proposed adaptive functions such as thermoregulation. (Dimond et al. 2011: 62) The ubiquity of claims such as these raises the question: how should apparently teleological notions in biology be understood? Most post-Darwinian approaches attempt to naturalize teleology in biology, in opposition to nineteenth-century viewpoints which grounded it theologically. Nevertheless, biologists and philosophers have continued to question the legitimacy of teleological notions in biology. For instance, Ernst Mayr (1988), identified four reasons why teleological notions remain controversial in biology, namely that they are: vitalistic (positing some special ‘life-force’); requiring backwards causation (because goal-directed explanations seem to use future outcomes to explain present traits); incompatible with mechanistic explanation (because of 1 and 2); mentalistic (attributing the action of mind where there is none). A fifth complaint is that they are not empirically testable (Allen & Bekoff 1995). The current philosophical literature offers both Darwinian and non-Darwinian accounts of teleology in biology that aim to avoid these concerns. In this article, we hope to bring some clarity to the contemporary debates over the role of teleological notions in biology by sketching a taxonomy of the various accounts of biological function on offer (see Allen & Bekoff 1995 for a more comprehensive taxonomy that forms the basis of this presentation). We primarily focus on naturalistic accounts of biological function, since this is where we see the most lively and productive current debates (see, e.g., Garson 2016 for an extended survey). We also briefly discuss the notion of goal-directedness in section 2. (shrink)

While more species are being identified as cultural on a regular basis, stark differences between human and animal cultures remain. Humans are more richly cultural, with group-specific practices and social norms guiding almost every element of our lives. Furthermore, human culture is seen as cumulative, cooperative, and normative, in contrast to animal cultures. One hypothesis to explain these differences is grounded in the observation that human children across cultures appear to spontaneously over-imitate silly or causally irrelevant behaviors that they observe. (...) The few studies on over-imitation in other species are largely taken as evidence that spontaneous over-imitation is not present in other species. This leads to the over-imitation hypothesis – that the differences between human culture and animal cultures can be traced to the human unique tendency to over-imitate. In this paper, we analyze the current state of the literature on animal over-imitation and challenge the adequacy of the over-imitation hypothesis for the differences between humans and animal cultures. To make this argument, we first argue that the function of human over-imitation is norm-learning and that over-imitation, like skill-learning, should be subject to selective social learning effects. Then we review the empirical evidence against animal over-imitation and argue that these studies do not take into account the relevant variables given the normative and selective nature of over-imitation. We then analyze positive empirical evidence of over-imitation in great apes and canids from the experimental literature and conclude that the current body of evidence suggests that some canids and primates may have the capacity for over-imitation. This paper offers a methodological suggestion for how to study animal over-imitation, and a theoretical suggestion that over-imitation might be much more widely found among species. The larger implication for claims about human uniqueness suggests that if we do find widespread evidence of over-imitation across species, many of the current theories of human uniqueness that focus on human hyper-cooperation or social norms may have only identified a difference of degree, not of kind, between humans and other animals. (shrink)

Thousands of texts discuss Egytpain cosmology and cosmogony. James Allen has selected sixteen to translate and discuss in order to shed light on one of the questions that clearly preoccupied ancient intellectuals; the origins of the world.

A difference of opinion exists among some philosophers who have recently inquired whether Marx thinks that capitalism is distributively unjust. What has to be determined is whether in Marx's view the wage worker suffers an injustice in not receiving most or all of the surplus value he creates. Allen Wood argues that this is not Marx's view, and George Brenkert agrees, for quite similar reasons; but Ziyad Husami and Gary Young, on the other hand, argue in reply to Wood, (...) and on overlapping grounds, for the opposite interpretation; Wood, in turn, has defended himself against Husami. (shrink)

Seven important essays on the study of ancient Egyptian religion. Contents: The cosmology of the pyramid texts (James P Allen); Textual criticism in the coffin texts (David P Silverman); State and religion in the New Kingdom (Jan Assmann); The natural philosophy of Akhenaten (James P Allen); Horus or the crocodiles: a juncture of religion and magic in late Dynastic Egypt (Robert K Ritner); Psychology and society in the ancient Egyptian cult of the dead (Alan B Lloyd); Death and (...) initiation in the funerary reliion of ancient Egypt. (shrink)

As one of the most important ethicists to emerge since the Second World War, Alan Gewirth continues to influence philosophical debates concerning morality. In this ground-breaking book, Gewirth's neo-Kantianism, and the communitarian problems discussed, form a dialogue on the foundation of moral theory. Themes of agent-centered constraints, the formal structure of theories, and the relationship between freedom and duty are examined along with such new perspectives as feminism, the Stoics, and Sartre. Gewirth offers a picture of the philosopher's theory and (...) its applications, providing a richer, more complete critical assessement than any which has occurred to date. (shrink)

As John Henry Newman reflected on 'The Idea of a University' more than a century and a half ago, Bradley C. S. Watson brings together some of the nation's most eminent thinkers on higher education to reflect on the nature and purposes of the American university today. Their mordant reflections paint a picture of the American university in crisis. This book is essential reading for thoughtful citizens, scholars, and educational policymakers.