In his book on P max [7], Woodin presents a collection of partial orders whose extensions satisfy strong club guessing principles on ω | . In this paper we employ one of the techniques from this book to produce P max variations which separate various club guessing principles. The principle (+) and its variants are weak guessing principles which were first considered by the second author [4] while studying games of length ω | . It was shown in [1] that (...) the Continuum Hypothesis does not imply (+) and that (+) does not imply the existence of a club guessing sequence on ω | . In this paper we give an alternate proof of the second of these results, using Woodin's P max technology, showing that a strengthening of (+) does not imply a weakening of club guessing known as the Interval Hitting Principle. The main technique in this paper, in addition to the standard P m a x machinery, is the use of condensation principles to build suitable iterations. (shrink)

We present a variation of the forcing S max as presented in Woodin [4]. Our forcing is a P max -style construction where each model condition selects one Souslin tree. In the extension there is a Souslin tree T G which is the direct limit of the selected Souslin trees in the models of the generic. In some sense, the generic extension is a maximal model of "there exists a minimal Souslin tree," with T G being this minimal tree. In (...) particular, in the extension this Souslin tree has the property that forcing with it gives a model of Souslin's Hypothesis. (shrink)

Given a stationary subset T of $\omega_{1}$ , let $\tilde{T}$ be the set of ordinals in the interval $(\omega_{1}, \omega_{2})$ which are necessarily in the image of T by any embedding derived from the nonstationary ideal. We consider the question of the size of $\tilde{T}$ , givenT, and use Martin's Maximum and $\mathbb{P}_{max}$ to give some answers.

We show, using a variation of Woodin’s partial order ℙ max , that it is possible to destroy the saturation of the nonstationary ideal on ω 1 by forcing with a Suslin tree. On the other hand, Suslin trees typcially preserve saturation in extensions by ℙ max variations where one does not try to arrange it otherwise. In the last section, we show that it is possible to have a nonmeager set of reals of size ℵ1, saturation of the nonstationary (...) ideal, and no weakly Lusin sequences, answering a question of Shelah and Zapletal. (shrink)

Newly updated study surveys concept of space from standpoint of historical development. Space in antiquity, Judeo-Christian ideas about space, Newton’s concept of absolute space, space from 18th century to present. Extensive new chapter (6) reviews changes in philosophy of space since publication of second edition (1969). Numerous original quotations and bibliographical references. "...admirably compact and swiftly paced style."—Philosophy of Science. Foreword by Albert Einstein. Bibliography.

Both historical treatment and critical analysis, this work by a noted physicist takes a fascinating look at a fundamental of physics, tracing its development from ancient to modern times.

Menary OpenMIND, MIND Group, Frankfurt am Main, 2015) has argued that the development of our capacities for mathematical cognition can be explained in terms of enculturation. Our ancient systems for perceptually estimating numerical quantities are augmented and transformed by interacting with a culturally-enriched environment that provides scaffolds for the acquisition of cognitive practices, leading to the development of a discrete number system for representing number precisely. Numerals and the practices associated with numeral systems play a significant role in this process. (...) However, the details of the relationship between the ancient number system and the discrete number system remain unclear. This lack of clarity is exacerbated by the problem of symbolic estrangement and the fact that unique features of how numeral systems represent require our ancient number system to play a dual role. These issues highlight that Dehaene’s From monkey brain to human brain, MIT Press, Cambridge, pp 133–157, 2005) neuronal recycling hypothesis may be insufficient to explain the neural mechanisms underlying the process of enculturation. In order to explain mathematical enculturation, and enculturation more generally, it may be necessary to adopt Anderson’s :245–266, 2010; After phrenology: neural reuse and the interactive brain, MIT Press, Cambridge, 2014) theory of neural reuse. (shrink)

This paper raises a challenge to Jonathan Schaffer's priority monism. I contend that monism may be true at the actual world but fail to hold as a matter of metaphysical necessity, contrary to Schaffer's view that monism, if true, is necessarily true. My argument challenges Schaffer for his reliance on contingent physical truths in an argument for a metaphysically necessary conclusion. A counterexample in which the actual laws of physics hold but the physical history of the universe is different shows (...) that priority monism is contingently true at best. I suggest some general lessons for discussion of metaphysical dependence. (shrink)

Dove and Machery both argue that recent findings about the nature of numerical representation present problems for Concept Empiricism. I shall argue that, whilst this evidence does challenge certain versions of CE, such as Prinz, it needn’t be seen as problematic to the general CE approach. Recent research can arguably be seen to support a CE account of number concepts. Neurological and behavioral evidence suggests that systems involved in the perception of numerical properties are also implicated in numerical cognition. Furthermore, (...) the discovery of associations between spatial and numerical representations also lends independent support to a CE approach. Although these findings support CE in general, certain versions of the theory may need revising in order to accommodate them. In particular, it may be necessary to either jettison Prinz's Modal Specificity Hypothesis or to revise one’s method for individuating modal representational formats. (shrink)

This article examines the connection, personal and intellectual, between David Hume and Edmund Burke. Scholars have often compared the two thinkers, mainly in an unsystematic and selective way. Burke’s early biographers regarded them as opposite figures on account of Hume’s religious and philosophical scepticism and Burke’s devout Christian faith. By contrast, modern scholars often stress their intellectual kinship. More specifically, they have repeatedly attempted to place Hume and Burke either close together or far apart on a liberal-conservative spectrum. This article (...) shows that an historical investigation into their personal and intellectual relationship is bound to challenge and complicate such endeavours. Besides an account of Hume’s and Burke’s acquaintance, the article discusses Burke’s engagement with Hume, and provides a comparison of key areas of their thought. It demonstrates that while Hume had something to offer Burke as a man of letters, in the 1750s and after 1790–1, Hume was less useful for Burke in the intermediate period when Burke was an active parliamentarian and Whig party member, especially since the mature Hume was so hostile to Burke’s brand of Whiggism. (shrink)

The way language as a human faculty has evolved is a question that preoccupies researchers from a wide spread of disciplines. In this book, a team of writers has been brought together to examine the evolution of language from a variety of such standpoints, including language's genetic basis, the anthropological context of its appearance, its formal structure, its relation to systems of cognition and thought, as well as its possible evolutionary antecedents. The book includes Hauser, Chomsky, and Fitch's seminal and (...) provocative essay on the subject, 'The Faculty of Language,' and charts the progress of research in this active and highly controversial field since its publication in 2002. This timely volume will be welcomed by researchers and students in a number of disciplines, including linguistics, evolutionary biology, psychology, and cognitive science. (shrink)

We present a variety of (ω 1 ,∞)-distributive forcings which when applied to models of Martin's Maximum separate certain well known reflection principles. In particular, we do this for the reflection principles SR, SR α (α ≤ ω 1 ), and SRP.

Mit seinem Gottesbegriff "non aliud" entwirft Nicolaus Cusanus einen der spektakulärsten Gedanken der Metaphysikgeschichte: den negativen Selbstbezug des Absoluten. In der vorliegenden Arbeit untersucht Max Rohstock dieses Konzept systematisch und historisch. Dabei gelingt es ihm, erstmals zu zeigen, dass Johannes Scottus Eriugena Vater dieses Konzeptes war.

We propose a revised definition of “argument scheme” that focuses on describing argumentative performances and normative assessments that occur within an argumentative context, the social context in which the scheme arises. Our premise-and-conclusion structure identifies the typical instantiation of an argument in the argumentative context, and our critical framework describes a set of normative assessments available to participants in the context, what we call _practically normative_ assessments. We distinguish this practical normativity from the _rationally or universally normative_ assessment that might (...) be imposed from outside the argumentative context. Thus, the practical norms represented in an argument scheme may still be subject to rational critique, and the scheme avoids the is/ought fallacy. We ground our theoretical discussion and observations in an empirical study of US district court opinions resolving legal questions about copyright fair use and the lawyers’ briefs that led to them, instantiating our definition of argument scheme in the “argument for classification by precedent.” Our definition addresses some criticisms the argument-scheme construct has received. For example, using our data, we show that a minimally well formed instance of this type of argument does not shift any conventional burden from the proponent of the argument to its skeptics. We also argue that these argument schemes need not be seen as dialogical. (shrink)

Volume 33, Issue 5, July 2020, Page 772-775.

David Lewis has tried to explain what it is for a possible language to be the actual language of a population in terms of his game-theoretical notion of a convention. This explanation of the actual language relation is re-evaluated in the light of some typical episodes of linguistic communication, and it is argued that speakers of a language do not generally stand in the actual language relation to that language if the actual language relation is explicated in Lewis's way. In (...) order to avoid these counterexamples, an alternative account of the actual language relation is proposed which makes use of Lewis's notion of convention in a different way. (shrink)

The eminent mathematical physicist Sir Hermann Bondi once said: “There is no more to science than its method, and there is no more to its method than Popper has said.” Indeed, many regard Sir Karl Raimund Popper the greatest philosopher of science in our generation. Much of what Popper “has said” refers to physics, but physicists, generally speaking, have little knowledge of what he has said. True, Popper's philosophy of science and, in particular, his realistic interpretation of quantum mechanics deviates (...) considerably from the generally accepted doctrine. But as Popper, rightly I think, points out, it is precisely the proliferation of divergent theories which promotes the growth of scientific knowledge; it would be a danger for physics if physicists were dogmatically tied to a single theory or would not test their theory against alternatives. It is for this purpose that, on the occasion of the nonagenarian celebration of Popper's birthday, the present essay has been written. (shrink)

I aim to vindicate the claim that we can owe someone gratitude for believing in us and to show how this seemingly prosaic fact has important upshots for the normativity of gratitude. I start by sketching a novel account of what it is to believe in someone according to which it consists in holding an affective attitude of confident optimism toward their general ability in some domain(s). I then argue that people can deserve gratitude for holding this attitude. I close (...) by showing how the possibility of being gratitudeworthy for believing in someone casts down on three commonplaces about when gratitude is owed. (shrink)

Consideration of affective dimensions beyond arousal may be useful for a more precise understanding of the effects of emotional events on episodic memory. As highlighted by Kensinger (2009), the valence of an event may differentially impact the accuracy of its recall. Paralleling work on attention, we propose that the relevance of an event or stimulus for survival may also importantly modulate memory accuracy. However, few memory studies to date have accounted for motivational relevance, and the stimuli employed in most studies (...) are not matched on this dimension. (shrink)

The canonical function game is a game of length ω1 introduced by W. Hugh Woodin which falls inside a class of games known as Neeman games. Using large cardinals, we show that it is possible to force that the game is not determined. We also discuss the relationship between this result and Σ22 absoluteness, cardinality spectra and Π2 maximality for H(ω2) relative to the Continuum Hypothesis.

Although Sinai 357 is one of the longest and best-preserved early alphabetic inscriptions from Serabit el-Khadem, these characteristics have not made it any easier to interpret. Most scholars read it as a command from a mining foreman to one of his subordinates, but this reading creates logical and contextual problems. To avoid these problems, I read Sinai 357 as a votive inscription to the Hurrian deity Teššob that employs language similar to first-millennium Northwest Semitic dedicatory inscriptions. Such a reading reflects (...) cultural and linguistic contact between speakers of Egyptian, Hurrian, and a Northwest Semitic language at the site of Serabit el-Khadem. (shrink)

Love involves an apparent contradiction in agency. On the one hand, we often talk of people being “struck” by love or subject to love’s “grip,” as though love is the imposition of an alien force. O...

Ronald Sandler's ‘Climate change and ecosystem management’ provides a fine summary of reasons to modify our approach to ecosystem management given ‘rapid and uncertain ecological change’. We...

This paper will address the concept of labor through a study of Karl Marx and Michel Henry. While Henry claims to uncover, against the tradition of Marxism itself, the truth of Marx’s philosophical conception of the human being as a laborer within a social context, I will argue that both Marx and Marxism (i.e., Étienne Balibar) can help rectify certain shortcomings in Henry’s view of the matter. Toward this end, I will begin by laying out Henry’s account of Marx’s theory (...) of labor and demonstrate that it is central to Henry’s phenomenology of life. As part of this, I will show that a proper understanding of the concept of labor goes some way toward undermining the dominant view of Henry’s work as one that neglects the role of the human being’s engagement in the world in life’s transformations. For all that, as I will demonstrate, Henry’s work fails to do justice to the ways in which the living labor of human beings is determined by the world. By analyzing the work of Marx and Balibar, this paper will show that these figures provide insights into the inter-affective, even transindividual, character of labor and thereby help remedy these pitfalls and improve Henry’s account of the nature and function of living labor. (shrink)