Let ℜ be an o-minimal expansion of (ℝ, <+) and (φk)k∈ℕ be a sequence of positive real numbers such that limk→+∞f(φk)/φk+1=0 for every f:ℝ→ ℝ definable in ℜ. (Such sequences always exist under some reasonable extra assumptions on ℜ, in particular, if ℜ is exponentially bounded or if the language is countable.) Then (ℜ, (S)) is d-minimal, where S ranges over all subsets of cartesian powers of the range of φ.

We say that E is R-sparse if f(Ek) has no interior, for each k 2 N and f : Rk ! R de nable in R. (Throughout, \de nable" means \de nable without parameters".) In this note, we consider the extent to which basic metric and topological properties of subsets of R de nable in (R;E)# are determined by the corresponding properties of subsets of R de nable in (R;E), when R is an o-minimal expansion of (R;<;+;0;1) and E is (...) R-sparse. The precise statement of the main result is a bit complicated, but we can state some special cases now. (shrink)

An open U ⊆ ℝ is produced such that (ℝ, +, ·, U) defines a Borel isomorph of (ℝ, +, ·, ℕ) but does not define ℕ. It follows that (ℝ, +, ·, U) defines sets in every level of the projective hierarchy but does not define all projective sets. This result is elaborated in various ways that involve geometric measure theory and working over o-minimal expansions of (ℝ, +, ·). In particular, there is a Cantor set E ⊆ ℝ (...) such that (ℝ, +, ·, E) defines a Borel isomorph of (ℝ, +, ·, ℕ) and, for every exponentially bounded o-minimal expansion $\germ{R}$ of (ℝ, +, ·), every subset of ℝ definable in ( $\germ{R}$ , E) either has interior or is Hausdorff null. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Irreplaceable Cannot Be ReplacedEllen HarveyThe Irreplaceable Cannot Be Replaced, Ellen Harvey, 2008. Photographs: Jan Baracz.People in New Orleans were invited to submit images or descriptions of irreplaceable places, people, or things lost to Hurricane Katrina. Eleven submissions were chosen at random and the artist painted 16” x 20” oil paintings based on those submissions. All thirty texts that were submitted were framed and exhibited along with the (...) paintings at the Contemporary Arts Center/New Orleans as part of the exhibition Something from Nothing, curated by Dan Cameron. Texts without a painting were accompanied by a framed black panel. At the end of the exhibition, all of the paintings and the framed texts were given away to the participants.Ellen Harvey was born in the United Kingdom and lives and works in Brooklyn, NY. She has exhibited extensively in the US and internationally and was most recently included in the 2008 Whitney Biennial. Recent solo exhibitions include Private Collections at Locks Gallery, Philadelphia, The Museum of Failure at Luxe Gallery, New York, Beautiful/Ugly at Magnus Müller in Berlin, Bad Mirror at Galerie Gebruder Lehmann in Dresden, Mirror at the Pennsylvania Academy, and A Whitney for the Whitney at Philip Morris at the Whitney Museum at Altria. She took part in the Whitney Independent Study Program and the PS1 Studio Program. Recent awards include a Pennies from Heaven Grant, a Philadelphia Exhibitions Initiative Grant, a Rema Hort Mann Foundation Grant, a Palm Beach County Cultural Council Grant, and a New York Foundation for the Arts Fellowship. She has completed projects for both the New York and Chicago Transit Authorities, most recently including a mosaic for the new Metro-North Yankee Stadium Station. The New York Beautification Project was published by Gregory Miller in 2005, and Ellen Harvey: Mirror was published by the Pennsylvania Academy in 2006. Click for larger view View full resolutionI am 87 years old living in a trailer on our property in New Orleans.We had 5 ft of water, which remained in the house 6 weeks creating mold to the ceiling.We lost everything. When I read Chris Rose’s column (he’s my favorite columnist in the whole world) it brought to mind my mother’s two dining room chairs that had been around as long as I can remember. I had them restored in about 1976 by Senior Citizens in classes of the “Peoples Program” sponsored by the nuns on Mirabean Ave. The wood was polished and varnished with a light brown stain and the seats were re-caned. I was born in 1920 so the chairs could be 75 years old. Anyway I can imagine you will have many interesting subjects to choose from but I’m submitting mine hoping I’ll be one of the very fortunate ones selected.I am terrible at drawing but will give you as complete a description as I can.I loved those chairs and enjoyed them for extra seating on holidays and at parties and they were conversation pieces.Alice Delaney[End Page 2] Click for larger view View full resolutionThere are so many “washed away” treasures, that the memorialization of even just one will be everlastingly meaningful to the community.I am submitting photographs of porcelain dolls, which I had crafted prior to the disaster. The dolls shown were created from commercial molds and were ready to go to a “new home.” Needless to say these dolls were submerged under water for at least two weeks. I call them my “children of the flood” but have not had the courage to disassemble them. I was able to rescue some doll parts and am in the process of cleaning, sorting and sanitizing them for future assembly.If I am ever able to get back to my very rewarding hobby, which was helpful in supplementing my retirement income, I will have to replace my electronic kiln and most of my doll making supplies. Many of the molds that were destroyed are no longer available. However, I will keep the memories dear, I have been fortunate enough to replace my sewing machines and some of the fabric used for clothing and doll... (shrink)

If the 1960’s did not see a resurgence of belief in God, they at least witnessed a renewed interest in him, stimulated by die writings of Harvey Cox, John Robinson and the so-called death-of-God theologians. These were concerned with the phenomenon of the ‘absence of God’, so called because, for all the difference he seemed to make in the day-to-day business of nations and cultures, God might just as well not exist. Whatever knowledge gaps may previously have existed have (...) already been plugged either in fact or in principle, and this without any explanation involving a God. The universe no longer seems to point beyond itself, but seems, on the contrary, pretty clearly self-sufficient. In such circumstances the ground has been cut from under anyone wanting to say that God exists. And if the claim continues to be made, it is from a philosophical viewpoint quite gratuitous. (shrink)

After briefly presenting Ronald Giere's (1979, 1980) recent counterfactual characterization of population-level causation, I present two counterexamples to the characterization. The difficulty discussed stems from nonaccidental correlations that can obtain between causally effective and causally neutral factors.

Ellen Furlong and Laurie Santos helpfully summarize a number of fascinating studies of certain influences on both human and monkey behavior. As someone who works primarily in philosophy, I am not in a position to dispute the details of the studies themselves. But in this brief commentary I do want to raise some questions about the inferences Furlong and Santos make on the basis of those studies. In general, I worry that they may be overreaching beyond what their own data (...) suggests. (shrink)

Conventional medical ethics and the law draw a bright line distinguishing the permitted practice of withdrawing life-sustaining treatment from the forbidden practice of active euthanasia by means of a lethal injection. When clinicians justifiably withdraw life-sustaining treatment, they allow patients to die but do not cause, intend, or have moral responsibility for, the patient's death. In contrast, physicians unjustifiably kill patients whenever they intentionally administer a lethal dose of medication. We argue that the differential moral assessment of these two practices (...) is based on a series of moral fictions – motivated false beliefs that erroneously characterize withdrawing life-sustaining treatment in order to bring accepted end-of-life practices in line with the prevailing moral norm that doctors must never kill patients. When these moral fictions are exposed, it becomes apparent that conventional medical ethics relating to end-of-life decisions is radically mistaken. (shrink)

One of the liveliest areas in moral psychology in recent years has been research on the extent to which conscious reasoning leads to the formation of moral judgments. The goal of this chapter is to review and briefly assess three of the leading positions today on this topic - traditional rationalism, social intuitionism, and morphological rationalism - each of which has significant implications for moral epistemology.

We have been particularly interested in the demonstrable unremovability of machinery, which is a theme that can be pursued systematically starting at the most elementary level - the use of binary notation to represent integers; the use of rational numbers to solve linear equations; the use of real and complex numbers to solve polynomial equations; and the use of transcendental functions to solve differential equations.

We discuss what we take to be three possible misconceptions in the foundations of general relativity, relating to: the interpretation of the weak equivalence principle and the relationship between gravity and inertia; the connection between gravitational redshift results and spacetime curvature; and the Einstein equivalence principle and the ability to ``transform away" gravity in local inertial coordinate systems.

In a wide-ranging inquiry Richard W. Miller provides new resources for coping with the most troubling types of moral conflict: disagreements in moral conviction, conflicting interests, and the tension between conscience and desires. Drawing on most fields in philosophy and the social sciences, including his previous work in the philosophy of science, he presents an account of our access to moral truth, and, within this framework, develops a theory of justice and an assessment of the role of morality in (...) rational choice. In Miller's view, we are often in a position to claim that our moral judgments are true descriptions of moral facts. But others, relying on contrary ways of moral learning, would reject truths that we are in a position to assert, in dissent that does not depend on irrationality or ignorance of relevant evidence or arguments. With this mixed verdict on "moral realism," Miller challenges many received views of rationality, scientific method, and the relation between moral belief and moral choice. In his discussion of justice, Miller defends the adequacy, for modern political choices, of a widely shared demand that institutions be freely and rationally acceptable to all. Drawing on social research and economic theories, he argues that this demand has dramatically egalitarian consequences, even though it is a premise of liberals and conservatives alike. In the final chapters, Miller investigates the role and limits of morality in the choice of conduct, arguing for new perspectives on reason and impartiality. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

Ofrezco una exposición, tanto apreciativa como crítica, de la interpretaciónpropensista de la probabilidad que Karl Popper introdujo en 1957 y desarrollóen numerosas publicaciones durante los 35 años siguientes.

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Across mammals, when fathers matter, as they did for hunter-gatherers, sex-similar pair-bonding mechanisms evolve. Attachment fertility theory can explain Schmitt's and other findings as resulting from a system of mechanisms affording pair-bonding in which promiscuous seeking is part. Departures from hunter-gatherer environments (e.g., early menarche, delayed marriage) can alter dating trajectories, thereby impacting mating outside of pair-bonds.

It is argued that an unheralded moment marking the beginnings of relativity theory occurred in 1889, when G. F. FitzGerald, no doubt with the puzzling 1887 Michelson-Morley experiment fresh in mind, wrote to Heaviside about the possible effects of motion on inter-molecular forces in bodies. Emphasis is placed on the difference between FitzGerald's and Lorentz's independent justifications of the shape distortion effect involved. Finally, the importance of the their `constructive' approach to kinematics---stripped of any commitment to the physicality of the (...) ether--- will be defended, in the spirit of Pauli, Swann and Bell. (shrink)

This study explores the pivotal concept of “objective possibility” within Lukács’s History and Class Consciousness, a concept that has received less attention compared to more prominent ideas such as reification or totality. Lukács frequently refers to “objective possibility” and related terms in essays like “What Is Orthodox Marxism?” and “Class Consciousness,” emphasizing its importance in understanding class consciousness theoretically. The term’s roots for Lukács derive from Max Weber’s methodological writings, which drew from John Stuart Mill and Johannes von Kries and (...) applied to historical and social causation. However, Lukács diverges from Weber’s use, focusing not on counterfactual historical events but on latent historical tensions in the present that can be actualized through collective action. The study argues that Lukács integrates Weberian objective possibility with Marxist and Hegelian language, utilizing it within a modal social ontology. This approach allows Lukács to theorize key questions of class consciousness, historical action, and revolution. By drawing on Hegel’s dialectics of possibility, actuality, and necessity, as well as Marxian contradictions in material conditions, Lukács reconfigures objective possibility from a heuristic tool for the writing of history to an ontologically significant element in the field of historical action. (shrink)

The Past Hypothesis defended by David Wallace in his 2011 account of macroscopic irreversibility is technically distinct from, but in the same spirit as, that of David Albert in his 2000 book Time and Chance. I am concerned in this essay with the role of objective probability in both accounts, which I find obscure. Most of the analysis will be devoted to the classical treatments by both authors, but a final section will question whether Wallace's quantum version involving unitary dynamics (...) removes this obscurity. (shrink)

The example can be generalized. Suppose that ϕ and ψ are suffi- ciently different functions of an independent variable t. We may show that whenever X’s predictions for ϕ and ψ lie (weakly) between Z’s predictions and T’s predictions (the true values), then there are other quantities, interdefinable with ϕ and ψ, that reverse the ordering.