Some of these authors have “mixed” views: for example, MacKenzie (and perhaps Arbini) ... Topics in Early Modern Philosophy of Mind, Studies in the History ..

This is a much-needed reissue of the standard English translation of Hegel's Philosophy of Nature, originally published in 1970. The Philosophy of Nature is the second part of Hegel's Encyclopaedia of the Philosophical Sciences, all of which is now available in English from OUP. Hegel's aim in this work is to interpret the varied phenomena of Nature from the standpoint of a dialectical logic. Those who still think of Hegel as a merely a priori philosopher will here find abundant evidence (...) that he was keenly interested in and very well informed about empirical science. The Philosophy of Nature is integral to his philosophical system and deserves the most serious attention. Students and scholars of Hegel and the history of European philosophy will welcome the availability of this important text, which also includes a translation of Hegel's Zusatze or lecture notes. (shrink)

Define z to be the smallest cardinality of a function f: X → Y with X. Y ⊆ 2ω such that there is no Borel function g ⊇ f. In this paper we prove that it is relatively consistent with ZFC to have b < z where b is, as usual, smallest cardinality of an unbounded family in ωω. This answers a question raised by Zapletal. We also show that it is relatively consistent with ZFC that there exists X ⊆ (...) 2ω such that the Borel order of X is bounded but there exists a relatively analytic subset of X which is not relatively coanalytic. This answers a question of Mauldin. (shrink)

For many years, philosophers and other scholars have commented on the remarkable similarity between Spinoza and the Stoics, with some even going so far as to speak of 'Spinoza the Stoic'. Until now, however, no one has systematically examined the relationship between the two systems. In Spinoza and the Stoics Jon Miller takes on this task, showing how key elements of Spinoza's metaphysics, epistemology, philosophical psychology, and ethics relate to their Stoic counterparts. Drawing on a wide-range of secondary literature (...) including the most up-to-date scholarship and a close examination of the textual evidence, Jon Miller not only reveals the sense in which Spinoza was, and was not, a Stoic, but also offers new insights into how each system should be understood in itself. His book will be of great interest to scholars and students of ancient philosophy, early modern philosophy, Spinoza, and the philosophy of the Stoics. (shrink)

This article argues for the importance of distinguishing the form of a theory of happiness from its content. It applies this distinction to ancient ethics, to show that almost all ancient philosophers subscribed to the same basic form or conception of happiness while differing over the details or content of happiness.

Aristotle's Nicomachean Ethics is one of the most important ethical treatises ever written, and has had a profound influence on the subsequent development of ethics and moral psychology. This collection of essays, written by both senior and younger scholars in the field, presents a thorough and close examination of the work. The essays address a broad range of issues including the compositional integrity of the Ethics, the nature of desire, the value of emotions, happiness and the virtues. The result is (...) a volume which will challenge and advance the scholarship on the Ethics, establishing new ways of viewing and appreciating the work for all scholars of Aristotle. (shrink)

We consider a well-known partial order of Prikry for producing a collapsing function of minimal degree. Assuming MA + ≠ CH, every new real constructs the collapsing map.

In this paper we show that it is consistent with ZFC that for any set of reals of cardinality the continuum, there is a continuous map from that set onto the closed unit interval. In fact, this holds in the iterated perfect set model. We also show that in this model every set of reals which is always of first category has cardinality less than or equal to ω 1.

In this paper we study the question assuming MA+⌝CH does Sacks forcing or Laver forcing collapse cardinals? We show that this question is equivalent to the question of what is the additivity of Marczewski's ideals 0. We give a proof that it is consistent that Sacks forcing collapses cardinals. On the other hand we show that Laver forcing does not collapse cardinals.

We say that $\mathcal {I}$ is an ideal independent family if no element of ${\mathcal {I}}$ is a subset mod finite of a union of finitely many other elements of ${\mathcal {I}}.$ We will show that the minimum size of a maximal ideal independent family is consistently bigger than both $\mathfrak {d}$ and $\mathfrak {u},$ this answers a question of Donald Monk.

We consider a well-known partial order of Prikry for producing a collapsing function of minimal degree. Assuming $MA + \neq CH$, every new real constructs the collapsing map.

We study the preservation of selective covering properties, including classic ones introduced by Menger, Hurewicz, Rothberger, Gerlits and Nagy, and others, under products with some major families of concentrated sets of reals.Our methods include the projection method introduced by the authors in an earlier work, as well as several new methods. Some special consequences of our main results are : Every product of a concentrated space with a Hurewicz S1S1 space satisfies S1S1. On the other hand, assuming the Continuum Hypothesis, (...) for each Sierpiński set S there is a Luzin set L such that L×SL×S can be mapped onto the real line by a Borel function. Assuming Semifilter Trichotomy, every concentrated space is productively Menger and productively Rothberger. Every scale set is productively Hurewicz, productively Menger, productively Scheepers, and productively Gerlits–Nagy. Assuming d=ℵ1d=ℵ1, every productively Lindelöf space is productively Hurewicz, productively Menger, and productively Scheepers.A notorious open problem asks whether the additivity of Rothberger's property may be strictly greater than addadd, the additivity of the ideal of Lebesgue-null sets of reals. We obtain a positive answer, modulo the consistency of Semifilter Trichotomy >ℵ1.Our results improve upon and unify a number of results, established earlier by many authors. (shrink)

Reparations is an idea whose time has come. From civilian victims of war in Iraq and South America to descendents of slaves in the US to citizens of colonized nations in Africa and south Asia to indigenous peoples around the world--these groups and their advocates are increasingly arguing for the importance of addressing historical injustices that have long been either ignored or denied. This volume contributes to these debates by focusing the attention of a group of highly distinguished international experts (...) on the ways that reparations claims figure in contemporary political and social justice movements. Four broad types of reparations claims are examined, those involving indigenous peoples, the legacy of slavery in the United States, victims of war and conflict, and colonialism. In each instance, scholars and activists argue about the character of the injustice for which reparations are owed, why it is important to take these demands seriously, and what form redress should take. The aim is not consensus but to exhibit better the complexity of the issues involved--a goal which the interdisciplinary nature of the volume furthers--as well as the importance of taking seriously both conceptual issues and the actual politics of reparations. (shrink)

In this paper we prove three theorems about the theory of Borel sets in models of ZF without any form of the axiom of choice. We prove that if \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${B\subseteq 2^\omega}$$\end{document} is a Gδσ-set then either B is countable or B contains a perfect subset. Second, we prove that if 2ω is the countable union of countable sets, then there exists an Fσδ set \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} (...) \setlength{\oddsidemargin}{-69pt} \begin{document}$${C\subseteq 2^\omega}$$\end{document} such that C is uncountable but contains no perfect subset. Finally, we construct a model of ZF in which we have an infinite Dedekind finite \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${D\subseteq 2^\omega}$$\end{document} which is Fσδ. (shrink)

Hugo Grotius (1583-1645) [Hugo, Huigh or Hugeianus de Groot] was a towering figure in philosophy, law, political theory and associated fields during the seventeenth century and for hundreds of years afterwards. His work ranged over a wide array of topics, though he is best known to philosophers today for his contributions to the natural law theories of normativity which emerged in the later medieval and early modern periods. This article will attempt to explain his views on the law of nature (...) and related issues while simultaneously providing some broader assessment of his place in the history of ideas. (shrink)

There is a definite stress on the primacy of An Enquiry concerning Human Understanding over A Treatise of Human Nature by the so-called New Humeans, who in turn, advocate the sceptical/causal realist interpretation of Hume's empiricism. This paper shows how there has been a deliberate attempt by them to omit and distort certain negative aspects of Hume's life in the belief that in order to accept their interpretations we must first acknowledge that, (1) the Enquiry is the superior text and, (...) (2) reject any criticisms suggesting that Hume only wrote it to help promote the Treatise and fulfil his ambitions for literary fame. (shrink)

¿Cómo reacciona la ciudadanía en un sistema político polarizado ante una emergencia como la pandemia de la COVID-19?, ¿cómo procesa la ciudadanía las narrativas polarizadas que están en conflicto?, y ¿qué imagen se forman de la gestión política de la amenaza de la pandemia? En EE. UU, hay que retrotraerse a la epidemia de la polio de hace 70 años para encontrar una emergencia sanitaria como la pandemia de la COVID-19. No obstante, hay importantes diferencias; en la década de 1950, (...) el clima político de los EE.UU. era mucho más uniforme y consensuado que el actual, profundamente dividido y polarizado. Este trabajo utiliza datos de un estudio longitudinal realizado durante 35 años en personas jóvenes de la Generación X (ahora ya en la cuarentena) y datos provenientes de encuestas realizadas en Estados Unidos durante tres décadas, con el propósito de examinar los patrones de adquisición de la información en la comprensión de una nueva amenaza. Nuestro análisis de los últimos 35 años de la Generación X muestra que, en las elecciones de 2020, el factor predictivo del voto individual que tuvo más fuerza fue una ideología política polarizada, pero, aquellas personas que contaban con una mejor comprensión del coronavirus fueron más críticas con la gestión de la pandemia de la COVID-19 que realizó la administración de Donald Trump y estuvieron más predispuestas a votar por Joe Biden que a votar por Trump. Un análisis paralelo de una muestra probabilística representativa de personas adultas estadounidenses en 2020 reveló el mismo patrón de influencia del partidismo ideológico, la comprensión del coronavirus y la evaluación de la administración de Trump. Los resultados muestran que el conocimiento y la comprensión pueden proporcionar un efecto moderador crítico en un sistema político polarizado y dividido. (shrink)

Language and Learning is the latest volume to emerge from the Symposium Hellenisticum conference series. Like its predecessors, this book's alliterative title is a guide to its contents, which in this case examine a range of issues involving the philosophical treatment of language by Hellenistic philosophers (or, in a couple of cases, those preceding or following them), a topic that has been strangely neglected by specialists. And as with other volumes in the series, Language and Learning features a healthy blend (...) of relatively junior scholars and the most senior scholars in the field, all of whom were given expert guidance by the editors. Given the interest of the topic and the high quality of the contributions, it is a welcome addition to the literature on ancient philosophy. (shrink)

If the later Middle Ages may reasonably be considered the high point of Aristotelianism in western Europe, the sixteenth and seventeenth centuries are the high point of the renewal of Hellenistic philosophy. Scepticism, Stoicism, and Epicureanism all make powerful appearances, and indeed debates between the adherents of the modern variations on these schools echo and mirror the debates that took place in the third and second centuries BCE. Not surprisingly, the ancient philosophies (to the extent that they were stable in (...) any case) did not remain unchanged: Stoic natural law, Epicurean atomism, and Pyrrhonist doubt all are employed in new and different ways, and the arguments are often strengthened, or at least changed. Comparison of the old and new versions is often illuminating: to see the Christian Epicureanism of Gassendi can improve one's understanding of the original form; to see how Hume deals with Academic scepticism makes the process of sceptical doubt clearer on both sides. (shrink)

Let κ B be the least cardinal for which the Baire category theorem fails for the real line R. Thus κ B is the least κ such that the real line can be covered by κ many nowhere dense sets. It is shown that κ B cannot have countable cofinality. On the other hand it is consistent that the corresponding cardinal for 2 ω 1 be ℵ ω . Similar questions are considered for the ideal of measure zero sets, other (...) ω 1 saturated ideals, and the ideal of zero-dimensional subsets of R ω 1. (shrink)

MORE THAN MOST PHILOSOPHERS, Spinoza needed a coherent and sophisticated set of views on the nature of possibility: many of his most important philosophical positions and arguments depended on it. As one example, take Ethics IP33. This Proposition—among the most famous of the Ethics— states, “Things could have been produced by God in no other way, and in no other order than they have been produced.” In a salutary attempt to clarify the meaning of IP33 et relata, Spinoza adds in (...) the first Scholium to IP33 that “by these propositions I have shown more clearly than the noon light that there is absolutely nothing in things on account of which they can be called contingent.” Now, such assertions were bound to give rise to numerous objections and Spinoza knew it. To meet these objections, he immediately proceeds to one of the most powerful: namely, are there not things that actually have been “produced by God” that need not have been “produced by God?” And would it not make sense to call these things “contingent or possible?” In reply, Spinoza reinterprets the concept of possibility. We call existing things “contingent” “only because of a defect of our knowledge.” There are, he continues, two types of deficiency that lead us to regard existing things as “contingent or possible”: either we do not know “that the thing’s essence involves a contradiction” or we do know that the thing’s essence does not involve a contradiction but we do not know enough about the “order of causes” to affirm anything “certainly about its existence.”. (shrink)

Let me start with my conclusions: like most other philosophers of his era, Spinoza did not have well-developed views on consciousness and its place in the mind. Somewhat paradoxically, however, a basic tenet of his metaphysics generated a problem which might have been solved if he had thought more about those issues. So in the end, then, Spinoza did not have much to say about consciousness even though the coherency or at least the plausibility of his system demanded it. With (...) such being my assessment of Spinoza’s views on consciousness, it will come as no surprise that I regard the prospects for a robust and coherent Spinozistic theory of consciousness as dim. As explained later, I differ in this respect from some prominent Spinoza scholars. At the same time, even if we won’t find much guidance from Spinoza for thinking about consciousness, I believe that he has much to teach us about the mind. In my view, Spinoza’s philosophy of mind is instructive precisely because it attempts to understand the mind without reference to consciousness. This can and should be a healthy corrective to contemporary philosophy of mind, which is prone to inflate the place of consciousness in the mind. To make and defend all of these points, I divide my chapter into four sections. In the first, I offer a sketch of consciousness in seventeenth-century philosophy generally and Spinoza’s work specifically, a sketch which is intended to show that consciousness did not feature prominently in their accounts of the mind. Then, I note how a major problem plagues Spinoza’s account of the relationship between the physical and the mental, and I show how two attempted solutions of this problem both fail. By way of conclusion, I suggest why Spinoza might be interesting to philosophers of mind today, his silence on consciousness notwithstanding. (shrink)

Early modern philosophers looked for inspiration to the later ancient thinkers when they rebelled against the dominant Platonic and Aristotelian traditions. The impact of the Hellenistic philosophers on such philosophers as Descartes, Leibniz, Spinoza and Locke was profound and is ripe for reassessment. This collection of essays offers precisely that. Leading historians of philosophy explore the connections between Hellenistic and early modern philosophy in ways that take advantage of new scholarly and philosophical advances. The essays display a challenging range of (...) methods and will be an invaluable point of reference for philosophers, historians of ideas and classicists. (shrink)

In this paper we ask the question: to what extent do basic set theoretic properties of Loeb measure depend on the nonstandard universe and on properties of the model of set theory in which it lies? We show that, assuming Martin's axiom and κ-saturation, the smallest cover by Loeb measure zero sets must have cardinality less than κ. In contrast to this we show that the additivity of Loeb measure cannot be greater than ω 1 . Define $\operatorname{cof}(H)$ as the (...) smallest cardinality of a family of Loeb measure zero sets which cover every other Loeb measure zero set. We show that $\operatorname{card}(\lfloor\log_2(H)\rfloor) \leq \operatorname{cof}(H) \leq \operatorname{card}(2^H)$ , where card is the external cardinality. We answer a question of Paris and Mills concerning cuts in nonstandard models of number theory. We also present a pair of nonstandard universes $M \preccurlyeq N$ and hyperfinite integer H ∈ M such that H is not enlarged by N, 2 H contains new elements, but every new subset of H has Loeb measure zero. We show that it is consistent that there exists a Sierpiński set in the reals but no Loeb-Sierpiński set in any nonstandard universe. We also show that it is consistent with the failure of the continuum hypothesis that Loeb-Sierpiński sets can exist in some nonstandard universes and even in an ultrapower of a standard universe. (shrink)

In the early modern period, laws of nature underwent two re markable changes: first, their role in science and philosophy was greatly expanded as they became central to investigation and explanation; and second, ontology (are the laws “real” or not?) and induction emerged as far and away the most important problems of interpretation. The dramatic expansion in the variety of the laws and their range of application, together with the emergence of ontology and induction as (the) paramount problems of interpretation, (...) so revolutionized thinking about such laws that it is hard for us, nowadays, to conceive of them in any other terms. For both historical and philosophical reasons, however, it is important that we try: historical, because as a matter of fact philosophers and scientists did not always conceive of laws of nature as we do today; philosophical, because there are ways of conceiving of the laws, different from the dominant conception nowadays, which, if properly attended to, might prove instructive. (shrink)

Philosophers have long debated whether any ideas are innate in the human mind and if so, what they might be. The issues here are real and important but it often seems that the discussion of them isn’t. One of the main reasons that these discussions are frequently so frustrating is that the various sides seem to be talking past each other rather than engaging in genuine argument. When this happens, it seems to me that it is usually because the issues (...) they are discussing have not been formulated clearly enough. To avoid that problem and also to motivate what follows, I want to begin with an overview of some philosophical concepts and questions before I get to the historical part of my paper. (shrink)

The Axiom of Projective Determinacy implies the existence of a universal $\utilde{\Pi}^{1}_{n}\setminus\utilde{\Delta}^{1}_{n}$ set for every $n \geq 1$. Assuming $\text{\upshape MA}(\aleph_{1})+\aleph_{1}=\aleph_{1}^{\mathbb{L}}$ there exists a universal $\utilde{\Pi}^{1}_{1}\setminus\utilde{\Delta}^{1}_{1}$ set. In ZFC there is a universal $\utilde{\Pi}^{0}_{\alpha}\setminus\utilde{\Delta}^{0}_{\alpha}$ set for every $\alpha$.

Aristotle's ethics are the most important in the history of Western philosophy, but little has been said about the reception of his ethics by his many successors. The present volume offers thirteen newly commissioned essays covering figures and periods from the ancient world, starting with the impact of the ethics on Hellenistic philosophy, taking in medieval, Jewish and Islamic reception and extending as far as Kant and the twentieth century. Each essay focuses on a single philosopher, school of philosophers, or (...) philosophical era. The accounts examine and compare Aristotle's views and those of his heirs and also offer a reception history of the ethics, dealing with matters such as the availability and circulation of Aristotle's texts during the periods in question. The resulting volume will be a valuable source of information and arguments for anyone working in the history of ethics. (shrink)

Language and Learning is the latest volume to emerge from the Symposium Hellenisticum conference series. Like its predecessors, this book's alliterative title is a guide to its contents, which in this case examine a range of issues involving the philosophical treatment of language by Hellenistic philosophers (or, in a couple of cases, those preceding or following them), a topic that has been strangely neglected by specialists. And as with other volumes in the series, Language and Learning features a healthy blend (...) of relatively junior scholars and the most senior scholars in the field, all of whom were given expert guidance by the editors. Given the interest of the topic and the high quality of the contributions, it is a welcome addition to the literature on ancient philosophy. (shrink)

We show that there is a model of ZF in which the Borel hierarchy on the reals has length ω2. This implies that ω1 has countable cofinality, so the axiom of choice fails very badly in our model. A similar argument produces models of ZF in which the Borel hierarchy has exactly λ + 1 levels for any given limit ordinal λ less than ω2. We also show that assuming a large cardinal hypothesis there are models of ZF in which (...) the Borel hierarchy is arbitrarily long. (shrink)