In his milestone textbook Lattice Theory, Garrett Birkhoff challenged his readers to develop a "common abstraction" that includes Boolean algebras and lattice-ordered groups as special cases. In this paper, after reviewing the past attempts to solve the problem, we provide our own answer by selecting as common generalization of ������������ and ������������ their join ������������∨������������ in the lattice of subvarieties of ������ℒ (the variety of FL-algebras); we argue that such a solution is optimal under several respects and we (...) give an explicit equational basis for ������������∨������������ relative to ������ℒ. Finally, we prove a Holland-type representation theorem for a variety of FL-algebras containing ������������∨������������. (shrink)

This chapter seeks to establish that Spinoza accepts the legitimacy of many teleological explanations; that in two important respects, Leibniz's view of teleology is not more, and perhaps even less, Aristotleian than Descartes's; and that among Descartes, Spinoza, and Leibniz, it is Spinoza who holds the view of teleology closest to that of Aristotle. The arguments for derive from examinations of Spinoza's doctrine of conatus, critical analysis of Jonathan Bennett's proposed grounds for interpreting Spinoza as denying all teleology, and the (...) application of Spinoza's distinction of three kinds of knowledge to the distinction between mechanistic and teleological explanation. The arguments for and are based on an examination of the answers given by Aristotle, Descartes, Leibniz, and Spinoza to four basic questions about the nature and range of teleology and teleological explanation. These questions concern the dependence of teleology on thought, the relation of teleology to divine will or purpose, the existence of “sub‐human” teleology, and the role of teleological explanation in natural philosophy. (shrink)

The world is becoming deeply interconnected, whereby actions in one part of the world can have profound repercussions elsewhere. In a world of overlapping communities of fate, there has been a renewed enthusiasm for thinking about what it is that human beings have in common, and to explore the ethical basis of this. This has led to a renewed interest in examining the normative principles that might underpin efforts to resolve global collective action problems and to ameliorate serious global risks. (...) This project can be referred to as the project of cosmopolitanism. In response to this renewed cosmopolitan enthusiasm, this volume has brought together 25 seminal essays in the development of cosmopolitan thought by some of the world's most distinguished cosmopolitan thinkers and critics. It is divided into six sections: classical cosmopolitanism, global justice, culture and cosmopolitanism, political cosmopolitanism, cosmopolitan global governance and critical examinations. This volume thus provides a thorough and extensive introduction to contemporary cosmopolitan thought and acts as a definitive source for those interested in cosmopolitan thinking and its critics. See also David Held's _Cosmopolitanism: Ideals and Realities_. (shrink)

At the end of a thoughtful article on the future of nuclear war, Wiesner and York concluded that: "Both sides in the arms race are... confronted by the dilemma of steadily increasing military power and steadily decreasing national security. It is our considered professional judgment that this dilemma has no technical solution. If the great powers continue to look for solutions in the area of science and technology only, the result will be to worsen the situation.".

Weak particularism about reasons is the view that the normative valency of some descriptive considerations varies, while others have an invariant normative valency. A defence of this view needs to respond to arguments that a consideration cannot count in favour of any action unless it counts in favour of every action. But it cannot resort to a global holism about reasons, if it claims that there are some examples of invariant valency. This paper argues for weak particularism, and presents a (...) framework for understanding the relationships between practical reasons. A central part of this framework is the idea that there is an important kind of reason-a 'presumptive reason'-which need not be conclusive, but which is neither pro tanto nor prima facie. (shrink)

We present a self-organizing approach to sentence processing that sheds new light on notional plurality effects in agreement attraction, using pseudopartitive subject noun phrases. We first show that notional plurality ratings predict verb agreement choices in pseudopartitives, in line with the “Marking” component of the Marking and Morphing theory of agreement processing. However, no account to date has derived notional plurality values from independently needed principles of language processing. We argue on the basis of new experimental evidence and a dynamical (...) systems model that the theoretical black box of notional plurality can be unpacked into objectively measurable semantic features. With these semantic features driving structure formation, our model reproduces the human verb production patterns as a byproduct of normal processing. Finally, we discuss how the self-organizing approach might be extended to other agreement attraction phenomena. (shrink)

This chapter focuses on the ethical theories of the early modern philosophers Thomas Hobbes, Justus Lipsius, Descartes, Spinoza, Benjamin Whichcote, Lord Shaftesbury, and Samuel Clarke. The discussions include aspects of Hobbes' moral philosophy that posed a challenge for many philosophers of the second half of the seventeenth century who were committed to philosophy as a form of self-help; Lipsius and Descartes' appropriation of ancient and Hellenistic moral philosophy in connection with changing ideas about control of the passions and the happiest (...) and best life; and the maxim or epigram – a literary form used by moralists to counsel readers on how to best know and govern themselves. (shrink)

Readers of Spinoza's philosophy have often been daunted, and sometimes been enchanted, by the geometrical method which he employs in his philosophical masterpiece the Ethics. In Meaning in Spinoza's Method Aaron Garrett examines this method and suggests that its purpose, in Spinoza's view, was not just to present claims and propositions but also in some sense to change the readers and allow them to look at themselves and the world in a different way. His discussion draws not only on (...) Spinoza's works but also on those of the philosophers who influenced Spinoza most strongly, including Hobbes, Descartes, Maimonides and Gersonides. This controversial book will be of interest to historians of philosophy and to anyone interested in the relation between form and content in philosophical works. (shrink)