Online research in philosophy

According to Quine’s indispensability argument, we ought to believe in just those mathematical entities that we quantify over in our best scientific theories. Quine’s criterion of ontological commitment is part of the standard indispensability argument. However, we suggest that a new indispensability argument can be run using Armstrong’s criterion of ontological commitment rather than Quine’s. According to Armstrong’s criterion, ‘to be is to be a truthmaker (or part of one)’. We supplement this criterion with our own brand of metaphysics, 'Aristotelian realism', in order to identify the truthmakers of mathematics. We consider in particular as a case study the indispensability to physics of real analysis (the theory of the real numbers). We conclude that it is possible to run an indispensability argument without Quinean baggage.

Quine argues that if sentences that are set theoretically equiv- alent are interchangeable salva veritate, then all transparent operators are truth-functional. Criticisms of this argument fail to take into account the conditional character of the conclusion. Quine also argues that, for any person P with minimal logical acuity, if ‘belief’ has a sense in which it is a transparent operator, then, in that sense of the word, P believes everything if P believes anything. The suggestion is made that he intends that result to show us that ‘believes’ has no transparent sense. Criticisms of this argument are either based on unwarranted assertions or on definitions of key terms that depart from Quine’s usage of those terms.

Aristotle’s economic thinking in the Nicomachean Ethics 5.5 and Politics 1 provides one of the earliest analyses of the economic nature exchange. Establishing the significance of Aristotle in this area has often led modern commentators to equate Aristotle’s descriptive analysis of use and exchange to the definitions of use-value and exchange-value as it is found in Karl Marx. In this article, I show that Aristotle’s understanding of use and exchange is qualitatively different from this interpretation, focusing in particular on the ethical nature of use and how, for Aristotle, exchange is an extension of practical deliberation.

This paper examines Quine’s web of belief metaphor and its role in his various responses to conventionalism. Distinguishing between two versions of conventionalism, one based on the under-determination of theory, the other associated with a linguistic account of necessary truth, I show how Quine plays the two versions of conventionalism against each other. Some of Quine’s reservations about conventionalism are traced back to his 1934 lectures on Carnap. Although these lectures appear to endorse Carnap’s conventionalism, in exposing Carnap’s failure to provide an explanatory account of analytic truth, they in fact anticipate Quine’s later critique of conventionalism. I further argue that Quine eventually deconstructs both his own metaphor and the thesis of under-determination it serves to illustrate. This enables him to hold onto under-determination, but at the cost of depleting it of any real epistemic significance. Lastly, I explore the implications of this deconstruction for Quine’s indeterminacy of translation thesis.

Introduction -- The common hellenic meaning of "genus" -- The Pollaxos legomena or things said in many ways -- Genus in the explanation of change : the subject and substratum principles -- To what is Aristotle's theory of change a response? : the pre-socratic and platonic background -- Change : the principles of nature in physics I -- A first mention of matter and form -- Genus in the explanation of change : the definition of change -- Aristotle's definition of change : physics III -- The circularity objections -- The advantages of Aristotle's theory -- The use of genus in change -- Genus in the explanation of change generation, "for man begets man" (1032-24) -- Generation -- Change and genus -- The generation of animals as organic substances -- Animal generation and the mule -- Genus in definitions : the Aristotelian and platonic division of a genus -- "What is definition?" -- Platonic division and definition -- Aristotle's use of genus and animal taxonomy -- The use of "genus" in Pa I -- Analogy vs. the more and the less -- Taxonomy : the megista gene -- Genus in definitions : why Aristotle was a realist -- Division and definition in Aristotle -- Causal definitions , substantial definitions, and definitions by matter and form -- The unity of definition and division -- The use of genus in definition -- Case study I : the definition of the psyche -- On matter as substratum -- On matter : the domain problem -- On matter : is it substance? -- On matter : potentiality -- The elements : is ontological reduction possible? -- Proper matter and generation revisited -- The indeterminacy vs. nature problem -- On genus as matter -- The analogy interpretation : Aristotle's mention of genus as matter -- The literal interpretation : Aristotle's use of genus as matter -- The principal unity of Aristotle's thought.

The Nicomachean Ethics is generally thought to be a “dialectical” work, aimed at resolving aporia in a set of endoxa, which it takes as its starting-point. I argue that Aristotle’s aim in the treatise is, rather, to produce definitions of key ethical terms, and that his starting-points are limited to evaluative and discriminative judgments of a certain sort, which are demanded by the nature of the discipline and are not endoxa. I discuss also how the definitions are reached (focusing on the cases of the virtues of character) and the roles that aporiai do play in the process.

Quine, in an influential passage, characterizes a certain kind of metaphysical view as "Aristotelian essentialism." Recent work on Aristotle suggests that he may not have been an essentialist in Quine's sense. This paper examines the question whether, and to what extent, Aristotle is committed to the kind of essentialism Quine discusses. Various promising areas of Aristotle's thought (alteration vs. coming-to-be and passing-away, kath' hauto predication) are examined and found wanting as sources of essentialism. Instead, Aristotle is found to be committed to essentialism in the hylomorphic conception of substance featured in the late books of the Metaphysics, despite the superficially anti-essentialistic appearance of the conception of matter as the ultimate subject of predication. Essentialism is part and parcel of Aristotle's conception of substances as the basic individuals.

Gupta-Belnap-style circular definitions use all real numbers as possible starting points of revision sequences. In that sense they are boldface definitions. We discuss lightface versions of circular definitions and boldface versions of inductive definitions.

Spinoza scholars have claimed that we are faced with a dilemma: either Spinoza's definitions in his Ethics are real, in spite of indications to the contrary, or the definitions are nominal and the propositions derived from them are false. I argue that Spinoza did not recognize the distinction between real and nominal definitions. Rather, Spinoza classified definitions according to whether they require a priori or a posteriori justification, which is a classification distinct from either the real/nominal or the intensional/extensional classification. I argue that Spinoza uses both a priori and a posteriori definitions in the Ethics and that recognizing both types of definitions allows us to understand Spinoza's geometric method in a new way. We can now understand the geometric method as two methods, one resulting in propositions that Spinoza considers to be absolutely certain and another resulting in propositions that Spinoza does not consider certain. The latter method makes use of a posteriori definitions and postulates, whereas the former method uses only a priori definitions and axioms.

Students of politics cleave to a welter of conflicting conceptions of their subject. We all know that these conceptions shape the questions researchers put to politics, as well as the assumptions on which they make their inquiries. But we lack any attempt to list and classify these conceptions. This research note does just that, listing and classifying 29 1/2 definitions of politics I have found in the scholarly literature. I present the definitions and divide them into seven classes: power-seeking definitions, power-distributing definitions, struggle-and-competition definitions, collective decision and -action definitions, group- and social order-production definitions, authority-asserting definitions, and shaping -values and -arrangements definitions. Among those listed are the Weberian, Marxist, feminist, collective-choice, and conservative definitions of politics.