Critical Notice for: Metaphysics and the Philosophy of Science: New Essays. Edited by Matthew H. Slater and Zanja Yudell. Oxford University Press, 2017. x + 258 pp.

Newton's Principia begins with eight formal definitions and a scholium, the so-called scholium on space and time. Despite a history of misinterpretation, scholars now largely agree that the purpose of the scholium is to establish and defend the de fi nitions of key concepts. There is no consensus, however, on how those definitions differ in kind from the Principia's formal definitions and why they are set-off in a scholium. The purpose of the present essay is to shed light on the (...) scholium by focusing on Newton's notion and use of de fi nition. The resulting view is developmental. I argue that when Newton first wrote the Principia, he viewed the scholium's definitions as items of “natural philosophy.” By the time of the third edition, however, he came to view their methodological status differently; he viewed them as belonging to the more qualified “manner of geometers.” I explicate the two methods of natural inquiry and draw out their implications for Newton's account of space. (shrink)

In the Scholium to the Definitions at the beginning of the {\em Principia\/} Newton distinguishes absolute time, space, place and motion from their relative counterparts and attempts to justify they are indeed ontologically distinct in that the absolute quantity cannot be reduced to some particular category of the relative, as Descartes had attempted by defining absolute motion to be relative motion with respect to immediately ambient bodies. Newton's bucket experiment, rather than attempting to show that absolute motion exists, is one (...) of five arguments from the properties, causes and effects of motion that attempts to show that no such program can succeed, and thus that true motion can be adequately analyzed only by invoking immovable places, i.e., the parts of absolute space. (shrink)

Kathleen Stock’s engaging and careful book demonstrates that ‘extreme intentionalism’ – the view that a fiction’s content is determined by what its author actually intended – has for too long been held back by a set of familiar objections.1 1 It is often thought to have implausible consequences involving disregarding conventional meaning, permitting undetectable fictional content, denying that authorial intentions can be unsuccessful, or giving too much importance to extraneous indications of intention and too little to the work itself. All (...) these objections, Stock argues, are overplayed, all are answerable, and several ultimately favour extreme intentionalism over its rivals. Stock’s defence of extreme intentionalism grounds a view of imaginative resistance, an account of the fiction/non-fiction distinction and of what an individual fiction is, and a characterization of propositional imagining and of the nature of supposition. (shrink)

I discuss the three distinctions “absolute and relative”, “true and apparent”, and “mathematical and common”, for the specific case of time in Newton’s Principia. I argue that all three distinctions are needed for the project of the Principia and can be understood within the context of that project without appeal to Newton’s wider metaphysical and theological commitments. I argue that, within the context of the Principia, the three claims that time is absolute rather than relative, true rather than apparent, and (...) mathematical rather than common, are to be evaluated with respect to the needs of, and relative to the success of, the project of the Principia. I claim that Newton is thereby offering a new, and empirical, philosophy of time. (shrink)