This paper has two main goals: first, it reconstructs Aristotle’s account of measurement in his Metaphysics and shows how it connects to modern notions of measurement. Second, it demonstrates that Aristotle’s notion of measurement only works for simple measures, but leads him into a dilemma once it comes to measuring complex phenomena, like mo-tion, where two or more different aspects, such as time and space, have to be taken into account. This is shown with the help of Aristotle’s reaction to (...) one of the problems Zeno’s dichotomy paradox raises: Aristotle implicitly employs a complex measure of motion when solving this problem, while he explicitly characterizes the measure of motion as a simple measure in his Physics. (shrink)

This paper aims to show that—and how—Plato’s notion of the receptacle in the Timaeus provides the conditions for developing a mathematical as well as a physical space without itself being space. In response to the debate whether Plato’s receptacle is a conception of space or of matter, I suggest employing criteria from topology and the theory of metric spaces as the most basic ones available. I show that the receptacle fulfils its main task–allowing the elements qua images of the Forms (...) to exist as sensible things by being that in which the elements appear, change and move–in virtue of being pure continuity. All further qualifications required for a full notion of space are derived solely from the content of the receptacle. (shrink)

Zeno’s Moving Rows paradox is the only paradox among his four paradoxes of motion that is usually skipped over as being of no philosophical interest. This paper aims to give a new diagnosis of the Moving Rows paradox, a diagnosis that allows us to see it as raising a philosophically interesting problem concerning the relationship of time, space, and motion. It shows the consequences of confusing time’s dependence on the space covered in a motion with time’s dependence on the motion (...) performed. I argue that, to date, the paradox has not been given the correct analysis – usually being reconstructed either as a mere oversight, or as some confusion about the relativity of motion, or as a very different atomistic paradox. (shrink)

This paper argues that the problem of how to act in the face of radical contingency is of central importance in Musil’s novel and intimately connected to what Musil calls the sense of possibility. There is a variety of different strategies by which individuals, and the state of Kakania as a whole, deal with contingency, and they all involve a claim to a kind of grounding or necessity; for example, the Parallel Campaign is one big attempt to ground Kakania in (...) what can be perceived as a form of metaphysical necessity. With the figure of Ulrich, Musil radicalizes the problem by showing the consequences of viewing even the relationship one has to one’s own self as contingent – the ultimate outcome of which is self-alienation. (shrink)

The paper demonstrates that Parmenides’ monism is a logical consequence of his criteria for philosophy, in conjunction with the logical operators he uses, and their holistic connection. Parmenides, I argue, is the first philosopher to set out explicit criteria for philosophy, establishing as criterion not only consistency, but also what I call rational admissibility, the requirement when giving an account of something that the account be based on rational analysis and can withstand rational scrutiny. I give a detailed account of (...) the logical operators Parmenides uses in his argument and of the way in which his notion of being is tailored to fit both them and his criteria for philoso-phy. (shrink)

This is part of a two-paper project to show in detail in ways that have not been attempted before that, in the Symposium, Plato uses the language and metaphors of the Eleusinian Mysteries as a template for the ascent to the Form of Beauty; and also to explain why he might have chosen to do so. The standard accounts of the Eleusinian Mysteries come from sources that have themselves been influenced by Plato and hence are unsuitable to demonstrating the extent (...) of his exploitation of the Mysteries. This first paper offers a reconstruction of what can be known about the Eleusian Mysteries with the help of Pre-Platonic sources, by looking at material culture, archaeological remains, and pre-Platonic literature. (shrink)

What did the early Greek philosophers think about animals and their lives? How did they view plants? And, ultimately, what type of relationship did they envisage between all sorts of living beings? On these topics there is evidence of a prolonged investigation by several Presocratics. However, scholarship has paid little attention to these issues and to the surprisingly "modern" development they received in Presocratics' doctrines. This book fills this lacuna through a detailed (and largely unprecedented) analysis of the extant evidence. (...) The volume includes also the first extensive collection of the ancient sources pertaining to living beings and life in early Greek philosophy, organized chronologically and thematically. (shrink)