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Jacob Rosen
Harvard University
  1.  97
    Aristotle's Actual Infinities.Jacob Rosen - manuscript
    Aristotle is said to have held that any kind of actual infinity is impossible. I argue that he was a finitist (or "potentialist") about _magnitude_, but not about _plurality_. He did not deny that there are, or can be, infinitely many things in actuality. If this is right, then it has implications for Aristotle's views about the metaphysics of parts and points.
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  2.  52
    The Varieties of Necessity in Aristotle’s Physics II.9.Jacob Rosen - manuscript
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  3.  61
    Zeno Beach.Jacob Rosen - forthcoming - Phronesis.
    On Zeno Beach there are infinitely many grains of sand, each half the size of the last. Supposing Aristotle denied the possibility of Zeno Beach, did he have a good argument for the denial? Three arguments, each of ancient origin, are examined: (1) the beach would be infinitely large; (2) the beach would be impossible to walk across; (3) the beach would contain a part equal to the whole, whereas parts must be lesser. It is attempted to show that none (...)
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  4.  27
    Physics V–VI Vs. VIII: : Unity of Change and Disunity in the Physics.Jacob Rosen - 2015 - In Mariska Leunissen (ed.), Aristotle’s Physics, a Critical Guide. Cambridge, UK: pp. 206–224.
    Aristotle offers several arguments in Physics viii.8 for his thesis that, when something moves back and forth, it does not undergo a single motion. These arguments occur against the background of a sophisticated theory, expounded in Physics v—vi, of the basic structure of motions and of other continuous entities such as times and magnitudes. The arguments in Physics viii.8 stand in a complex relation to that theory. On the one hand, Aristotle evidently relies on the theory in a number of (...)
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  5.  27
    Review of Marko Malink, Aristotle's Modal Syllogistic[REVIEW]Jacob Rosen - 2014 - Notre Dame Philosophical Reviews.
    Malink’s interpretation is designed to validate Aristotle’s claims of validity and invalidity of syllogistic-style arguments, as well as his conversion claims. The remaining sorts of claims in Aristotle's text are allowed to fall out as they may. Thus, not all of Aristotle’s examples turn out correct: on some occasions, Aristotle claims that a given pair of terms yields a true (false) sentence of a given type although, under Malink’s interpretation, the sentence in question is false (true). Similarly, some of Aristotle’s (...)
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