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Throwing Darts, Time, and the Infinite

Jeremy Gwiazda

Erkenntnis 78 (5):971-975 (2013)

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Picturing the Infinite.Jeremy Gwiazda - manuscriptdetails The purpose of this note is to contrast a Cantorian outlook with a non-Cantorian one and to present a picture that provides support for the latter. In particular, I suggest that: i) infinite hyperreal numbers are the (actual, determined) infinite numbers, ii) ω is merely potentially infinite, and iii) infinitesimals should not be used in the di Finetti lottery. Though most Cantorians will likely maintain a Cantorian outlook, the picture is meant to motivate the obvious nature of the non-Cantorian outlook. Download Export citation Bookmark 1 citation
On Multiverses and Infinite Numbers.Jeremy Gwiazda - 2014 - In Klaas J. Kraay (ed.), God and the Multiverse: Scientific, Philosophical, and Theological Perspectives. New York: Routledge. pp. 162-173.details A multiverse is comprised of many universes, which quickly leads to the question: How many universes? There are either finitely many or infinitely many universes. The purpose of this paper is to discuss two conceptions of infinite number and their relationship to multiverses. The first conception is the standard Cantorian view. But recent work has suggested a second conception of infinite number, on which infinite numbers behave very much like finite numbers. I will argue that that this second conception of (...) Download Export citation Bookmark 1 citation

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