The Infinite
Edited by Erich Reck (University of California, Riverside)
About this topic
Summary | The infinite has been an important topic in many branches of philosophy (and neighboring disciplines), including metaphysics, epistemology, the philosophy of physics, the philosophy of religion, and ethics. But since at least the 19th century, when B. Bolzano, G. Cantor, R. Dedekind, and others made crucial contributions, the most central discussions about the infinite have taken place in the philosophy of mathematics and logic. For a rich, historically grounded, but also opinionated introduction, see A.W. Moore, The Infinite (2nd edition, Routledge, 2001). Many classic articles on the topic are contained in A.W. Moore, ed., Infinity (International Research Library of Philosophy, Dartmouth, 1993). For a more basic introduction, see P. Zellini's A Brief History of Infinity (Penguin, 2004), and on the mathematical side, I. Stewart's Infinity. A Very Short Introduction (Oxford University Press, 2017) and E. Cheng's Beyond Infinity (Basic Books, 2017). Finally, for advanced logico-mathematical aspects, see A. Kanamori, The Higher Infinite (2nd ed., Springer, 1994). |
Key works | Potential infinity, actual infinity, infinitesimals, paradoxes, the transfinite, set theory, cardinal numbers, ordinal numbers, space, time. |
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Editorial team
General Editors:
David Bourget (Western Ontario) David Chalmers (ANU, NYU) Area Editors: David Bourget Gwen Bradford Berit Brogaard Margaret Cameron David Chalmers James Chase Rafael De Clercq Ezio Di Nucci Esa Diaz-Leon Barry Hallen Hans Halvorson Jonathan Ichikawa Michelle Kosch Øystein Linnebo JeeLoo Liu Paul Livingston Brandon Look Manolo Martínez Matthew McGrath Michiru Nagatsu Susana Nuccetelli Giuseppe Primiero Jack Alan Reynolds Darrell P. Rowbottom Aleksandra Samonek Constantine Sandis Howard Sankey Jonathan Schaffer Thomas Senor Robin Smith Daniel Star Jussi Suikkanen Aness Kim Webster Other editors Contact us Learn more about PhilPapers |