David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
``No one has ever touched Zeno without refuting him''. We will not refute Zeno in this paper. Instead we review some unexpected encounters of Zeno with modern science. The paper begins with a brief biography of Zeno of Elea followed by his famous paradoxes of motion. Reflections on continuity of space and time lead us to Banach and Tarski and to their celebrated paradox, which is in fact not a paradox at all but a strict mathematical theorem, although very counterintuitive. Quantum mechanics brings another flavour in Zeno paradoxes. Quantum Zeno and anti-Zeno effects are really paradoxical but now experimental facts. Then we discuss supertasks and bifurcated supertasks. The concept of localization leads us to Newton and Wigner and to interesting phenomenon of quantum revivals. At last we note that the paradoxical idea of timeless universe, defended by Zeno and Parmenides at ancient times, is still alive in quantum gravity. The list of references that follows is necessarily incomplete but we hope it will assist interested reader to fill in details.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Adolf Grünbaum (1967). Zeno's Metrical Paradox of Extension. In Wesley C. Salmon (ed.), Zeno’s Paradoxes. Bobbs-Merrill. 176--199.
Wesley C. Salmon (ed.) (1970). Zeno's Paradoxes. Bobbs-Merrill.
Alba Papa-Grimaldi (1996). Why Mathematical Solutions of Zeno's Paradoxes Miss the Point: Zeno's One and Many Relation and Parmenides' Prohibition. Review of Metaphysics 50 (2):299 - 314.
Phil Hopkins (2006). Zeno's Boêtheia Tôi Logôi. Epoché: A Journal for the History of Philosophy 11 (1):1-25.
Nicholas Huggett (forthcoming). Zeno's Paradoxes. The Stanford Encyclopedia of Philosophy, Edward N. Zalta (Ed.).
Adolf Grünbaum (1970). Modern Science and Zeno's Paradoxes of Motion. In Wesley C. Salmon (ed.), Zeno’s Paradoxes. Bobbs-Merrill. 200--250.
Adolf Grünbaum (1955). Modern Science and the Refutation of the Paradoxes of Zeno. In Wesley C. Salmon (ed.), Zeno’s Paradoxes. Bobbs-Merrill. 164--175.
Peter Lynds (forthcoming). Zeno's Paradoxes: A Timely Solution. PhilSci Archive.
David M. Sherry (1988). Zeno's Metrical Paradox Revisited. Philosophy of Science 55 (1):58-73.
Added to index2009-01-28
Total downloads30 ( #55,499 of 1,096,588 )
Recent downloads (6 months)1 ( #258,571 of 1,096,588 )
How can I increase my downloads?