Throwing Darts, Time, and the Infinite

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

Abstract

In this paper, I present a puzzle involving special relativity and the random selection of real numbers. In a manner to be specified, darts thrown later hit reals further into a fixed well-ordering than darts thrown earlier. Special relativity is then invoked to create a puzzle. I consider four ways of responding to this puzzle which, I suggest, fail. I then propose a resolution to the puzzle, which relies on the distinction between the potential infinite and the actual infinite. I suggest that certain structures, such as a well-ordering of the reals, or the natural numbers, are examples of the potential infinite, whereas infinite integers in a nonstandard model of arithmetic are examples of the actual infinite

Similar books and articles

On Infinite Number and Distance.Jeremy Gwiazda - 2012 - Constructivist Foundations 7 (2):126-130.
Infinite chains and antichains in computable partial orderings.E. Herrmann - 2001 - Journal of Symbolic Logic 66 (2):923-934.
Axioms of symmetry: Throwing darts at the real number line.Chris Freiling - 1986 - Journal of Symbolic Logic 51 (1):190-200.
Logic Semantics with the Potential Infinite.Theodore Hailperin - 2010 - History and Philosophy of Logic 31 (2):145-159.
A Flawed Infinite Decision Puzzle.Myron L. Pulier - 2000 - Theory and Decision 49 (3):289-290.
Traversing the Infinite and Proving the Existence of God.Miłosz Pawłowski - 2007 - Forum Philosophicum: International Journal for Philosophy 12 (1):17 - 31.
Originless Sin: Rational Dilemmas for Satisficers.Roy Sorensen - 2006 - Philosophical Quarterly 56 (223):213 - 223.

Analytics

Added to PP
2012-03-24

Downloads
822 (#9,923)

6 months
69 (#16,987)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

On Multiverses and Infinite Numbers.Jeremy Gwiazda - 2014 - In Klaas Kraay (ed.), God and the Multiverse. Routledge. pp. 162-173.

Add more citations

References found in this work

Cantorian Set Theory and Limitation of Size.Michael Hallett - 1984 - Oxford, England: Clarendon Press.
The Infinite.Adrian W. Moore - 1990 - New York: Routledge.
Tasks and Supertasks.James Thomson - 1954 - Analysis 15 (1):1--13.
On thought experiments: Is there more to the argument?John D. Norton - 2004 - Philosophy of Science 71 (5):1139-1151.

View all 16 references / Add more references