On some paradoxes of the infinite II

Abstract
In an earlier paper the authors discussed some super-tasks by means of a kinematical interpretation. In the present paper we show a semi-formal way that a more abstract treatment is possible. The core idea of our approach is simple: if a super-task can be considered as a union of (finite) tasks, it is natural to define the effect of the super-task as the union of the effects of the finite tasks it consists of. We show that this approach enables us to handle two of the three super-tasks that we discussed earlier. We also argue that recent objections against our original kinematical interpretation do not hold water. One of our arguments is based on the construction of an elegant correspondence between the first of those three super-tasks and Zeno's Achilles and the Tortois.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/bjps/46.2.235
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,165
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Parts and Differences.Stephen Yablo - 2016 - Philosophical Studies 173 (1):141-157.
The Impossibility of Superfeats.Michael B. Burke - 2000 - Southern Journal of Philosophy 38 (2):207-220.

Add more citations

Similar books and articles
Nagasawa Vs. Nagel: Omnipotence, Pseudo-Tasks, and a Recent Discussion of Nagel's Doubts About Physicalism.Michael Gorman - 2005 - Inquiry : An Interdisciplinary Journal of Philosophy 48 (5):436 – 447.
General Random Sequences and Learnable Sequences.C. P. Schnorr & P. Fuchs - 1977 - Journal of Symbolic Logic 42 (3):329-340.
A Proof of the Impossibility of Completing Infinitely Many Tasks.Jeremy Gwiazda - 2012 - Pacific Philosophical Quarterly 93 (1):1-7.
On Infinite Number and Distance.Jeremy Gwiazda - 2012 - Constructivist Foundations 7 (2):126-130.
Tasks, Super-Tasks, and the Modern Eleatics.Paul Benacerraf - 1962 - Journal of Philosophy 59 (24):765-784.
On Some Paradoxes of the Infinite.Victor Allis & Teunis Koetsier - 1991 - British Journal for the Philosophy of Science 42 (2):187-194.

Monthly downloads

Added to index

2009-01-28

Total downloads

81 ( #64,897 of 2,172,021 )

Recent downloads (6 months)

1 ( #325,967 of 2,172,021 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums