Jump to content

Yablo's paradox: Difference between revisions

From Wikipedia, the free encyclopedia
Content deleted Content added
Lesath (talk | contribs)
m bold first word
 
(57 intermediate revisions by 40 users not shown)
Line 1: Line 1:
#REDIRECT [[Stephen Yablo#Yablo's paradox]]
'''Yablo's paradox''' is a liar-like paradox without any apparent self-reference published by [[Stephen Yablo]] in 1993.


{{Rcat shell|
== The paradox ==
{{R with Wikidata item}}

{{R from merge|Stephen Yablo}}

{{R with possibilities}}
The paradox arises from considering the following infinite set of sentences:
{{R to section}}

{{R printworthy}}
* (S1): for all k > 1, Sk is false
}}
* (S2): for all k > 2, Sk is false
[[Category:Eponymous paradoxes]]
* (S3): for all k > 3, Sk is false
[[Category:Logical paradoxes]]
* ...
* ...

The set is paradoxical, because it is unsatisfiable (contradictory), but this unsatisfiability defies immediate intuition.

Moreover, none of the sentences refers to itself, but only to the subsequent sentences; this leads Yablo to claim that his paradox does not rely on self-reference.

==External links==
*[http://www.mit.edu/~yablo/pwsr.pdf "Paradox Without Self-Reference"] - ''Analysis'', vol. 53 (1993), pp. 251–52


[[Category:Paradoxes]]

Latest revision as of 01:32, 8 July 2024