Justification by Infinite Loops
Atkinson, David ; Peijnenburg, Jeanne
Notre Dame J. Formal Logic, Tome 51 (2010) no. 1, p. 407-416 / Harvested from Project Euclid
In an earlier paper we have shown that a proposition can have a well-defined probability value, even if its justification consists of an infinite linear chain. In the present paper we demonstrate that the same holds if the justification takes the form of a closed loop. Moreover, in the limit that the size of the loop tends to infinity, the probability value of the justified proposition is always well-defined, whereas this is not always so for the infinite linear chain. This suggests that infinitism sits more comfortably with a coherentist view of justification than with an approach in which justification is portrayed as a linear process.
Publié le : 2010-10-15
Classification:  probabilistic justification,  coherentism,  infinitism,  60A99
@article{1285765795,
     author = {Atkinson, David and Peijnenburg, Jeanne},
     title = {Justification by Infinite Loops},
     journal = {Notre Dame J. Formal Logic},
     volume = {51},
     number = {1},
     year = {2010},
     pages = { 407-416},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285765795}
}
Atkinson, David; Peijnenburg, Jeanne. Justification by Infinite Loops. Notre Dame J. Formal Logic, Tome 51 (2010) no. 1, pp.  407-416. http://gdmltest.u-ga.fr/item/1285765795/