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Justification by Infinite Loops

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Samenvatting

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.

Originele taal-2English
Pagina's (van-tot)407 - 416
Aantal pagina's10
TijdschriftNotre Dame Journal of Formal Logic
Volume51
Nummer van het tijdschrift4
DOI's
StatusPublished - 2010

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