Countable additivity, idealization, and conceptual realism
نویسندگان
چکیده
منابع مشابه
Countable Additivity and Subjective Probability
While there are several arguments on either side, it is far from clear as to whether or not countable additivity is an acceptable axiom of subjective probability. I focus here on de Finetti’s central argument against countable additivity and provide a new Dutch book proof of the principle, to argue that if we accept the Dutch book foundations of subjective probability, countable additivity is a...
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De Finetti would claim that we can make sense of a draw in which each positive integer has equal probability of winning. This requires a uniform probability distribution over the natural numbers, violating countable additivity. Countable additivity thus appears not to be a fundamental constraint on subjective probability. It does, however, seem mandated by Dutch Book arguments similar to those ...
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Currently, the most popular views about how to update de se or self-locating beliefs entail the one-third solution to the Sleeping Beauty problem. 2 Another widely held view is that an agent‘s credences should be countably additive. 3 In what follows, I will argue that there is a deep tension between these two positions. For the assumptions that underlie the one-third solution to the Sleeping B...
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Many people believe that there is a Dutch Book argument establishing that the principle of countable additivity is a condition of coherence. De Finetti himself did not, but for reasons that are at first sight perplexing. I show that he rejected countable additivity, and hence the Dutch Book argument for it, because countable additivity conflicted with intuitive principles about the scope of aut...
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0747-5632/$ see front matter 2011 Elsevier Ltd. A doi:10.1016/j.chb.2011.05.011 ⇑ Corresponding author. Address: The P.R.O.S.E. University, 1 LMU Drive, Suite 4700, Los Angeles, CA E-mail address: [email protected] (R.L. Gilbe One hundred and ninety-nine participants, each of whom was currently involved in an intimate relationship within the 3D virtual world of Second Life, completed meas...
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ژورنال
عنوان ژورنال: Economics and Philosophy
سال: 2019
ISSN: 0266-2671,1474-0028
DOI: 10.1017/s0266267118000536