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Why Countable Additivity?
Thought: A Journal of Philosophy 2 (1):53-61 (2013)
Abstract
It is sometimes alleged that arguments that probability functions should be countably additive show too much, and that they motivate uncountable additivity as well. I show this is false by giving two naturally motivated arguments for countable additivity that do not motivate uncountable additivityAuthor's Profile
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Citations of this work
Conditional Probabilities.Kenny Easwaran - 2019 - In Richard Pettigrew & Jonathan Weisberg (eds.), The Open Handbook of Formal Epistemology. PhilPapers Foundation. pp. 131-198.
Chance and the Continuum Hypothesis.Daniel Hoek - 2021 - Philosophy and Phenomenological Research 103 (3):639-60.
References found in this work
Countable additivity and subjective probability.Jon Williamson - 1999 - British Journal for the Philosophy of Science 50 (3):401-416.
Infinitesimals are too small for countably infinite fair lotteries.Alexander R. Pruss - 2014 - Synthese 191 (6):1051-1057.
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