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Synthese, ISSN 0039-7857, 3/2014, Volume 191, Issue 5, pp. 989 - 1012
Journal Article
The Journal of chemical physics, ISSN 0021-9606, 12/2014, Volume 141, Issue 24, p. 244305
Journal Article
Philosophical Studies: An International Journal for Philosophy in the Analytic Tradition, ISSN 0031-8116, 4/2014, Volume 168, Issue 3, pp. 619 - 628
This paper proves that certain supertasks constitute counterexamples to countable additivity even in the frame of an objective (not subjective, à la de... 
Integers | Ambivalence | Conditional probabilities | Infinity | Reasoning | Sigma additivity | Lotteries | Paradoxes | Probabilities | Ethics | Philosophy of Language | Countable additivity | Epistemology | Probability | Philosophy of Mind | Metaphysics | Supertasks | Philosophy | LOTTERY | PHILOSOPHY
Journal Article
Philosophical Review, ISSN 0031-8108, 2010, Volume 119, Issue 4, pp. 411 - 447
This essay argues that there is a conflict between the principle of Countable Additivity and standard views of how we should update centered or beliefs. The... 
Theory and Philosophy | Logic | Mathematics | Beauty | Integers | Betting | Ambivalence | Bookmaking | Logical givens | Philosophical analysis | Dutch book argument | Information relevance | Sigma additivity | ODDS | PROBABILITY | SELF-LOCATING BELIEF | EVIL | PHILOSOPHY | FINETTI | Rationalism | Additive functions | Usage | Analysis | Geometric probabilities | Probabilities | Combinatorial probabilities
Journal Article
Philosophical Studies: An International Journal for Philosophy in the Analytic Tradition, ISSN 0031-8116, 12/2012, Volume 161, Issue 3, pp. 381 - 390
This paper defends the claim that there is a deep tension between the principle of countable additivity and the one-third solution to the Sleeping Beauty... 
Beauty | Integers | Ambivalence | Memory interference | Travelers | Information relevance | Sigma additivity | Relevant alternatives | Objective beauty | Truth | Ethics | Philosophy of Language | Countable additivity | Epistemology | Sleeping Beauty problem | Indifference principles | Brian Weatherson | Metaphysics | Philosophy of Mind | Self-locating belief | Philosophy | PHILOSOPHY | Belief & doubt
Journal Article
The British Journal for the Philosophy of Science, ISSN 0007-0882, 3/2008, Volume 59, Issue 1, pp. 1 - 23
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... 
Additivity | Betting | Probability distributions | Axioms | Dutch book argument | Sigma additivity | Finite sums | Kolmogorovs axioms | Lotteries | Probabilities | HISTORY & PHILOSOPHY OF SCIENCE | PROBABILITY
Journal Article
The British Journal for the Philosophy of Science, ISSN 0007-0882, 9/1999, Volume 50, Issue 3, pp. 401 - 416
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... 
Uniforms | Betting | Probability distributions | Axioms | Dutch book argument | Sigma additivity | Philosophical axioms | Paradoxes | Uniformity | Probabilities | PRIORS | HISTORY & PHILOSOPHY OF SCIENCE | Probabilistic number theory | Research
Journal Article
The British Journal for the Philosophy of Science, ISSN 0007-0882, 6/2004, Volume 55, Issue 2, pp. 301 - 321
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... 
Integers | Betting | Probability distributions | Quotients | Dutch book argument | Sigma additivity | Lotteries | Philosophical axioms | Paradoxes | Probabilities | HISTORY & PHILOSOPHY OF SCIENCE | PROBABILITY | Evaluation | Usage | Empiricism | Combinatorial probabilities
Journal Article
Philosophical Studies: An International Journal for Philosophy in the Analytic Tradition, ISSN 0031-8116, 3/2013, Volume 163, Issue 2, pp. 503 - 512
In two excellent recent papers, Jacob Ross has argued that the standard arguments for the 'thirder' answer to the Sleeping Beauty puzzle lead to violations of... 
Sigma additivity | Equivocation | Metaphysics | Inadmissible evidence | Fregean content | Eschatology | Ethics | Philosophy of Language | Countable additivity | Epistemology | Philosophy of Mind | Sleeping beauty | Ross | Philosophy | PHILOSOPHY | Personal appearance | Probability | Generalization
Journal Article
Annals of Pure and Applied Logic, ISSN 0168-0072, 04/2020, Volume 171, Issue 4, p. 102755
We study propositional probabilistic logics (LPP–logics) with probability operators of the form P≥r (“the probability is at least r”) with σ–additive... 
Probability logic | Completeness | Sigma-additivity
Journal Article
International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, ISSN 0218-4885, 12/2015, Volume 23, pp. 57 - 74
Generalizing a first approach by L. A. Zadeh (J. Math. Anal. Appl. 23, 1968), expected values of fuzzy events are studied which are (up to standard boundary... 
Expected value | universal integral | fuzzy event | Choquet integral | capacity | Sugeno integral | CHOQUET | PROBABILITY-MEASURES | REPRESENTATION | SIGMA-ALGEBRAS | TRIANGULAR NORMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | INTEGRALS | ADDITIVITY
Journal Article
Economic Theory, ISSN 0938-2259, 11/2005, Volume 26, Issue 4, pp. 973 - 982
Journal Article
Real Analysis Exchange, ISSN 0147-1937, 7/2017, Volume 42, Issue 2, pp. 385 - 390
Can a positive function on R have zero Lebesgue integral? It depends on how much choice one has. Mathematical Reviews subject classification: Primary: 03E25;... 
Mathematical set theory | Measure theory | Musical intervals | Riemann integrals | Mathematical integrals | Lebesgue measures | Sigma additivity | Mathematical functions | Research Articles | Null set | Axiom of choice | Zermelo-Fraenkel theory | Feferman-Levy model | Lebesgue integral
Journal Article
Journal of Philosophical Logic, ISSN 0022-3611, 2/2005, Volume 34, Issue 1, pp. 97 - 119
Journal Article
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