On the Brink of Paradox: Highlights From the Intersection of Philosophy and Mathematics by Agustín Rayo

Author:Agustín Rayo [Rayo, Agustín]
Language: eng
Format: epub
Tags: Logic, General, Paradox; Infinity; Philosophy; Mathematics; Time travel; Gödel; Probability; Computability; Banach-Tarski, Mathematics, Philosophy
ISBN: 9780262039413
Google: nxyNDwAAQBAJ
Publisher: MIT Press
Published: 2019-04-02T00:33:43.070014+00:00

Exercises

1. We have seen that it follows from the Objective-Subjective Connection, and from the fact that 256Sg has a half-life of 8.9 seconds, that if you have no information about the future, you should set your subjective probability that a particle of 256Sg will decay within the next 8.9 seconds at 50%. Suppose, however, that a trusted time traveler comes back from the future and informs you that she has witnessed the fact that the particle does, in fact, decay within the the next 8.9 seconds. What should your subjective probability that the particle will decay within the next 8.9 seconds be?

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