Topology from triviality
نویسندگان
چکیده
منابع مشابه
Triviality Pursuit
The thesis that probabilities of conditionals are conditional probabilities has putatively been refuted many times by so-called ‘triviality results’, although it has also enjoyed a number of resurrections. In this paper I assault it yet again with a new such result. I begin by motivating the thesis and discussing some of the philosophical ramifications of its fluctuating fortunes. I will canvas...
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We study the connection between Schnorr triviality and genericity. We show that while no 2-generic is Turing equivalent to a Schnorr trivial and no 1-generic is tt-equivalent to a Schnorr trivial, there is a 1-generic that is Turing equivalent to a Schnorr trivial. However, every such 1-generic must be high. As a corollary, we prove that not all K-trivials are Schnorr trivial. We also use these...
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Many philosophers accept the following three theses: (1) that probability is amodal concept; (2) that, if determinism is true, therewould still be objective modal facts; and (3) that if determinism is true, there are no genuine objective probabilities (chances). I argue that these 3 claims are inconsistent, and that their widespread acceptance is thus quite troubling. I suggest, as others have,...
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We have three goals in this paper. In Sections 1–3, we generalize Lewis’s results to apply to a wide variety of other principles that have a similar flavor—principles about epistemic “might”, probability claims, and claims about comparative value, including the last two in the list above. In Sections 4–5, we show how to streamline these arguments in a more minimalistic framework, which doesn’t ...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2018
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.97.104512