2020
DOI: 10.1007/s10670-020-00287-4
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The Hardest Paradox for Closure

Abstract: According to the principle of Conjunction Closure, if one has justification for believing each of a set of propositions, one has justification for believing their conjunction. The lottery and preface paradoxes can both be seen as posing challenges for Closure, but leave open familiar strategies for preserving the principle. While this is all relatively well-trodden ground, a new Closure-challenging paradox has recently emerged, in two somewhat different forms, due to Backes (Synthese 196(9):3773–3787, 2019a) a… Show more

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Cited by 8 publications
(3 citation statements)
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“…He rejects the idea that justification is a matter of minimising risk. See Smith (2016). Our arguments against Differential Defeat do not all assume the risk-minimising picture that Smith rejects.…”
Section: E N D N O T E Smentioning
confidence: 96%
“…He rejects the idea that justification is a matter of minimising risk. See Smith (2016). Our arguments against Differential Defeat do not all assume the risk-minimising picture that Smith rejects.…”
Section: E N D N O T E Smentioning
confidence: 96%
“…Smith rejects (P2). He thinks the testimony defeats the rational support possessed initially when the beliefs are similarly supported (Smith, 2022). In denying this, he might also deny Foley's observation that we can know quite a lot in preface‐type cases even when we know that there's some false belief hiding among the beliefs that initially constituted knowledge, beliefs that he thinks we should now abandon.…”
Section: Preface Problemsmentioning
confidence: 99%
“…For discussions of the conjunction rule in the preface or the lottery, seePraolini (2019),Ryan (1996),Makinson (1965), andSmith (2022).…”
mentioning
confidence: 99%