Journal
PHILOSOPHICAL STUDIES
Volume 141, Issue 2, Pages 157-173Publisher
SPRINGER
DOI: 10.1007/s11098-007-9157-1
Keywords
closure; knowledge; deduction
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It is tempting to think that multi premise closure creates a special class of paradoxes having to do with the accumulation of risks, and that these paradoxes could be escaped by rejecting the principle, while still retaining single premise closure. I argue that single premise deduction is also susceptible to risks. I show that what I take to be the strongest argument for rejecting multi premise closure is also an argument for rejecting single premise closure. Because of the symmetry between the principles, they come as a package: either both will have to be rejected or both will have to be revised.
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