Justification and the growth of error.

It is widely thought that in fallible reasoning potential error necessarily increases with every additional step, whether inferences or premises, in the same way that the probability of a lengthening conjunction shrinks. However, this has the absurd consequence that consulting an expert, proof-check...

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Published in:Philosophical Studies Vol. 165; no. 2; pp. 527 - 552
Main Author: Roush, Sherrilyn
Format: Article
Published: Springer Nature Sep2013
Subjects:
Online Access:View this record in EBSCOhost
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        au: Roush, Sherrilyn
        affil: Department of Philosophy, University of California, Berkeley USA
      su:
        Error
        Justification (Ethics)
        Externalism (Philosophy of mind)
        Internalism (Theory of knowledge)
        Reasoning
      sug:
        subj:
          Error
          Justification (Ethics)
          Externalism (Philosophy of mind)
          Internalism (Theory of knowledge)
          Reasoning
      keyword:
        Connection thesis
        Consulting experts
        Double-checking
        Evidence
        Externalism
        Gap-free proof
        Growth of error
        Internalism
        Justification
        Proof-checking
        Reliability
        Reliability-checking
        Total probability
      ab: It is widely thought that in fallible reasoning potential error necessarily increases with every additional step, whether inferences or premises, in the same way that the probability of a lengthening conjunction shrinks. However, this has the absurd consequence that consulting an expert, proof-checking, filling gaps in proofs, and gathering more evidence for a given conclusion necessarily make us worse off, since they also add more steps. I will argue that the self-help steps listed here are of a distinctive type, involving composition rather than conjunction. Error grows differently over composition than over conjunction, I argue, and this dissolves the apparent paradox.
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    language: English
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