Location
Brock University
Document Type
Paper
Start Date
15-5-1997 9:00 AM
End Date
17-5-1997 5:00 PM
Abstract
In an enumerative induction we project a property found in all the examined members of a class to a hitherto unexamined member of that class. I consider an unresolved disagreement between Stephen Thomas and John Nolt about how likely the conclusion of one example of such reasoning is, given the premisses. Reflection on their controversy, and on the example, indicates that many textbook commonplaces about enumerative inductions are false. In particular, uniformity of the examined members of a class does not necessarily make it highly likely that the next member will have the target property; this proposition may still be unlikely, or on the other hand be quite definite, depending on our background knowledge. Also, enumerative induction need not rely on any general assumption about the uniformity of nature or the resemblance of the future to the past.
Creative Commons License
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Response to Submission
Roderic Girle, Commentary on Hitchcock
Reader's Reactions
Roderic Girle, Commentary on Hitchcock (May 1997)
Included in
Enumerative Induction
Brock University
In an enumerative induction we project a property found in all the examined members of a class to a hitherto unexamined member of that class. I consider an unresolved disagreement between Stephen Thomas and John Nolt about how likely the conclusion of one example of such reasoning is, given the premisses. Reflection on their controversy, and on the example, indicates that many textbook commonplaces about enumerative inductions are false. In particular, uniformity of the examined members of a class does not necessarily make it highly likely that the next member will have the target property; this proposition may still be unlikely, or on the other hand be quite definite, depending on our background knowledge. Also, enumerative induction need not rely on any general assumption about the uniformity of nature or the resemblance of the future to the past.
