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Full Idea
Unlike deductive arguments, induction is non-monotonic - that is, it can be invalidated by the addition of new premises.
Gist of Idea
Induction (unlike deduction) is non-monotonic - it can be invalidated by new premises
Source
Stathis Psillos (Causation and Explanation [2002], §9.2.1)
Book Ref
Psillos,Stathis: 'Causation and Explanation' [Acumen 2002], p.248
A Reaction
This is a fancy way of stating the obvious, which is that induction is not a type of deduction. Hume is sometimes accused of this false assumption. Presumably induction is rational, even if it is not actually logical.
Related Ideas
Idea 4810 Valid deduction is monotonic - that is, it remains valid if further premises are added [Psillos]
Idea 13525 Most deductive logic (unlike ordinary reasoning) is 'monotonic' - we don't retract after new givens [Wolf,RS]
| 3033 | Induction moves from some truths to similar ones, by contraries or consequents [Diog. Laertius] |
| 6350 | Premises can support an argument without entailing it [Pollock/Cruz on Hume] |
| 3598 | Hume just shows induction isn't deduction [Williams,M on Hume] |
| 13055 | Good induction needs 'total evidence' - the absence at the time of any undermining evidence [Salmon] |
| 3860 | Science cannot be shown to be rational if induction is rejected [Newton-Smith on Popper] |
| 6953 | All reasoning is inductive, and deduction only concerns implication [Harman] |
| 3251 | Observed regularities are only predictable if we assume hidden necessity [Nagel] |
| 16800 | An inductive inference is underdetermined, by definition [Lipton] |
| 16858 | We can argue to support our beliefs, so induction will support induction, for believers in induction [Lipton] |
| 4811 | Induction (unlike deduction) is non-monotonic - it can be invalidated by new premises [Psillos] |
| 4583 | How can an argument be good induction, but poor deduction? [Baggini /Fosl] |
| 14914 | Inductive defences of induction may be rule-circular, but not viciously premise-circular [Ladyman/Ross] |