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Full Idea
Monotonicity seems to mark the difference between cases in which a guarantee obtains and those where the premises merely provide inductive support for a conclusion.
Gist of Idea
Monotonicity means there is a guarantee, rather than mere inductive support
Source
Ian Rumfitt (The Boundary Stones of Thought [2015], 2.3)
Book Ref
Rumfitt,Ian: 'The Boundary Stones of Thought' [OUP 2015], p.43
A Reaction
Hence it is plausible to claim that 'non-monotonic logic' is a contradiction in terms.
| 4810 | Valid deduction is monotonic - that is, it remains valid if further premises are added [Psillos] |
| 14096 | Explanations fail to be monotonic [Rosen] |
| 13525 | Most deductive logic (unlike ordinary reasoning) is 'monotonic' - we don't retract after new givens [Wolf,RS] |
| 19110 | In classical logic the relation |= has Monotony built into its definition [Antonelli] |
| 19112 | Cautious Monotony ignores proved additions; Rational Monotony fails if the addition's negation is proved [Antonelli] |
| 18807 | Monotonicity means there is a guarantee, rather than mere inductive support [Rumfitt] |