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Single Idea 14096

[filed under theme 5. Theory of Logic / K. Features of Logics / 10. Monotonicity ]

Full Idea

The failure of monotonicity is a general feature of explanatory relations.

Clarification

In 'monotonic' logics, what is proved stays proved

Gist of Idea

Explanations fail to be monotonic

Source

Gideon Rosen (Metaphysical Dependence [2010], 05)

Book Ref

'Modality', ed/tr. Hale,B/Hoffman,A [OUP 2010], p.116


A Reaction

In other words, explanations can always shift in the light of new evidence. In principle this is right, but some explanations just seem permanent, like plate-tectonics as explanation for earthquakes.


The 6 ideas with the same theme [if something is proved, nothing new can unprove it]:

Valid deduction is monotonic - that is, it remains valid if further premises are added [Psillos]
Explanations fail to be monotonic [Rosen]
Most deductive logic (unlike ordinary reasoning) is 'monotonic' - we don't retract after new givens [Wolf,RS]
In classical logic the relation |= has Monotony built into its definition [Antonelli]
Cautious Monotony ignores proved additions; Rational Monotony fails if the addition's negation is proved [Antonelli]
Monotonicity means there is a guarantee, rather than mere inductive support [Rumfitt]