Ideas from 'Non-Monotonic Logic' by G. Aldo Antonelli [2014], by Theme Structure

[found in 'Stanford Online Encyclopaedia of Philosophy' (ed/tr Stanford University) [ ,-]].

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2. Reason / E. Argument / 1. Argument
You can 'rebut' an argument's conclusion, or 'undercut' its premises
4. Formal Logic / E. Nonclassical Logics / 1. Nonclassical Logics
We infer that other objects are like some exceptional object, if they share some of its properties
4. Formal Logic / E. Nonclassical Logics / 12. Non-Monotonic Logic
Reasoning may be defeated by new premises, or by finding out more about the given ones
Weakest Link Principle: prefer the argument whose weakest link is the stronger
Should we accept Floating Conclusions, derived from two arguments in conflict?
People don't actually use classical logic, but may actually use non-monotonic logic
Non-monotonic core: Reflexivity, Cut, Cautious Monotonicity, Left Logical Equivalence, Right Weakening
We can rank a formula by the level of surprise if it were to hold
5. Theory of Logic / K. Features of Logics / 10. Monotonicity
In classical logic the relation |= has Monotony built into its definition
Cautious Monotony ignores proved additions; Rational Monotony fails if the addition's negation is proved