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?
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
People don't actually use classical logic, but may actually use non-monotonic logic
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