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All the ideas for 'Philosophy of Mathematics', 'Non-Monotonic Logic' and 'Philosophical Naturalism'

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22 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
2. Reason / E. Argument / 1. Argument
You can 'rebut' an argument's conclusion, or 'undercut' its premises [Antonelli]
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 [Antonelli]
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 [Antonelli]
Should we accept Floating Conclusions, derived from two arguments in conflict? [Antonelli]
Weakest Link Principle: prefer the argument whose weakest link is the stronger [Antonelli]
Non-monotonic core: Reflexivity, Cut, Cautious Monotonicity, Left Logical Equivalence, Right Weakening [Antonelli]
We can rank a formula by the level of surprise if it were to hold [Antonelli]
People don't actually use classical logic, but may actually use non-monotonic logic [Antonelli]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
5. Theory of Logic / K. Features of Logics / 10. Monotonicity
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]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
7. Existence / D. Theories of Reality / 5. Naturalism
Externalism may be the key idea in philosophical naturalism [Papineau]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
How does a dualist mind represent, exist outside space, and be transparent to itself? [Papineau]
17. Mind and Body / C. Functionalism / 8. Functionalism critique
Functionalism needs causation and intentionality to explain actions [Papineau]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Epiphenomenalism is supervenience without physicalism [Papineau]
Supervenience requires all mental events to have physical effects [Papineau]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Knowing what it is like to be something only involves being (physically) that thing [Papineau]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
If a mental state is multiply realisable, why does it lead to similar behaviour? [Papineau]
19. Language / F. Communication / 4. Private Language
The Private Language argument only means people may misjudge their experiences [Papineau]