Combining Texts

All the ideas for 'Persistence, Change and Explanation', 'On Platonism in Mathematics' and 'Non-Monotonic Logic'

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21 ideas

2. Reason / E. Argument / 1. Argument
19115 You can 'rebut' an argument's conclusion, or 'undercut' its premises [Antonelli]
4. Formal Logic / E. Nonclassical Logics / 1. Nonclassical Logics
19119 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
19111 Reasoning may be defeated by new premises, or by finding out more about the given ones [Antonelli]
19114 Should we accept Floating Conclusions, derived from two arguments in conflict? [Antonelli]
19113 Weakest Link Principle: prefer the argument whose weakest link is the stronger [Antonelli]
19116 Non-monotonic core: Reflexivity, Cut, Cautious Monotonicity, Left Logical Equivalence, Right Weakening [Antonelli]
19117 We can rank a formula by the level of surprise if it were to hold [Antonelli]
19118 People don't actually use classical logic, but may actually use non-monotonic logic [Antonelli]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
10304 Very few things in set theory remain valid in intuitionist mathematics [Bernays]
5. Theory of Logic / K. Features of Logics / 10. Monotonicity
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]
5. Theory of Logic / L. Paradox / 2. Aporiai
13931 By using aporiai as his start, Aristotle can defer to the wise, as well as to the many [Haslanger]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10303 Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
10306 Mathematical abstraction just goes in a different direction from logic [Bernays]
7. Existence / D. Theories of Reality / 1. Ontologies
13925 Ontology disputes rest on more basic explanation disputes [Haslanger]
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
13924 The persistence of objects seems to be needed if the past is to explain the present [Haslanger]
13930 Persistence makes change and its products intelligible [Haslanger]
9. Objects / E. Objects over Time / 5. Temporal Parts
13927 We must explain change amongst 'momentary entities', or else the world is inexplicable [Haslanger]
13928 If the things which exist prior to now are totally distinct, they need not have existed [Haslanger]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
13929 Natural explanations give the causal interconnections [Haslanger]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
13926 Best explanations, especially natural ones, need grounding, notably by persistent objects [Haslanger]