Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Causation and Laws of Nature' and 'Causal and Metaphysical Necessity'

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24 ideas

1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
14600 Analysis aims at secure necessary and sufficient conditions [Schaffer,J]
2. Reason / F. Fallacies / 1. Fallacy
14603 'Reification' occurs if we mistake a concept for a thing [Schaffer,J]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / d. System T
14607 T adds □p→p for reflexivity, and is ideal for modeling lawhood [Schaffer,J]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
15091 Restrict 'logical truth' to formal logic, rather than including analytic and metaphysical truths [Shoemaker]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
14604 If a notion is ontologically basic, it should be needed in our best attempt at science [Schaffer,J]
7. Existence / C. Structure of Existence / 2. Reduction
14599 Three types of reduction: Theoretical (of terms), Definitional (of concepts), Ontological (of reality) [Schaffer,J]
8. Modes of Existence / B. Properties / 1. Nature of Properties
15095 A property's causal features are essential, and only they fix its identity [Shoemaker]
15097 I claim that a property has its causal features in all possible worlds [Shoemaker]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
14605 Tropes are the same as events [Schaffer,J]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
15094 I now deny that properties are cluster of powers, and take causal properties as basic [Shoemaker]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
14601 Individuation aims to count entities, by saying when there is one [Schaffer,J]
10. Modality / A. Necessity / 5. Metaphysical Necessity
15099 If something is possible, but not nomologically possible, we need metaphysical possibility [Shoemaker]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
15101 Once you give up necessity as a priori, causal necessity becomes the main type of necessity [Shoemaker]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
15098 Empirical evidence shows that imagining a phenomenon can show it is possible [Shoemaker]
15100 Imagination reveals conceptual possibility, where descriptions avoid contradiction or incoherence [Shoemaker]
14606 Only ideal conceivability could indicate what is possible [Schaffer,J]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
15096 'Grue' only has causal features because of its relation to green [Shoemaker]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
15093 We might say laws are necessary by combining causal properties with Armstrong-Dretske-Tooley laws [Shoemaker]