Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Barcan Formula and Metaphysics' and 'Two Notions of Being: Entity and Essence'

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16 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
13917 Metaphysics aims to identify categories of being, and show their interdependency [Lowe]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
13919 Philosophy aims not at the 'analysis of concepts', but at understanding the essences of things [Lowe]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
16186 The Barcan Formulas express how to combine modal operators with classical quantifiers [Simchen]
16187 The Barcan Formulas are orthodox, but clash with the attractive Actualist view [Simchen]
16190 BF implies that if W possibly had a child, then something is possibly W's child [Simchen]
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 / 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]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
13918 Holes, shadows and spots of light can coincide without being identical [Lowe]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
13921 All things must have an essence (a 'what it is'), or we would be unable to think about them [Lowe]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
13922 Knowing an essence is just knowing what the thing is, not knowing some further thing [Lowe]
9. Objects / F. Identity among Objects / 4. Type Identity
13920 Each thing has to be of a general kind, because it belongs to some category [Lowe]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
16188 Serious Actualism says there are no facts at all about something which doesn't exist [Simchen]