Combining Texts

All the ideas for 'Explanation in Mathematics', 'Possible Worlds' and 'Philosophy of Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts

8 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
7. Existence / A. Nature of Existence / 2. Types of Existence
15789 Lewis's distinction of 'existing' from 'being actual' is Meinong's between 'existing' and 'subsisting' [Lycan on Lewis]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
13166 Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
15790 Lewis can't know possible worlds without first knowing what is possible or impossible [Lycan on Lewis]
15791 What are the ontological grounds for grouping possibilia into worlds? [Lycan on Lewis]