Combining Texts

All the ideas for 'works', 'Grundlagen (Foundations of Theory of Manifolds)' and 'An Argument for the Identity Theory'

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


5 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
Experiences are defined by their causal role, and causal roles belong to physical states [Lewis]
'Pain' contingently names the state that occupies the causal role of pain [Lewis]