Combining Texts

All the ideas for 'Space and Time', 'Review of Chihara 'Struct. Accnt of Maths'' and 'Sentences'

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8 ideas

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10185 Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10184 Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
10189 There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
10186 If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
10187 Abstract algebra concerns relations between models, not common features of all the models [Burgess]
10188 How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
27. Natural Reality / C. Space / 6. Space-Time
14014 Space alone, and time alone, will fade away, and only their union has an independent reality [Minkowski]
27. Natural Reality / D. Time / 1. Nature of Time / e. Eventless time
16697 Time is independent of motion, because God could stop everything for a short or long time [Crathorn, by Pasnau]