17 ideas
| 7548 | Classes, grouped by a convenient property, are logical constructions [Russell] |
| 10185 | Set theory is the standard background for modern mathematics [Burgess] |
| 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] |
| 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] |
| 7545 | Visible things are physical and external, but only exist when viewed [Russell] |
| 7553 | Sense-data are purely physical [Russell] |
| 7549 | If my body literally lost its mind, the object seen when I see a flash would still exist [Russell] |
| 7546 | A man is a succession of momentary men, bound by continuity and causation [Russell] |
| 7550 | We could probably, in principle, infer minds from brains, and brains from minds [Russell] |
| 12719 | Clearly, force is that from which action follows, when unimpeded [Leibniz] |
| 7551 | Matter is a logical construction [Russell] |
| 7547 | Matter requires a division into time-corpuscles as well as space-corpuscles [Russell] |
| 7552 | Six dimensions are needed for a particular, three within its own space, and three to locate that space [Russell] |
| 12720 | Time doesn't exist, since its parts don't coexist [Leibniz] |