11 ideas
| 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] |
| 4581 | Virtues and vices are like secondary qualities in perception, found in observers, not objects [Hume] |
| 4580 | All virtues benefit either the public, or the individual who possesses them [Hume] |
| 4579 | The idea of a final cause is very uncertain and unphilosophical [Hume] |
| 20705 | That events could be uncaused is absurd; I only say intuition and demonstration don't show this [Hume] |
| 16697 | Time is independent of motion, because God could stop everything for a short or long time [Crathorn, by Pasnau] |