12 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] |
19743 | A notebook counts as memory, if is available to consciousness and guides our actions [Clark/Chalmers] |
6176 | A mechanism can count as 'cognitive' whether it is in the brain or outside it [Clark/Chalmers, by Rowlands] |
19741 | If something in the world could equally have been a mental process, it is part of our cognition [Clark/Chalmers] |
19742 | Consciousness may not extend beyond the head, but cognition need not be conscious [Clark/Chalmers] |
19744 | If a person relies on their notes, those notes are parted of the extended system which is the person [Clark/Chalmers] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |