13 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] |
8851 | Coherentists say that regress problems are assuming 'linear' justification [Williams,M] |
19518 | Evidentialism says justifications supervene on the available evidence [Conee/Feldman] |
8849 | Traditional foundationalism is radically internalist [Williams,M] |
8853 | Basic judgements are immune from error because they have no content [Williams,M] |
8855 | Sensory experience may be fixed, but it can still be misdescribed [Williams,M] |
8852 | In the context of scepticism, externalism does not seem to be an option [Williams,M] |
19519 | Rational decisions are either taken to be based on evidence, or to be explained causally [Conee/Feldman] |