21 ideas
1815 | Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius] |
1812 | All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius] |
1811 | Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius] |
1813 | All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius] |
8921 | Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman] |
8698 | Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend] |
9557 | Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara] |
10263 | Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman] |
8922 | Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman] |
19284 | Asserting a necessity just expresses our inability to imagine it is false [Blackburn] |
14629 | If we are told the source of necessity, this seems to be a regress if the source is not already necessary [Blackburn] |
14529 | If something underlies a necessity, is that underlying thing necessary or contingent? [Blackburn, by Hale/Hoffmann,A] |
6451 | Visual sense data are an inner picture show which represents the world [Blackburn] |
8850 | Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M] |
2866 | A true belief might be based on a generally reliable process that failed on this occasion [Blackburn] |
1814 | Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius] |
23996 | Akrasia is intelligible in hindsight, when we revisit our previous emotions [Blackburn] |
11911 | Some philosophers always want more from morality; for others, nature is enough [Blackburn] |
2864 | The main objection to intuitionism in ethics is that intuition is a disguise for prejudice or emotion [Blackburn] |
2865 | Critics of prescriptivism observe that it is consistent to accept an ethical verdict but refuse to be bound by it [Blackburn] |
23223 | The word 'respect' ranges from mere non-interference to the highest levels of reverence [Blackburn] |