32 ideas
1606 | You have to be a Platonist to debate about reality, so every philosopher is a Platonist [Roochnik] |
1595 | Philosophy aims to satisfy the chief human desire - the articulation of beauty itself [Roochnik] |
1572 | In the seventeenth century the only acceptable form of logos was technical knowledge [Roochnik] |
1603 | Logos is not unconditionally good, but good if there is another person willing to engage with it [Roochnik] |
1573 | The hallmark of a person with logos is that they give reasons why one opinion is superior to another [Roochnik] |
1593 | Human desire has an ordered structure, with logos at the pinnacle [Roochnik] |
1571 | 'Logos' ranges from thought/reasoning, to words, to rational structures outside thought [Roochnik] |
1592 | Logos cannot refute the relativist, and so must admit that it too is a matter of desire (for truth and agreement) [Roochnik] |
1598 | We prefer reason or poetry according to whether basics are intelligible or not [Roochnik] |
1584 | Modern science, by aiming for clarity about the external world, has abandoned rationality in the human world [Roochnik] |
1591 | Unfortunately for reason, argument can't be used to establish the value of argument [Roochnik] |
1599 | Attempts to suspend all presuppositions are hopeless, because a common ground must be agreed for the process [Roochnik] |
10633 | 'Some critics admire only one another' cannot be paraphrased in singular first-order [Linnebo] |
17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
10638 | A pure logic is wholly general, purely formal, and directly known [Linnebo] |
10635 | Second-order quantification and plural quantification are different [Linnebo] |
10641 | Traditionally we eliminate plurals by quantifying over sets [Linnebo] |
10640 | Instead of complex objects like tables, plurally quantify over mereological atoms tablewise [Linnebo] |
10636 | Plural plurals are unnatural and need a first-level ontology [Linnebo] |
10639 | Plural quantification may allow a monadic second-order theory with first-order ontology [Linnebo] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
1605 | Reality can be viewed neutrally, or as an object of desire [Roochnik] |
10643 | We speak of a theory's 'ideological commitments' as well as its 'ontological commitments' [Linnebo] |
10637 | Ordinary speakers posit objects without concern for ontology [Linnebo] |
1577 | Relativism is a disease which destroys the possibility of rational debate [Roochnik] |
10634 | Predicates are 'distributive' or 'non-distributive'; do individuals do what the group does? [Linnebo] |
1596 | Reasoning aims not at the understanding of objects, but at the desire to give beautiful speeches [Roochnik] |
1578 | If relativism is the correct account of human values, then rhetoric is more important than reasoning [Roochnik] |