16 ideas
| 22138 | Science rests on scholastic metaphysics, not on Hume, Kant or Carnap [Boulter] |
| 14249 | Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley] |
| 10830 | Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos] |
| 10829 | A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos] |
| 10832 | '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos] |
| 10834 | Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos] |
| 13841 | Why should compactness be definitive of logic? [Boolos, by Hacking] |
| 10833 | Many concepts can only be expressed by second-order logic [Boolos] |
| 22134 | Thoughts are general, but the world isn't, so how can we think accurately? [Boulter] |
| 22150 | Logical possibility needs the concepts of the proposition to be adequate [Boulter] |
| 22139 | Experiments don't just observe; they look to see what interventions change the natural order [Boulter] |
| 22136 | Science begins with sufficient reason, de-animation, and the importance of nature [Boulter] |
| 22135 | Our concepts can never fully capture reality, but simplification does not falsify [Boulter] |
| 22152 | Aristotelians accept the analytic-synthetic distinction [Boulter] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| 22156 | The facts about human health are the measure of the values in our lives [Boulter] |