30 ideas
| 16943 | Philosophy is continuous with science, and has no external vantage point [Quine] |
| 10757 | Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg] |
| 10751 | Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg] |
| 10759 | There are at least seven possible systems of semantics for second-order logic [Rossberg] |
| 10753 | Logical consequence is intuitively semantic, and captured by model theory [Rossberg] |
| 10752 | Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg] |
| 10754 | In proof-theory, logical form is shown by the logical constants [Rossberg] |
| 10756 | A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg] |
| 10758 | If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg] |
| 10761 | Completeness can always be achieved by cunning model-design [Rossberg] |
| 10755 | A deductive system is only incomplete with respect to a formal semantics [Rossberg] |
| 16949 | Klein summarised geometry as grouped together by transformations [Quine] |
| 19393 | What is not active is nothing [Leibniz] |
| 16939 | Mass terms just concern spread, but other terms involve both spread and individuation [Quine] |
| 16948 | Once we know the mechanism of a disposition, we can eliminate 'similarity' [Quine] |
| 16945 | We judge things to be soluble if they are the same kind as, or similar to, things that do dissolve [Quine] |
| 16944 | Science is common sense, with a sophisticated method [Quine] |
| 16941 | Induction relies on similar effects following from each cause [Quine] |
| 16940 | Induction is just more of the same: animal expectations [Quine] |
| 16933 | Grue is a puzzle because the notions of similarity and kind are dubious in science [Quine] |
| 16934 | General terms depend on similarities among things [Quine] |
| 16938 | To learn yellow by observation, must we be told to look at the colour? [Quine] |
| 16947 | Similarity is just interchangeability in the cosmic machine [Quine] |
| 8486 | Standards of similarity are innate, and the spacing of qualities such as colours can be mapped [Quine] |
| 16932 | Projectible predicates can be universalised about the kind to which they refer [Quine] |
| 7375 | Quine probably regrets natural kinds now being treated as essences [Quine, by Dennett] |
| 16935 | If similarity has no degrees, kinds cannot be contained within one another [Quine] |
| 16936 | Comparative similarity allows the kind 'colored' to contain the kind 'red' [Quine] |
| 16937 | You can't base kinds just on resemblance, because chains of resemblance are a muddle [Quine] |
| 16942 | It is hard to see how regularities could be explained [Quine] |