31 ideas
6782 | Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam] |
10775 | The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp] |
10766 | Logic is either for demonstration, or for characterizing structures [Tharp] |
10767 | Elementary logic is complete, but cannot capture mathematics [Tharp] |
10769 | Second-order logic isn't provable, but will express set-theory and classic problems [Tharp] |
10762 | In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp] |
10776 | The main quantifiers extend 'and' and 'or' to infinite domains [Tharp] |
10774 | There are at least five unorthodox quantifiers that could be used [Tharp] |
10777 | Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp] |
10773 | The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp] |
10765 | Soundness would seem to be an essential requirement of a proof procedure [Tharp] |
10763 | Completeness and compactness together give axiomatizability [Tharp] |
10770 | If completeness fails there is no algorithm to list the valid formulas [Tharp] |
10771 | Compactness is important for major theories which have infinitely many axioms [Tharp] |
10772 | Compactness blocks infinite expansion, and admits non-standard models [Tharp] |
10764 | A complete logic has an effective enumeration of the valid formulas [Tharp] |
10768 | Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp] |
22181 | Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha] |
4983 | There are no rules linking thought and behaviour, because endless other thoughts intervene [Davidson] |
3529 | Reduction is impossible because mind is holistic and brain isn't [Davidson, by Maslin] |
2307 | Anomalous monism says nothing at all about the relationship between mental and physical [Davidson, by Kim] |
5497 | Mind is outside science, because it is humanistic and partly normative [Davidson, by Lycan] |
4081 | Anomalous monism says causes are events, so the mental and physical are identical, without identical properties [Davidson, by Crane] |
2321 | If rule-following and reason are 'anomalies', does that make reductionism impossible? [Davidson, by Kim] |
3404 | Davidson claims that mental must be physical, to make mental causation possible [Davidson, by Kim] |
3405 | If mental causation is lawless, it is only possible if mental events have physical properties [Davidson, by Kim] |
16041 | Supervenience of the mental means physical changes mental, and mental changes physical [Davidson] |
6620 | Davidson sees identity as between events, not states, since they are related in causation [Davidson, by Lowe] |
3429 | Multiple realisability was worse news for physicalism than anomalous monism was [Davidson, by Kim] |
3524 | Causation is either between events, or between descriptions of events [Davidson, by Maslin] |
3526 | Whether an event is a causal explanation depends on how it is described [Davidson, by Maslin] |