20 ideas
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
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] |
11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
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] |
4020 | The modern self has disengaged reason, self-exploration, and personal commitment [Taylor,C] |
4002 | My aim is to map the connections between our sense of self and our moral understanding [Taylor,C] |
4006 | I can only be aware of myself as a person who changes by means of my personal history [Taylor,C] |
11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
4003 | Selfhood and moral values are inextricably intertwined [Taylor,C] |
4021 | Willingness to risk life was the constitutive quality of the man of honour [Taylor,C] |
4005 | To have respect for people, you must feel their claims, or their injustices, or hold them in awe [Taylor,C] |
4004 | Consistency presupposes intrinsic description [Taylor,C] |
4010 | In later utilitarianism the modern stress on freedom leads to the rejection of paternalism [Taylor,C] |
4009 | Nominalists defended the sovereignty of God against the idea of natural existing good and evil [Taylor,C] |