15 ideas
14767 | The demonstrations of the metaphysicians are all moonshine [Peirce] |
14764 | I am saturated with the spirit of physical science [Peirce] |
22642 | Man has an intense natural interest in the consistency of his own thinking [James] |
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] |
22641 | Realities just are, and beliefs are true of them [James] |
14768 | Infallibility in science is just a joke [Peirce] |
14765 | Association of ideas is the best philosophical idea of the prescientific age [Peirce] |
22640 | We find satisfaction in consistency of all of our beliefs, perceptions and mental connections [James] |
14766 | Duns Scotus offers perhaps the best logic and metaphysics for modern physical science [Peirce] |