13 ideas
17807 | To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry] |
13733 | Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn] |
9874 | Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege] |
18252 | Real numbers are ratios of quantities, such as lengths or masses [Frege] |
18271 | We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege] |
10623 | Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright] |
9975 | Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege] |
17806 | It is untenable that mathematics is general physical truths, because it needs infinity [Curry] |
18165 | My Basic Law V is a law of pure logic [Frege] |
17808 | Saying mathematics is logic is merely replacing one undefined term by another [Curry] |
21547 | On Meinong's principles 'the existent round square' has to exist [Russell] |
9190 | A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett] |
13665 | Frege took the study of concepts to be part of logic [Frege, by Shapiro] |