14 ideas
10882 | Predicative definitions only refer to entities outside the defined collection [Horsten] |
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] |
10884 | A theory is 'categorical' if it has just one model up to isomorphism [Horsten] |
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] |
10885 | Computer proofs don't provide explanations [Horsten] |
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] |
10881 | The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten] |
18165 | My Basic Law V is a law of pure logic [Frege] |
1556 | By nature people are close to one another, but culture drives them apart [Hippias] |
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] |