display all the ideas for this combination of texts
4 ideas
| 8415 | Never lose sight of the distinction between concept and object [Frege] |
| Full Idea: Never lose sight of the distinction between concept and object. | |
| From: Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884], Intro p.x) | |
| A reaction: Along with 8414 and 7732, we have the three axioms of modern analytical philosophy. Russell uses this distinction from Frege to attack Berkeley's idealism (see Idea 1103). The idea is strong in causal theories of reference. We realists love it. |
| 9841 | Frege was the first to give linguistic answers to non-linguistic questions [Frege, by Dummett] |
| Full Idea: Frege was the first philosopher to ask a non-linguistic question, and return a linguistic answer. | |
| From: report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884]) by Michael Dummett - Frege philosophy of mathematics Ch.10 | |
| A reaction: This is both heroic and infuriating. It is like erecting a road block in front of a beautiful valley. You say 'Is there a God?' and I reply 'Let us consider the semantics of that sentence'. |
| 9840 | Frege initiated linguistic philosophy, studying number through the sense of sentences [Frege, by Dummett] |
| Full Idea: §62 of Frege's 'Grundlagen' is arguably the most pregnant philosophical paragraph ever written; ..it is the very first example of what has become known as the 'linguistic turn' in philosophy. His enquiry into numbers focuses on the sense of sentences. | |
| From: report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884], §62) by Michael Dummett - Frege philosophy of mathematics | |
| A reaction: Dummett is a great fan of this, possibly the last great fan. It is undeniable that Frege has found one way to get at the problem, but I doubt if it is the only way. |
| 15948 | Frege developed formal systems to avoid unnoticed assumptions [Frege, by Lavine] |
| Full Idea: Frege developed a formal system to make sure that he hadn't employed unnoticed assumptions about arithmetic. | |
| From: report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884]) by Shaughan Lavine - Understanding the Infinite VIII.2 | |
| A reaction: It is interesting that Frege seems to have had far more influence on analytic philosophy than he ever had on mathematics. |