10 ideas
| 20955 | Art can make reason more all-inclusive, by articulating what seemed inexpressible [Bowie] |
| Full Idea: The early German Romantics argued that art pointed to a more all-inclusive conception of reason, which can offer ways of articulating what is not conceptually accessible. | |
| From: Andrew Bowie (Introduction to German Philosophy [2003], 5 'Reason') | |
| A reaction: [This is Novalis, F.Schlegel, Schleiermacher, and Hölderlin] I'm in favour of expanding reason, to include assessment of situations and coherence, rather than just stepwise reasoning. Not sure that art 'articulates' something new. |
| 5831 | The new view is that "water" is a name, and has no definition [Schwartz,SP] |
| Full Idea: Perhaps the modern view is best expressed as saying that "water" has no definition at all, at least in the traditional sense, and is a proper name of a specific substance. | |
| From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III) | |
| A reaction: This assumes that proper names have no definitions, though I am not clear how we can grasp the name 'Aristotle' without some association of properties (human, for example) to go with it. We need a definition of 'definition'. |
| 9616 | A set is a collection into a whole of distinct objects of our intuition or thought [Cantor] |
| Full Idea: A set is any collection into a whole M of definite, distinct objects m ... of our intuition or thought. | |
| From: George Cantor (The Theory of Transfinite Numbers [1897], p.85), quoted by James Robert Brown - Philosophy of Mathematics Ch.2 | |
| A reaction: This is the original conception of a set, which hit trouble with Russell's Paradox. Cantor's original definition immediately invites thoughts about the status of vague objects. |
| 5829 | We refer to Thales successfully by name, even if all descriptions of him are false [Schwartz,SP] |
| Full Idea: We can refer to Thales by using the name "Thales" even though perhaps the only description we can supply is false of him. | |
| From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III) | |
| A reaction: It is not clear what we would be referring to if all of our descriptions (even 'Greek philosopher') were false. If an archaeologist finds just a scrap of stone with a name written on it, that is hardly a sufficient basis for successful reference. |
| 5830 | The traditional theory of names says some of the descriptions must be correct [Schwartz,SP] |
| Full Idea: The traditional theory of proper names entails that at least some combination of the things ordinarily believed of Aristotle are necessarily true of him. | |
| From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III) | |
| A reaction: Searle endorses this traditional theory. Kripke and co. tried to dismiss it, but you can't. If all descriptions of Aristotle turned out to be false (it was actually the name of a Persian statue), our modern references would have been unsuccessful. |
| 15896 | Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine] |
| Full Idea: Cantor grafted the Power Set axiom onto his theory when he needed it to incorporate the real numbers, ...but his theory was supposed to be theory of collections that can be counted, but he didn't know how to count the new collections. | |
| From: report of George Cantor (The Theory of Transfinite Numbers [1897]) by Shaughan Lavine - Understanding the Infinite I | |
| A reaction: I take this to refer to the countability of the sets, rather than the members of the sets. Lavine notes that counting was Cantor's key principle, but he now had to abandon it. Zermelo came to the rescue. |
| 20950 | German Idealism says our thinking and nature have the same rational structure [Bowie] |
| Full Idea: German Idealism aims to demonstrate that our thinking relates to a nature which is intelligibly structured in the same way as our thinking is structured. | |
| From: Andrew Bowie (Introduction to German Philosophy [2003], 3 'Limits') | |
| A reaction: Now that's an idealism I might buy into. Frege thought his logic was mapping rational reality. My angle is that we are a product of this 'reality', so we should expect our thinking to be similarly structured. Reason is derived from nature. |
| 20942 | Nazis think race predetermines the self [Bowie] |
| Full Idea: The Nazi idea is that the self is predetermined primarily by its race. | |
| From: Andrew Bowie (Introduction to German Philosophy [2003], Intro) | |
| A reaction: I suspect that I occasionally encounter this view, in very patriotic people. But then you meet people who feeling that their self is mainly determined by support of a football team. Note, though, 'pre-'determined. Hegel makes this idea possible? |
| 5826 | The intension of "lemon" is the conjunction of properties associated with it [Schwartz,SP] |
| Full Idea: The conjunction of properties associated with a term such as "lemon" is often called the intension of the term "lemon". | |
| From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §II) | |
| A reaction: The extension of "lemon" is the set of all lemons. At last, a clear explanation of the word 'intension'! The debate becomes clear - over whether the terms of a language are used in reference to ideas of properties (and substances?), or to external items. |
| 20946 | Rhetoric is built into language, so it cannot be stripped from philosophy [Bowie] |
| Full Idea: The attempt to rid philosophy of rhetoric falls prey precisely to that fact that what is involved in rhetoric is inherent in what is built into all natural languages by their genesis in the real historical world. | |
| From: Andrew Bowie (Introduction to German Philosophy [2003], 2 'Hamann') | |
| A reaction: Rhetoric can range from charming to bullying, and it is the latter which is the problem. The underlying issue is dogma versus dialectic. Some analytic philosophers have a good shot at being non-rhetorical. |