13 ideas
23392 | The Dao (Way) first means the road, and comes to mean the right way to live [Norden] |
Full Idea: The 'Dao' (tr 'Way) has five meanings: 1) path or road, 2) mode of doing something, 3) account of how to do something, 4) the right way to live, and 5) the ultimate metaphysical entity responsible for nature, and how it should be. | |
From: Bryan van Norden (Intro to Classical Chinese Philosophy [2011], 1.III) | |
A reaction: [compressed] So it is essentially metaphorical, just like the English 'way to do a thing'. Number 5 seems a rather large leap from the others, and most discussion seems to centre on number 4. The Chinese hoped for consensus on the Dao. |
23408 | The hermeneutic circle is either within the text, or between text and biased reader [Norden] |
Full Idea: The first type of hermeneutic circle operates inside the text, studying relationships between sentences. …The second type is between the text and the reader, …who brings assumptions about what it means. | |
From: Bryan van Norden (Intro to Classical Chinese Philosophy [2011], App A.I) | |
A reaction: The first kind is an essential aspect of reading well. Readers are biased, but I get very tired of those who do nothing but search for bias, and ignore the truth a text has to offer. If everything is bias, intellectual life is dead. |
23407 | Heremeneutics is either 'faith' (examining truth) or 'suspicion' (looking for hidden motives) [Norden] |
Full Idea: A 'hermeneutics of faith' treat a text as a candidate for truth. ….A 'hermeneutics of suspicion' looks not for truth but for explanations of why someone makes certain claims, …particularly to serve their ulterior interests. | |
From: Bryan van Norden (Intro to Classical Chinese Philosophy [2011], App I.1) | |
A reaction: As far as I can see, the suspicious approach was a legitimate development in sociology, which studies the sources of ideas, but is absurdly offered by some philosophers as a total replacement of the faith approach. |
13733 | Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn] |
Full Idea: Frege (1893) considered a definite description to be a genuine singular term (as we do), so that a sentence like 'The present King of France is bald' would have the same logical form as 'Harry Truman is bald'. | |
From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by M Fitting/R Mendelsohn - First-Order Modal Logic | |
A reaction: The difficulty is what the term refers to, and they embrace a degree of Meinongianism - that is that non-existent objects can still have properties attributed to them, and so can be allowed some sort of 'existence'. |
9874 | Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege] |
Full Idea: The contradiction in Frege's system is due to the presence of second-order quantification, ..and Frege's explanation of the second-order quantifier, unlike that which he provides for the first-order one, appears to be substitutional rather than objectual. | |
From: comment on Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], §25) by Michael Dummett - Frege philosophy of mathematics Ch.17 | |
A reaction: In Idea 9871 Dummett adds the further point that Frege lacks a clear notion of the domain of quantification. At this stage I don't fully understand this idea, but it is clearly of significance, so I will return to it. |
18252 | Real numbers are ratios of quantities, such as lengths or masses [Frege] |
Full Idea: If 'number' is the referent of a numerical symbol, a real number is the same as a ratio of quantities. ...A length can have to another length the same ratio as a mass to another mass. | |
From: Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], III.1.73), quoted by Michael Dummett - Frege philosophy of mathematics 21 'Frege's' | |
A reaction: This is part of a critique of Cantor and the Cauchy series approach. Interesting that Frege, who is in the platonist camp, is keen to connect the real numbers with natural phenomena. He is always keen to keep touch with the application of mathematics. |
18271 | We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege] |
Full Idea: It cannot be demanded that everything be proved, because that is impossible; but we can require that all propositions used without proof be expressly declared as such, so that we can see distinctly what the whole structure rests upon. | |
From: Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], p.2), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 7 'What' |
10623 | Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright] |
Full Idea: Frege opts for his famous definition of numbers in terms of extensions of the concept 'equal to the concept F', but he then (in 'Grundgesetze') needs a theory of extensions or classes, which he provided by means of Basic Law V. | |
From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by B Hale / C Wright - Intro to 'The Reason's Proper Study' §1 |
9975 | Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege] |
Full Idea: Cantor pointed out explicitly to Frege that it is a mistake to take the notion of a set (i.e. of that which has a cardinal number) to simply mean the extension of a concept. ...Frege's later assumption of this was an act of recklessness. | |
From: comment on Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by William W. Tait - Frege versus Cantor and Dedekind III | |
A reaction: ['recklessness' is on p.61] Tait has no sympathy with the image of Frege as an intellectual martyr. Frege had insufficient respect for a great genius. Cantor, crucially, understood infinity much better than Frege. |
18165 | My Basic Law V is a law of pure logic [Frege] |
Full Idea: I hold that my Basic Law V is a law of pure logic. | |
From: Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], p.4), quoted by Penelope Maddy - Naturalism in Mathematics I.1 | |
A reaction: This is, of course, the notorious law which fell foul of Russell's Paradox. It is said to be pure logic, even though it refers to things that are F and things that are G. |
9190 | A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett] |
Full Idea: In later Frege, a concept could be taken as a particular case of a function, mapping every object on to one of the truth-values (T or F), according as to whether, as we should ordinarily say, that object fell under the concept or not. | |
From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by Michael Dummett - The Philosophy of Mathematics 3.5 | |
A reaction: As so often in these attempts at explanation, this sounds circular. You can't decide whether an object truly falls under a concept, if you haven't already got the concept. His troubles all arise (I say) because he scorns abstractionist accounts. |
13665 | Frege took the study of concepts to be part of logic [Frege, by Shapiro] |
Full Idea: Frege took the study of concepts and their extensions to be within logic. | |
From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by Stewart Shapiro - Foundations without Foundationalism 7.1 | |
A reaction: This is part of the plan to make logic a universal language (see Idea 13664). I disagree with this, and with the general logicist view of the position of logic. The logical approach thins concepts out. See Deleuze/Guattari's horror at this. |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |