8 ideas
| 23367 | Even pointing a finger should only be done for a reason [Epictetus] |
| Full Idea: Philosophy says it is not right even to stretch out a finger without some reason. | |
| From: Epictetus (fragments/reports [c.57], 15) | |
| A reaction: The key point here is that philosophy concerns action, an idea on which Epictetus is very keen. He rather despise theory. This idea perfectly sums up the concept of the wholly rational life (which no rational person would actually want to live!). |
| 17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
| Full Idea: Usually Gödel's incompleteness theorems are taken as showing a limitation on the syntactic approach to an understanding of the concept of infinity. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 05) |
| 17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
| Full Idea: It is necessary to use non-mathematical concepts, i.e. concepts lacking the precision which permit mathematical manipulation, for a significant approach to foundations. We currently have no concepts of this kind which we can take seriously. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 06) | |
| A reaction: Music to the ears of any philosopher of mathematics, because it means they are not yet out of a job. |
| 18239 | What is contemplated must have a higher value than contemplation [Kant, by Korsgaard] |
| Full Idea: Kant objects that the world must have a final purpose in order to be worth contemplating, so contemplation cannot be that final purpose. | |
| From: report of Immanuel Kant (Critique of Judgement II: Teleological [1790]) by Christine M. Korsgaard - Aristotle and Kant on the Source of Value 8 'Arist and' | |
| A reaction: That is a very good objection. If we contemplate the ordered heavens, the ordering of the heavens seems to have a greater value than our contemplation of them. The reply is that the contemplation is the final purpose being contemplated! |
| 18238 | Only a good will can give man's being, and hence the world, a final purpose [Kant] |
| Full Idea: A good will is that whereby alone [man's] being can have an absolute worth and in reference to which the being of the world can have a final purpose. | |
| From: Immanuel Kant (Critique of Judgement II: Teleological [1790], C3 443), quoted by Christine M. Korsgaard - Aristotle and Kant on the Source of Value 8 'Kant' | |
| A reaction: I wish Kant gave a better account of what a 'good' will consists of. This is an awful burden to bear when you are making decisions. |
| 22053 | The Critique of Judgement aims for a principle that unities humanity and nature [Kant, by Bowie] |
| Full Idea: The Critique of Judgement aims to show how judgement functions 'according to the principle of the appropriateness of nature to our capacity for cognition'. It is meant to provide a principle of the unity of humankind and nature. | |
| From: report of Immanuel Kant (Critique of Judgement II: Teleological [1790]) by Andrew Bowie - German Philosophy: a very short introduction 1 | |
| A reaction: Hence this work is often overlooked as a key part of Kant's 'system'. At first he probably didn't realise he was creating a system. Kant set an agenda for the philosophy of the ensuing thirty years. |
| 18237 | Without men creation would be in vain, and without final purpose [Kant] |
| Full Idea: Without men the whole creation would be mere waste, in vain, and without final purpose. | |
| From: Immanuel Kant (Critique of Judgement II: Teleological [1790], C3 442), quoted by Christine M. Korsgaard - Aristotle and Kant on the Source of Value 8 'Kant' | |
| A reaction: The standard early twenty-first century response to that is 'get over it'! The remark shows how deep religion runs in Kant, despite his great caution about the existence of God. His notion of 'duty' is similarly religious. |
| 17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |
| Full Idea: In analysis, the most natural conception of a point ignores the matter of naming the point, i.e. how the real number is represented or by what constructions the point is reached from given points. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 13) | |
| A reaction: This problem has bothered me. There are formal ways of constructing real numbers, but they don't seem to result in a name for each one. |