9 ideas
| 10528 | Definitions concern how we should speak, not how things are [Fine,K] |
| Full Idea: Our concern in giving a definition is not to say how things are by to say how we wish to speak | |
| From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.310) | |
| A reaction: This sounds like an acceptable piece of wisdom which arises out of analytical and linguistic philosophy. It puts a damper on the Socratic dream of using definition of reveal the nature of reality. |
| 10529 | If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K] |
| Full Idea: Neo-Fregeans have thought that Hume's Principle, and the like, might be definitive of number and therefore not subject to the usual epistemological worries over its truth. | |
| From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.310) | |
| A reaction: This seems to be the underlying dream of logicism - that arithmetic is actually brought into existence by definitions, rather than by truths derived from elsewhere. But we must be able to count physical objects, as well as just counting numbers. |
| 10530 | Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K] |
| Full Idea: The fundamental difficulty facing the neo-Fregean is to either adopt the predicative reading of Hume's Principle, defining numbers, but inadequate, or the impredicative reading, which is adequate, but not really a definition. | |
| From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.312) | |
| A reaction: I'm not sure I understand this, but the general drift is the difficulty of building a system which has been brought into existence just by definition. |
| 7803 | Modal logic began with translation difficulties for 'If...then' [Lewis,CI, by Girle] |
| Full Idea: C.I.Lewis began his groundbreaking work in modal logic because he was concerned about the unreliability of the material conditional as a translation of 'If ... then' conditionals. | |
| From: report of C.I. Lewis (Symbolic Logic (with Langford) [1932]) by Rod Girle - Modal Logics and Philosophy 12.3 | |
| A reaction: Compare 'if this is square then it has four corners' with 'if it rains then our afternoon is ruined'. Different modalities seem to be involved. We even find that 'a square has four corners' will be materially implied if it rains! |
| 10527 | An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K] |
| Full Idea: If an abstraction principle is going to be acceptable, then it should not 'inflate', i.e. it should not result in there being more abstracts than there are objects. By this mark Hume's Principle will be acceptable, but Frege's Law V will not. | |
| From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.307) | |
| A reaction: I take this to be motivated by my own intuition that abstract concepts had better be rooted in the world, or they are not worth the paper they are written on. The underlying idea this sort of abstraction is that it is 'shared' between objects. |
| 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. |