9 ideas
| 9548 | A mathematical object exists if there is no contradiction in its definition [Waterfield] |
| Full Idea: A mathematical object exists provided there is no contradiction implied in its definition. | |
| From: Robin Waterfield (Introduction to 'Hippias Minor' [1987], p.44), quoted by Charles Chihara - A Structural Account of Mathematics 1.4 | |
| A reaction: A rather bizarre criterion for existence. Not one, for example, that you would consider applying to the existence of physical objects! But then Poincaré is the father of 'conventionalism', rather than being a platonist. |
| 23647 | Objects have an essential constitution, producing its qualities, which we are too ignorant to define [Reid] |
| Full Idea: Individuals and objects have a real essence, or constitution of nature, from which all their qualities flow: but this essence our faculties do not comprehend. They are therefore incapable of definition. | |
| From: Thomas Reid (Essays on Intellectual Powers 4: Conception [1785], 1) | |
| A reaction: Aha - he's one of us! I prefer the phrase 'essential nature' of an object, which is understood, I think, by everyone. I especially like the last bit, directed at those who mistakenly think that Aristotle identified the essence with the definition. |
| 11958 | Impossibilites are easily conceived in mathematics and geometry [Reid, by Molnar] |
| Full Idea: Reid pointed out how easily conceivable mathematical and geometric impossibilities are. | |
| From: report of Thomas Reid (Essays on Intellectual Powers 4: Conception [1785], IV.III) by George Molnar - Powers 11.3 | |
| A reaction: The defence would be that you have to really really conceive them, and the only way the impossible can be conceived is by blurring it at the crucial point, or by claiming to conceive more than you actually can |
| 23646 | Reference is by name, or a term-plus-circumstance, or ostensively, or by description [Reid] |
| Full Idea: An individual is expressed by a proper name, or by a general word joined to distinguishing circumstances; if unknown, it may be pointed out to the senses; when beyond the reach of the senses it may be picked out by an imperfect but true description. | |
| From: Thomas Reid (Essays on Intellectual Powers 4: Conception [1785], 1) | |
| A reaction: [compressed] If Putnam, Kripke and Donnellan had read this paragraph they could have save themselves a lot of work! I take reference to be the activity of speakers and writers, and these are the main tools of the trade. |
| 23645 | A word's meaning is the thing conceived, as fixed by linguistic experts [Reid] |
| Full Idea: The meaning of a word (such as 'felony') is the thing conceived; and that meaning is the conception affixed to it by those who best understand the language. | |
| From: Thomas Reid (Essays on Intellectual Powers 4: Conception [1785], 1) | |
| A reaction: He means legal experts. This is precisely that same as Putnam's account of the meaning of 'elm tree'. His discussion here of reference is the earliest I have encountered, and it is good common sense (for which Reid is famous). |
| 22265 | I can't defend the view that the majority values of a community are thereby right [Sandel] |
| Full Idea: Insofar as 'communitarian' is another name for majoritarianism, or for the idea that rights should rest on the values that predominate in any given community at any given time, it is not a view I would defend. | |
| From: Michael J. Sandel (The Limits of Communitarianism [1998], 'Where') | |
| A reaction: I should hope not. You could soon end up as a good nazi if you follow that route. Sandel defends a critical view of community values (implying a role for philosophy?). The community good must be continually negotiated. Sounds fine to me. |
| 22268 | If persons define themselves by a group membership, insults to that group are a real harm [Sandel] |
| Full Idea: For persons who understand themselves as defined by the ethnic or religious group to which they belong, an insult to the group can inflict a harm as real and as damaging as some physical harms. | |
| From: Michael J. Sandel (The Limits of Communitarianism [1998], 'Free speech') | |
| A reaction: In Britain many people fully define themselves by their allegiance to a football club. Really! They usually learn to laugh off an insult to their club, but it hurts. Laughing off an insult is an essential modern skill - up to a point. |
| 22267 | In the liberal view an insult to my group doesn't hurt me, since I'm defined by choices not groups [Sandel] |
| Full Idea: By the liberal conception of a person, my dignity could never be damaged by an insult to a group with which I identify, because what matters is not my social role, but my capacity to choose that role. | |
| From: Michael J. Sandel (The Limits of Communitarianism [1998], 'Free speech') | |
| A reaction: If I'm defined by my capacity to choose, and I choose to join some group, why is an insult to that group not an insult to my capacity to choose? How do you insult a liberal? 'I despise your individual freedom!'. |
| 22266 | The case for religious liberty depends on the religion contributing to a morally good life [Sandel] |
| Full Idea: Unless there were reason to believe that religious beliefs and practices contribute to morally admirable ways of life, the case for a right to religious liberty would be weakened. | |
| From: Michael J. Sandel (The Limits of Communitarianism [1998], 'Religious') | |
| A reaction: I think many religious people would deny that their religion is primarily moral. (W.Blake: 'If morality is Christianity, then Socrates was the saviour'). Whose concept of a morally good life is Sandel referring to? |