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All the ideas for 'Essays on Intellectual Powers: Conception', 'fragments/reports' and 'On the Concept of Number'

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6 ideas

6. Mathematics / C. Sources of Mathematics / 7. Formalism

22293	Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]
	Full Idea: Hilbert proposed to circuvent the paradoxes by means of the doctrine (already proposed by Poincaré) that in mathematics consistency entails existence.
	From: report of David Hilbert (On the Concept of Number [1900], p.183) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 19 'Exist'
	A reaction: Interesting. Hilbert's idea has struck me as weird, but it makes sense if its main motive is to block the paradoxes. Roughly, the idea is 'it exists if it isn't paradoxical'. A low bar for existence (but then it is only in mathematics!).

9. Objects / D. Essence of Objects / 4. Essence as Definition

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.

10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible

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

15. Nature of Minds / A. Nature of Mind / 2. Psuche

5880	Xenocrates held that the soul had no form or substance, but was number [Xenocrates, by Cicero]
	Full Idea: Xenocrates denied that the soul had form or any substance, but said that it was number, and the power of number, as had been held by Pythagoras long before, was the highest in nature.
	From: report of Xenocrates (fragments/reports [c.327 BCE]) by M. Tullius Cicero - Tusculan Disputations I.x.20
	A reaction: This shows how strong the Pythagorean influence was in the Academy. This is not totally stupid. Dawkins holds that the essence of DNA is information, which can be expressed mathematically. Xenocrates was a functionalist.

19. Language / B. Reference / 1. Reference theories

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.

19. Language / B. Reference / 3. Direct Reference / c. Social reference

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).