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Ideas for 'Topics', 'On the Very Idea of a Third Dogma' and 'Unpublished Notebooks 1885-86'

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3 ideas

9. Objects / F. Identity among Objects / 9. Sameness
'Same' is mainly for names or definitions, but also for propria, and for accidents [Aristotle]
     Full Idea: 'The same' is employed in several senses: its principal sense is for same name or same definition; a second sense occurs when sameness is applied to a property [idiu]; a third sense is applied to an accident.
     From: Aristotle (Topics [c.331 BCE], 103a24-33)
     A reaction: [compressed] 'Property' is better translated as 'proprium' - a property unique to a particular thing, but not essential - see Idea 12262. Things are made up of essence, propria and accidents, and three ways of being 'the same' are the result.
Two identical things have the same accidents, they are the same; if the accidents differ, they're different [Aristotle]
     Full Idea: If two things are the same then any accident of one must also be an accident of the other, and, if one of them is an accident of something else, so must the other be also. For, if there is any discrepancy on these points, obviously they are not the same.
     From: Aristotle (Topics [c.331 BCE], 152a36)
     A reaction: So what is always called 'Leibniz's Law' should actually be 'Aristotle's Law'! I can't see anything missing from the Aristotle version, but then, since most people think it is pretty obvious, you would expect the great stater of the obvious to get it.
Numerical sameness and generic sameness are not the same [Aristotle]
     Full Idea: Things which are the same specifically or generically are not necessarily the same or cannot possibly be the same numerically.
     From: Aristotle (Topics [c.331 BCE], 152b32)
     A reaction: See also Idea 12266. This looks to me to be a pretty precise anticipation of Peirce's type/token distinction, but without the terminology. It is reassuring that Aristotle spotted it, as that makes it more likely to be a genuine distinction.