Combining Texts

All the ideas for 'Reply to Foucher', 'Aspects of the Theory of Syntax' and 'Aristotle on Essence and Explanation'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
I strongly believe in the actual infinite, which indicates the perfections of its author [Leibniz]
     Full Idea: I am so much for the actual infinite that instead of admitting that nature abhors it, as is commonly said, I hold that it affects nature everywhere in order to indicate the perfections of its author.
     From: Gottfried Leibniz (Reply to Foucher [1693], p.99)
     A reaction: I would have thought that, for Leibniz, while infinities indicate the perfections of their author, that is not the reason why they exist. God wasn't, presumably, showing off. Leibniz does not think we can actually know these infinities.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Jones may cease to exist without some simple property, but that doesn't make it essential [Kung]
     Full Idea: If Jones ceases to be a father, or ceases to be over eight years old, he will cease to exist, yet these properties surely do not belong essentially to him.
     From: Joan Kung (Aristotle on Essence and Explanation [1977], II)
     A reaction: This seems to correct, though I would doubt whether either of these count as true properties, in the causal sense I prefer. If being 'over 8' is a property, how many 'over n' or 'under m' properties does he have? One for each quantum moment?
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
A property may belong essentially to one thing and contingently to another [Kung]
     Full Idea: It is possible that a property may belong essentially to one thing and contingently to another.
     From: Joan Kung (Aristotle on Essence and Explanation [1977], III)
     A reaction: Thus a love of blues music may be part of your essence, but only a minor part of me. Sounds right. Spin or charge are part of the essence of an electron, but only contingently part of a child's top.
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Aristotelian essences underlie a thing's existence, explain it, and must belong to it [Kung]
     Full Idea: Three essentialist claims are labelled 'Aristotelian': the thing would cease to exist without the property; an essential property is explanatory; and it is such that it must belong to everything to which it belongs.
     From: Joan Kung (Aristotle on Essence and Explanation [1977], Intro)
     A reaction: She says the second one is indispensable, and that it rules out the third one. My working assumption, like hers, is that the second one is the key part of the game, because Aristotle wanted to explain things.
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Some peripheral properties are explained by essential ones, but don't themselves explain properties [Kung]
     Full Idea: There will be demonstrated properties at the edge of the system, so to speak. They will be explained in terms of the essential properties of the basic entities and principles of the science, but will themselves not be explanatory of further properties.
     From: Joan Kung (Aristotle on Essence and Explanation [1977], II)
     A reaction: This is an important line of thought which needs clarification. We can't glibly say that essences are what explain the other properties. Some properties do more than others to explain subsequent dependent properties.
Some non-essential properties may explain more than essential-but-peripheral ones do [Kung]
     Full Idea: It seems highly likely that some non-essential properties may explain more about the individual or about things of his kind than the peripheral properties.
     From: Joan Kung (Aristotle on Essence and Explanation [1977], II)
     A reaction: Another important issue, if one is defending the explanatory role of essences. It is not only essences which explain. A key question is whether we endorse individual essences as well as generic ones. I think we should. They explain the details.
19. Language / C. Assigning Meanings / 1. Syntax
Chomsky's 'interpretative semantics' says syntax comes first, and is then interpreted [Chomsky, by Magidor]
     Full Idea: Chomsky and his followers (whose position was labelled 'interpretative semantics') claimed that a sentence is first assigned a syntactic structure by an autonomous syntactic module, and this structure is then provided as input for semantic interpretation.
     From: report of Noam Chomsky (Aspects of the Theory of Syntax [1965]) by Ofra Magidor - Category Mistakes 1.3
     A reaction: This certainly doesn't fit the experience of introspecting speech, but then I suppose good pianists focus entirely on the music, and overlook the finger movements which have obvious priority. But I don't know the syntax of the sentence when I begin it.