12215
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The existence of numbers is not a matter of identities, but of constituents of the world [Fine,K]
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Full Idea:
On saying that a particular number exists, we are not saying that there is something identical to it, but saying something about its status as a genuine constituent of the world.
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From:
Kit Fine (The Question of Ontology [2009], p.168)
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A reaction:
This is aimed at Frege's criterion of identity, which is to be an element in an identity relation, such as x = y. Fine suggests that this only gives a 'trivial' notion of existence, when he is interested in a 'thick' sense of 'exists'.
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12209
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The indispensability argument shows that nature is non-numerical, not the denial of numbers [Fine,K]
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Full Idea:
Arguments such as the dispensability argument are attempting to show something about the essentially non-numerical character of physical reality, rather than something about the nature or non-existence of the numbers themselves.
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From:
Kit Fine (The Question of Ontology [2009], p.160)
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A reaction:
This is aimed at Hartry Field. If Quine was right, and we only believe in numbers because of our science, and then Field shows our science doesn't need it, then Fine would be wrong. Quine must be wrong, as well as Field.
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12214
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'Exists' is a predicate, not a quantifier; 'electrons exist' is like 'electrons spin' [Fine,K]
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Full Idea:
The most natural reading of 'electrons exist' is that there are electrons while, on our view, the proper reading should be modeled on 'electrons spin', meaning every electron spins. 'Exists' should be treated as a predicate rather than a quantifier.
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From:
Kit Fine (The Question of Ontology [2009], p.167)
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A reaction:
So existence IS a predicate (message to Kant). Dunno. Electrons have to exist in order to spin, but they don't have to exist in order to exist. But they don't have to exist to be 'dead'.
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12217
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For ontology we need, not internal or external views, but a view from outside reality [Fine,K]
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Full Idea:
We need to straddle both of Carnap's internal and external views. It is only by standing outside of reality that we are able to occupy a standpoint from which the constitution of reality can be adequately described.
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From:
Kit Fine (The Question of Ontology [2009], p.174)
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A reaction:
See Idea 4840! I thoroughly approve of this idea, which almost amounts to a Credo for the modern metaphysician. Since we can think outside our room, or our country, or our era, or our solar system, I think we can do what Fine is demanding.
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13076
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Scholastics treat relations as two separate predicates of the relata [Cover/O'Leary-Hawthorne]
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Full Idea:
The scholastics treated it as a step in the right explanatory direction to analyze a relational statement of the form 'aRb' into two subject-predicate statements, attributing different relational predicates to a and to b.
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From:
Cover,J/O'Leary-Hawthorne,J (Substance and Individuation in Leibniz [1999], 2.2.1)
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A reaction:
The only alternative seems to be Russell's view of relations as pure universals, having a life of their own, quite apart from their relata. Or you could take them as properties of space, time (and powers?), external to the relata?
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13102
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If you individuate things by their origin, you still have to individuate the origins themselves [Cover/O'Leary-Hawthorne]
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Full Idea:
If we go for the necessity-of-origins view, A and B are different if the origin of A is different from the origin of B. But one is left with the further question 'When is the origin of A distinct from the origin of B?'
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From:
Cover,J/O'Leary-Hawthorne,J (Substance and Individuation in Leibniz [1999], 7.4.1)
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A reaction:
There may be an answer to this, in a regress of origins that support one another, but in the end the objection is obviously good. You can't begin to refer to an 'origin' if you can't identify anything in the first place.
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13103
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Numerical difference is a symmetrical notion, unlike proper individuation [Cover/O'Leary-Hawthorne]
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Full Idea:
Scholastics distinguished criteria of numerical difference from questions of individuation proper, since numerical difference is a symmetrical notion.
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From:
Cover,J/O'Leary-Hawthorne,J (Substance and Individuation in Leibniz [1999], 7.4.1)
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A reaction:
This apparently old-fashioned point appears to be conclusively correct. Modern thinkers, though, aren't comfortable with proper individuation, because they don't believe in concepts like 'essence' and 'substance' that are needed for the job.
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13104
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Haecceity as property, or as colourless thisness, or as singleton set [Cover/O'Leary-Hawthorne]
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Full Idea:
There is a contemporary property construal of haecceities, ...and a Scotistic construal as primitive, 'colourless' thisnesses which, unlike singleton-set haecceities, are aimed to do some explanatory work.
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From:
Cover,J/O'Leary-Hawthorne,J (Substance and Individuation in Leibniz [1999], 7.4.4)
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A reaction:
[He associates the contemporary account with David Kaplan] I suppose I would say that individuation is done by properties, but not by some single property, so I take it that I don't believe in haecceities at all. What individuates a haecceity?
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13100
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Maybe 'substance' is more of a mass-noun than a count-noun [Cover/O'Leary-Hawthorne]
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Full Idea:
We could think of 'substance' on the model of a mass noun, rather than a count noun.
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From:
Cover,J/O'Leary-Hawthorne,J (Substance and Individuation in Leibniz [1999], 7.3)
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A reaction:
They offer this to help Leibniz out of a mess, but I think he would be appalled. The proposal seems close to 'prime matter' in Aristotle, which never quite does the job required of it. The idea is nice, though, and should be taken seriously.
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13068
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We can ask for the nature of substance, about type of substance, and about individual substances [Cover/O'Leary-Hawthorne]
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Full Idea:
In the 'blueprint' approach to substance, we confront at least three questions: What is it for a thing to be an individual substance? What is it for a thing to be the kind of substance that it is? What is it to be that very individual substance?
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From:
Cover,J/O'Leary-Hawthorne,J (Substance and Individuation in Leibniz [1999], 1.1.1)
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A reaction:
My working view is that the answer to the first question is that substance is essence, that the second question is overrated and parasitic on the third, and that the third is the key question, and also reduces to essence.
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13069
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The general assumption is that substances cannot possibly be non-substances [Cover/O'Leary-Hawthorne]
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Full Idea:
There is a widespread assumption, now and in the past, that substances are essentially substances: nothing is actually a substance but possibly a non-substance.
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From:
Cover,J/O'Leary-Hawthorne,J (Substance and Individuation in Leibniz [1999], 1.1.2)
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A reaction:
It seems to me that they clearly mean, in this context, that substances are 'necessarily' substances, not that they are 'essentially' substances. I would just say that substances are essences, and leave the necessity question open.
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13101
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Necessity-of-origin won't distinguish ex nihilo creations, or things sharing an origin [Cover/O'Leary-Hawthorne]
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Full Idea:
A necessity-of-origins approach cannot work to distinguish things that come into being genuinely ex nihilo, and cannot work to distinguish things sharing a single origin.
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From:
Cover,J/O'Leary-Hawthorne,J (Substance and Individuation in Leibniz [1999], 7.4.1)
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A reaction:
Since I am deeply suspicious of essentiality or necessity of origin (and they are not, I presume, the same thing) I like these two. Twins have always bothered me with the second case (where order of birth seems irrelevant).
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13071
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We can go beyond mere causal explanations if we believe in an 'order of being' [Cover/O'Leary-Hawthorne]
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Full Idea:
The philosopher comfortable with an 'order of being' has richer resources to make sense of the 'in virtue of' relation than that provided only by causal relations between states of affairs, positing in addition other sorts of explanatory relationships.
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From:
Cover,J/O'Leary-Hawthorne,J (Substance and Individuation in Leibniz [1999], 1.1.2)
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A reaction:
This might best be characterised as 'ontological dependence', and could be seen as a non-causal but fundamental explanatory relationship, and not one that has to depend on a theistic world view.
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21053
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The manifest will in the world of phenomena has to conform to the laws of nature [Kant]
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Full Idea:
Whatever conception of the freedom of the will one may form in terms of metaphysics, the will's manifestations in the world of phenomena, i.e. human actions, are determined in accordance with natural laws, as is every other natural event.
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From:
Immanuel Kant (Idea for a Universal History [1784], Intro)
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A reaction:
So free will either requires total substance dualism, or it is best described as transcendental fictionalism. This seems to imply the Leibnizian idea that metaphysics contains facts which having nothing to do with the physical world.
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