10579
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Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
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Full Idea:
Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass.
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From:
Stephen Yablo (Abstract Objects: a Case Study [2002], 08)
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A reaction:
See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning.
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13169
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I call Aristotle's entelechies 'primitive forces', which originate activity [Leibniz]
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Full Idea:
Forms establish the true general principles of nature. Aristotle calls them 'first entelechies'; I call them, perhaps more intelligibly, 'primitive forces', which contain not only act or the completion of possibility, but also an original activity.
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From:
Gottfried Leibniz (New system of communication of substances [1695], p.139)
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A reaction:
As in Idea 13168, I take Leibniz to be unifying Aristotle with modern science, and offering an active view of nature in tune with modern scientific essentialism. Laws arise from primitive force, and are not imposed from without.
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13170
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The analysis of things leads to atoms of substance, which found both composition and action [Leibniz]
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Full Idea:
There are only atoms of substance, that is, real unities absolutely destitute of parts, which are the source of actions, the first absolute principles of the composition of things, and, as it were, the final elements in the analysis of substantial things.
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From:
Gottfried Leibniz (New system of communication of substances [1695], p.142)
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A reaction:
I like this because it addresses the pure issue of the identity of an individuated object, but also links it with an active view of nature, and not some mere inventory of objects.
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4800
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Natural laws result from eliminative induction, where enumerative induction gives generalisations [Cohen,LJ, by Psillos]
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Full Idea:
Cohen contends that statements that express laws of nature are the products of eliminative induction, where accidentally true generalisations are the products of enumerative induction.
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From:
report of L. Jonathan Cohen (The Problem of Natural Laws [1980], p.222) by Stathis Psillos - Causation and Explanation §7.1
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A reaction:
The idea is that enumerative induction only offers the support of positive instances, where eliminative induction involves attempts to falsify a range of hypotheses. This still bases laws on observed regularities, rather than essences or mechanisms.
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13167
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We need the metaphysical notion of force to explain mechanics, and not just extended mass [Leibniz]
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Full Idea:
Considering 'extended mass' alone was not sufficient to explain the principles of mechanics and the laws of nature, but it is necessary to make use of the notion of 'force', which is very intelligible, despite belonging in the domain of metaphysics.
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From:
Gottfried Leibniz (New system of communication of substances [1695], p.139)
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A reaction:
We may find it surprising that force is a metaphysical concept, but that is worth pondering. It is a mysterious notion within physics. Notice the emphasis on what explains, and what is intelligible. He sees Descartes's system as too passive.
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