9354
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Why should necessities only be knowable a priori? That Hesperus is Phosporus is known empirically [Devitt]
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Full Idea:
Why should we accept that necessities can only be known a priori? Prima facie, some necessities are known empirically; for example, that water is necessarily H2O, and that Hesperus is necessarily Phosphorus.
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From:
Michael Devitt (There is no a Priori [2005], §2)
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A reaction:
An important question, whatever your view. If the only thing we can know a priori is necessities, it doesn't follow that necessities can only be known a priori. It gets interesting if we say that some necessities can never be known a priori.
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9353
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We explain away a priori knowledge, not as directly empirical, but as indirectly holistically empirical [Devitt]
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Full Idea:
We have no need to turn to an a priori explanation of our knowledge of mathematics and logic. Our intuitions that this knowledge is not justified in some direct empirical way is preserved. It is justified in an indirect holistic way.
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From:
Michael Devitt (There is no a Priori [2005], §2)
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A reaction:
I think this is roughly the right story, but the only way it will work is if we have some sort of theory of abstraction, which gets us up the ladder of generalisations to the ones which, it appears, are necessarily true.
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5880
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Xenocrates held that the soul had no form or substance, but was number [Xenocrates, by Cicero]
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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.
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From:
report of Xenocrates (fragments/reports [c.327 BCE]) by M. Tullius Cicero - Tusculan Disputations I.x.20
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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.
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