6007
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If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
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Full Idea:
The 'undetected' or 'veiled' paradox of Eubulides says: if you know your father, and don't know the veiled person before you, but that person is your father, you both know and don't know the same person.
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From:
report of Eubulides (fragments/reports [c.390 BCE]) by R.M. Dancy - Megarian School
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A reaction:
Essentially an uninteresting equivocation on two senses of "know", but this paradox comes into its own when we try to give an account of how linguistic reference works. Frege's distinction of sense and reference tried to sort it out (Idea 4976).
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6008
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Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
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Full Idea:
The 'sorites' paradox of Eubulides says: if you take one grain of sand from a heap (soros), what is left is still a heap; so no matter how many grains of sand you take one by one, the result is always a heap.
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From:
report of Eubulides (fragments/reports [c.390 BCE]) by R.M. Dancy - Megarian School
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A reaction:
(also Cic. Acad. 2.49) This is a very nice paradox, which goes to the heart of our bewilderment when we try to fully understand reality. It homes in on problems of identity, as best exemplified in the Ship of Theseus (Ideas 1212 + 1213).
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14596
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Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr]
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Full Idea:
Just as there are no numbers or properties, there are no relations (like 'being heavier than' or 'betweenness'), or sets. I will provisionally use 'nominalism' for the conjunction of these four claims.
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From:
Cian Dorr (There Are No Abstract Objects [2008], 1)
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A reaction:
If you are going to be a nominalist, do it properly! My starting point in metaphysics is strong sympathy with this view. Right now [Tues 22nd Nov 2011, 10:57 am GMT] I think it is correct.
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14598
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Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr]
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Full Idea:
If there are abstract objects, there are necessary truths about these things that cannot be reduced to truths of logic. So only the nominalist, who denies that there are any such things, can adequately respect the idea that there are no brute necessities.
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From:
Cian Dorr (There Are No Abstract Objects [2008], 4)
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A reaction:
This is where two plates of my personal philosophy grind horribly against one another. I love nominalism, and I love natural necessities. They meet like a ring-species in evolution. I'll just call it a 'paradox', and move on (swiftly).
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7877
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Only phenomenal states have an explanatory gap; water is fully explained by H2O [Levine, by Papineau]
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Full Idea:
Levine says the explanatory gap is peculiar to phenomenal states. Once water has been identified with H2O, or temperature with mean kinetic energy, we do not continue to ask why H2O yields water, or why mean kinetic energy yields temperature.
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From:
report of Joseph Levine (Purple Haze [2001]) by David Papineau - Thinking about Consciousness 5.1
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A reaction:
Everything is mysterious if you think about if for long enough. What about a representational gap? Why do those neurons represent that tree (if the neurons aren't tree-shaped)? To understand qualia, we must understand the whole brain, I suspect.
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