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Single Idea 9341
[filed under theme 12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
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Full Idea
A priori knowledge of logic and mathematics cannot derive from meanings or concepts, because someone may possess such concepts, and yet disagree with us about them.
Gist of Idea
Meanings and concepts cannot give a priori knowledge, because they may be unacceptable
Source
Paul Horwich (Stipulation, Meaning and Apriority [2000], §12)
Book Ref
'New Essays on the A Priori', ed/tr. Boghossian,P /Peacocke,C [OUP 2000], p.169
A Reaction
A good argument. The thing to focus on is not whether such ideas are a priori, but whether they are knowledge. I think we should employ the word 'intuition' for a priori candidates for knowledge, and demand further justification for actual knowledge.
The
15 ideas
with the same theme
[a priori knowledge only arises from our concepts]:
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1824
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To name something, you must already have an idea of what it is
[Epicurus, by Diog. Laertius]
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2191
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Relations of ideas are known by thought, independently from the world
[Hume]
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18262
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For Kant analytic knowledge needs complex concepts, but the a priori can rest on the simple
[Coffa on Kant]
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5526
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With large numbers it is obvious that we could never find the sum by analysing the concepts
[Kant]
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16915
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A priori intuitions can only concern the objects of our senses
[Kant]
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4430
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All a priori knowledge deals with the relations of universals
[Russell]
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5411
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We can know some general propositions by universals, when no instance can be given
[Russell]
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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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13406
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A priori knowledge is analytic - the structure of our concepts - and hence unimportant
[Papineau]
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12389
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Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge
[Kitcher]
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9341
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Meanings and concepts cannot give a priori knowledge, because they may be unacceptable
[Horwich]
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9334
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If we stipulate the meaning of 'number' to make Hume's Principle true, we first need Hume's Principle
[Horwich]
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2727
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Red and green being exclusive colours seems to be rationally graspable but not analytic
[Audi,R]
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2728
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The concepts needed for a priori thought may come from experience
[Audi,R]
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17726
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Examining accurate, justified or grounded concepts brings understanding of the world
[Jenkins]
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