Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Without Immediate Justification' and 'Clitophon'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Coherentists say that regress problems are assuming 'linear' justification [Williams,M]
     Full Idea: From the point of view of the coherentist, Agrippa's Dilemma fails because it presupposes a 'linear' conception of justifying inference.
     From: Michael Williams (Without Immediate Justification [2005], §2)
     A reaction: [He cites Bonjour 1985 for this view] Since a belief may have several justifications, and one belief could justify a host of others, there certainly isn't a simple line of justifications. I agree with the coherentist picture here.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Traditional foundationalism is radically internalist [Williams,M]
     Full Idea: Traditional foundationalism is radically internalist. The justification-making factors for beliefs, basic and otherwise, are all open to view, and perhaps even actual objects of awareness. I am always in a position to know that I know.
     From: Michael Williams (Without Immediate Justification [2005], §1)
     A reaction: This is a helpful if one is trying to draw a map of the debate. An externalist foundationalism would have to terminate in the external fact which was the object of knowledge (via some reliable channel), but that is the truth, not the justification.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
Basic judgements are immune from error because they have no content [Williams,M]
     Full Idea: Basic judgements threaten to buy their immunity from error at the cost of being drained of descriptive content altogether.
     From: Michael Williams (Without Immediate Justification [2005], §4)
     A reaction: This is probably the key objection to foundationalism. As you import sufficient content into basic experiences to enable them to actually justify a set of beliefs, you find you have imported all sorts of comparisons and classifications as well.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
Sensory experience may be fixed, but it can still be misdescribed [Williams,M]
     Full Idea: The fact that experiential contents cannot be other than they are, as far as sensory awareness goes, does not imply that we cannot misdescribe them, as in misreporting the number of speckles on a speckled hen (Chisholm's example).
     From: Michael Williams (Without Immediate Justification [2005], §4)
     A reaction: [Chisholm 1942 is cited] Such experiences couldn't be basic beliefs if there was a conflict between their intrinsic nature and the description I used in discussing them.
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
In the context of scepticism, externalism does not seem to be an option [Williams,M]
     Full Idea: In the peculiar context of the skeptical challenge, it is easy to persuade oneself that externalism is not an option.
     From: Michael Williams (Without Immediate Justification [2005], §3)
     A reaction: This is because externalism sees justification as largely non-conscious, but when faced with scepticism, the justifications need to be spelled out, and therefore internalised. So are sceptical discussions basic, or freakish anomalies?
22. Metaethics / B. Value / 2. Values / f. Altruism
The just man does not harm his enemies, but benefits everyone [Plato]
     Full Idea: First, Socrates, you told me justice is harming your enemies and helping your friends. But later it seemed that the just man, since everything he does is for someone's benefit, never harms anyone.
     From: Plato (Clitophon [c.372 BCE], 410b)
     A reaction: Socrates certainly didn't subscribe to the first view, which is the traditional consensus in Greek culture. In general Socrates agreed with the views later promoted by Jesus.