Combining Texts

All the ideas for 'Knowledge', 'Without Immediate Justification' and 'Reals by Abstraction'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The real numbers may be introduced by abstraction as ratios of quantities [Hale, by Hale/Wright]
     Full Idea: The real numbers may be introduced by abstraction as ratios of quantities. ..They are not defined by Dedekind cuts; rather, the cuts constitute a domain with the properties that are a necessary precondition.
     From: report of Bob Hale (Reals by Abstraction [1998]) by B Hale / C Wright - Intro to 'The Reason's Proper Study' 3.3
     A reaction: This is Hale's neo-logicist attempt to derive the real numbers from Hume's Principle.
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 / 3. Reliabilism / a. Reliable knowledge
Belief is knowledge if it is true, certain, and obtained by a reliable process [Ramsey]
     Full Idea: I have always said that a belief was knowledge if it was (i) true, (ii) certain, (iii) obtained by a reliable process.
     From: Frank P. Ramsey (Knowledge [1929]), quoted by Juan Comesaņa - Reliabilism 2
     A reaction: Remarkable to be addressing the Gettier problem at that date, but Russell had flirted with the problem. Ramsey says the production of the belief must be reliable, rather than the justification for the belief. Note that he wants certainty.
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?