Combining Texts

All the ideas for 'works', 'Mathematics and Indispensibility' and 'There is immediate Justification'

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8 ideas

5. Theory of Logic / G. Quantification / 2. Domain of Quantification
De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]
     Full Idea: In 1846 De Morgan introduced the enormously influential notion of a possibly arbitrary and stipulated 'universe of discourse'. It replaced Boole's original - and metaphysically a bit suspect - universe of 'all things'.
     From: report of Augustus De Morgan (works [1846]) by Michal Walicki - Introduction to Mathematical Logic History D.1.1
     A reaction: This not only brings formal logic under control, but also reflects normal talk, because there is always an explicit or implicit domain of discourse when we talk. Of virtually any conversation, you can say what it is 'about'.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
All scientific tests will verify mathematics, so it is a background, not something being tested [Sober]
     Full Idea: If mathematical statements are part of every competing hypothesis, then no matter which hypothesis comes out best in the light of observations, they will be part of the best hypothesis. They are not tested, but are a background assumption.
     From: Elliott Sober (Mathematics and Indispensibility [1993], 45), quoted by Charles Chihara - A Structural Account of Mathematics
     A reaction: This is a very nice objection to the Quine-Putnam thesis that mathematics is confirmed by the ongoing successes of science.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
An experience's having propositional content doesn't make it a belief [Pryor]
     Full Idea: To say that experiences have propositional content is not to say that experiences are beliefs.
     From: James Pryor (There is immediate Justification [2005], §4)
     A reaction: This is important for opponents of foundationalism, because they will not allow a raw experience to act as a justification on its own. Even if concepts, or even propositions, are offered by experience, the crucial evaluation must preceded knowledge.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
The best argument for immediate justification is not the Regress Argument, but considering examples [Pryor]
     Full Idea: The best argument for immediate justification is not the Regress Argument, but from considering examples, such as I have a headache, I am raising my arm, I am imagining my grandmother, or seeing how dominoes could fill a chessboard.
     From: James Pryor (There is immediate Justification [2005], §3)
     A reaction: Most of his examples depend on the fact that they cannot be challenged by anyone else, because they are within his own mind. The dominoes require complex thought. The first two could be erroneous if he was dreaming.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Impure coherentists accept that perceptions can justify, unlike pure coherentists [Pryor]
     Full Idea: Pure coherentists claim that a belief can only be justified by its relations to other beliefs; impure coherentists are willing to give some non-beliefs, such as perceptual experiences, a justifying role.
     From: James Pryor (There is immediate Justification [2005], §4)
     A reaction: I think I would vote for the pure version. The distinction that is needed, I think, is between justification and evidence. You have to surmise causal links and explanations before you can see an experience as evidence, and then justification.
Coherentism rests on the claim that justifications must be beliefs, with propositional content [Pryor]
     Full Idea: The Master Argument for coherentism is the claim that a justifier requires asserted propositional content, and that only beliefs represent propositions assertively.
     From: James Pryor (There is immediate Justification [2005], §4)
     A reaction: I think this claim (which Pryor attacks) is correct. A key point is that almost any experience can be delusional, and in need of critical evaluation. We would even only accept an experience as being necessarily veridical after critical evaluation.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Reasons for beliefs can be cited to others, unlike a raw headache experience [Pryor]
     Full Idea: If you have reasons for your belief, they should be considerations you could in principle cite, or give, to someone who doubted or challenged the belief. You can't give some else a non-propositional state like a headache.
     From: James Pryor (There is immediate Justification [2005], §6)
     A reaction: On the whole I agree, but if someone asked you to justify your claim that there is a beautiful sunset over the harbour, you could just say 'Look!'. Headaches are too private. The person must still see that the sunset is red, and not the window.
13. Knowledge Criteria / C. External Justification / 5. Controlling Beliefs
Beliefs are not chosen, but you can seek ways to influence your belief [Pryor]
     Full Idea: Ordinarily we make no intentional choices about what to believe, but one can choose to believe something, and then seek ways to get oneself to believe it.
     From: James Pryor (There is immediate Justification [2005], §7)
     A reaction: Deliberately reading the articles of a philosopher that you seem to agree with would be an example. Presumably the belief that this is a good belief and should be given support is not itself voluntarily chosen. Ultimately we are helpless. See Idea 1854.