Combining Texts

All the ideas for 'The Case for Closure', 'Steps Towards a Constructive Nominalism' and 'Women of Trachis'

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6 ideas

8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
We renounce all abstract entities [Goodman/Quine]
     Full Idea: We do not believe in abstract entities..... We renounce them altogether.
     From: Goodman,N/Quine,W (Steps Towards a Constructive Nominalism [1947], p.105), quoted by Penelope Maddy - Defending the Axioms
     A reaction: Goodman always kept the faith here, but Quine decided to embrace sets, as a minimal commitment to abstracta needed for mathematics, which was needed for science. My sympathies are with Goodman. This is the modern form of 'nominalism'.
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
Commitment to 'I have a hand' only makes sense in a context where it has been doubted [Hawthorne]
     Full Idea: If I utter 'I know I have a hand' then I can only be reckoned a cooperative conversant by my interlocutors on the assumption that there was a real question as to whether I have a hand.
     From: John Hawthorne (The Case for Closure [2005], 2)
     A reaction: This seems to point to the contextualist approach to global scepticism, which concerns whether we are setting the bar high or low for 'knowledge'.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
How can we know the heavyweight implications of normal knowledge? Must we distort 'knowledge'? [Hawthorne]
     Full Idea: Those who deny skepticism but accept closure will have to explain how we know the various 'heavyweight' skeptical hypotheses to be false. Do we then twist the concept of knowledge to fit the twin desiderata of closue and anti-skepticism?
     From: John Hawthorne (The Case for Closure [2005], Intro)
     A reaction: [He is giving Dretske's view; Dretske says we do twist knowledge] Thus if I remember yesterday, that has the heavyweight implication that the past is real. Hawthorne nicely summarises why closure produces a philosophical problem.
We wouldn't know the logical implications of our knowledge if small risks added up to big risks [Hawthorne]
     Full Idea: Maybe one cannot know the logical consequences of the proposition that one knows, on account of the fact that small risks add up to big risks.
     From: John Hawthorne (The Case for Closure [2005], 1)
     A reaction: The idea of closure is that the new knowledge has the certainty of logic, and each step is accepted. An array of receding propositions can lose reliability, but that shouldn't apply to logic implications. Assuming monotonic logic, of course.
Denying closure is denying we know P when we know P and Q, which is absurd in simple cases [Hawthorne]
     Full Idea: How could we know that P and Q but not be in a position to know that P (as deniers of closure must say)? If my glass is full of wine, we know 'g is full of wine, and not full of non-wine'. How can we deny that we know it is not full of non-wine?
     From: John Hawthorne (The Case for Closure [2005], 2)
     A reaction: Hawthorne merely raises this doubt. Dretske is concerned with heavyweight implications, but how do you accept lightweight implications like this one, and then suddenly reject them when they become too heavy? [see p.49]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
Sophoclean heroes die terrible deaths when they oppose the new Athenian values [Sophocles, by Grayling]
     Full Idea: Sophocles has Ajax (in 'Ajax') and Hercules (in 'Trachiniae') die terrible deaths because of the opposition they represent to the values which are the new values of Periclean Athens.
     From: report of Sophocles (Women of Trachis [c.430 BCE]) by A.C. Grayling - What is Good? Ch.2
     A reaction: Presumably they are tragic heroes, who hence invite our sympathy, like Othello and Hamlet, who also die following an older moral code. It is only tragic if the code they follow has something 'higher' about it.