Combining Texts

All the ideas for 'There Are No Abstract Objects', 'On Sensations (frags)' and 'works'

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5 ideas

8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr]
     Full Idea: Just as there are no numbers or properties, there are no relations (like 'being heavier than' or 'betweenness'), or sets. I will provisionally use 'nominalism' for the conjunction of these four claims.
     From: Cian Dorr (There Are No Abstract Objects [2008], 1)
     A reaction: If you are going to be a nominalist, do it properly! My starting point in metaphysics is strong sympathy with this view. Right now [Tues 22nd Nov 2011, 10:57 am GMT] I think it is correct.
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
Natural Class Nominalism says there are primitive classes of things resembling in one respect [Dorr]
     Full Idea: Natural Class Nominalists take as primitive the notion of a 'natural' class - a class of things that all resemble one another in some one respect and resemble nothing else in that respect.
     From: Cian Dorr (There Are No Abstract Objects [2008], 4)
     A reaction: Dorr rejects this view because he doesn't believe in 'classes'. How committed to classes do you have to be before you are permitted to talk about them? All vocabulary (such as 'resemble') seems metaphysically tainted in this area.
10. Modality / A. Necessity / 11. Denial of Necessity
Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr]
     Full Idea: If there are abstract objects, there are necessary truths about these things that cannot be reduced to truths of logic. So only the nominalist, who denies that there are any such things, can adequately respect the idea that there are no brute necessities.
     From: Cian Dorr (There Are No Abstract Objects [2008], 4)
     A reaction: This is where two plates of my personal philosophy grind horribly against one another. I love nominalism, and I love natural necessities. They meet like a ring-species in evolution. I'll just call it a 'paradox', and move on (swiftly).
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
Conditionals are true if minimal revision of the antecedent verifies the consequent [Stalnaker, by Read]
     Full Idea: Stalnaker proposes that a conditional is true if its consequent is true in the minimal revision in which the antecedent is true, that is, in the most similar possible world in which the antecedent is true.
     From: report of Robert C. Stalnaker (works [1970]) by Stephen Read - Thinking About Logic Ch.3
     A reaction: A similar account of counterfactuals was taken up by Lewis to give a (rather dubious) account of causation.
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
That honey is sweet I do not affirm, but I agree that it appears so [Timon]
     Full Idea: That honey is sweet I do not affirm, but I agree that it appears so.
     From: Timon (On Sensations (frags) [c.285 BCE]), quoted by Diogenes Laertius - Lives of Eminent Philosophers 09.104-5