Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'The Idea of Equality' and 'Reference and Essence (1st edn)'

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11 ideas

2. Reason / D. Definition / 11. Ostensive Definition
Ostensive definitions needn't involve pointing, but must refer to something specific [Salmon,N]
     Full Idea: So-called ostensive definitions need not literally involve ostension, e.g. pointing, but they must involve genuine reference of some sort (in this case reference to a sample of water).
     From: Nathan Salmon (Reference and Essence (1st edn) [1981], 4.11.2)
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
S4, and therefore S5, are invalid for metaphysical modality [Salmon,N, by Williamson]
     Full Idea: Salmon argues that S4 and therefore S5 are invalid for metaphysical modality.
     From: report of Nathan Salmon (Reference and Essence (1st edn) [1981], 238-40) by Timothy Williamson - Modal Logic within Counterfactual Logic 4
     A reaction: [He gives references for Salmon, and for his own reply] Salmon's view seems to be opposed my most modern logicians (such as Ian Rumfitt).
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
     Full Idea: The Axiom of Reducibility is self-effacing: if it is true, the ramification it is meant to cope with was pointless to begin with.
     From: Willard Quine (Introduction to Russell's Theory of Types [1967], p.152), quoted by Penelope Maddy - Naturalism in Mathematics I.1
     A reaction: Maddy says the rejection of Reducibility collapsed the ramified theory of types into the simple theory.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
Essentialism says some properties must be possessed, if a thing is to exist [Salmon,N]
     Full Idea: The metaphysical doctrine of essentialism says that certain properties of things are properties that those things could not fail to have, except by not existing.
     From: Nathan Salmon (Reference and Essence (1st edn) [1981], 3.8.2)
     A reaction: A bad account of essentialism, and a long way from Aristotle. It arises from the logicians' tendency to fix objects entirely in terms of a 'flat' list of predicates (called 'properties'!), which ignore structure, constitution, history etc.
19. Language / B. Reference / 1. Reference theories
Frege's 'sense' solves four tricky puzzles [Salmon,N]
     Full Idea: Reference via sense solves Frege's four puzzles, of the informativeness of identity statements, the failure of substitutivity in attitude contexts, of negative existentials, and the truth-value of statements using nondenoting singular terms.
     From: Nathan Salmon (Reference and Essence (1st edn) [1981], 1.1.1)
     A reaction: These must then be compared with Kripke's three puzzles about referring via sense, and the whole debate is then spread before us.
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
The perfect case of direct reference is a variable which has been assigned a value [Salmon,N]
     Full Idea: The paradigm of a nondescriptional, directly referential, singular term is an individual variable. …The denotation of a variable… is semantically determined directly by the assignment of values.
     From: Nathan Salmon (Reference and Essence (1st edn) [1981], 1.1.2)
     A reaction: This cuts both ways. Maybe we are muddling ordinary reference with the simplicities of logical assignments, or maybe we make logical assignments because that is the natural way our linguistic thinking works.
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Equality of opportunity without equality of respect would create a very inhuman society [Williams,B]
     Full Idea: A highly rational, efficient and unmitigated application of the idea of equality of opportunity, while abandoning the idea of equality of respect as vague and nostalgic, would lead to a quite inhuman society.
     From: Bernard Williams (The Idea of Equality [1962], §3)
25. Social Practice / B. Equalities / 1. Grounds of equality
Equality seems to require that each person be acknowledged as having a significant point of view [Williams,B]
     Full Idea: Equality seems to require that each person is owed an effort at identification; they should not be seen as a surface to which a label can be applied, but one should try to see the world (including the label) from their point of view.
     From: Bernard Williams (The Idea of Equality [1962], §2)
Equality implies that people are alike in potential as well as in needs [Williams,B]
     Full Idea: Supporters of equality have asserted that people are alike in certain things they could do or achieve, as well as in the things that they need and could suffer.
     From: Bernard Williams (The Idea of Equality [1962], §2)
25. Social Practice / B. Equalities / 4. Economic equality
It is a mark of extreme exploitation that the sufferers do not realise their plight [Williams,B]
     Full Idea: It is a mark of extreme exploitation or degradation that those who suffer it do NOT see themselves differently from the way they are seen by the exploiters.
     From: Bernard Williams (The Idea of Equality [1962], §2)
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
Nothing in the direct theory of reference blocks anti-essentialism; water structure might have been different [Salmon,N]
     Full Idea: There seems to be nothing in the theory of direct reference to block the anti-essentialist assertion that the substance water might have been the very same entity and yet have had a different chemical structure.
     From: Nathan Salmon (Reference and Essence (1st edn) [1981], 6.23.1)
     A reaction: Indeed, water could be continuously changing its inner structure, while retaining the surface appearance that gets baptised as 'water'. We make the reasonable empirical assumption, though, that structure-change implies surface-change.