Combining Texts

All the ideas for 'The Sign of Four', 'Naming and Necessity notes and addenda' and 'Neutral Relations'

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20 ideas

8. Modes of Existence / A. Relations / 1. Nature of Relations
The 'standard' view of relations is that they hold of several objects in a given order [Fine,K]
     Full Idea: The 'standard' view of relations, held by philosophers and logicians alike, is that we may meaningfully talk of a relation holding of several objects in a given order (which works for examples like 'loves' and 'between').
     From: Kit Fine (Neutral Relations [2000], Intro)
     A reaction: The point of Fine's paper is that there are many relations for which this model seems to fail.
The 'positionalist' view of relations says the number of places is fixed, but not the order [Fine,K]
     Full Idea: The 'positionalist' view of relations is that each relation is taken to be endowed with a given number of argument places, or positions, in no specified order. [...The argument-places are specific entities, such as 'lover' and 'beloved']
     From: Kit Fine (Neutral Relations [2000], Intro)
     A reaction: Fine offers this as an alternative to the 'standard' view of relations, in which the order of the objects matters. He then adds, and favours, the 'anti-positionalist' view, where there are not even a fixed number of places.
A block on top of another contains one relation, not both 'on top of' and 'beneath' [Fine,K]
     Full Idea: If block a is on block b, it is hard to see how this state of affairs might consist of both 'on top of' and 'beneath'. Surely if the state is a genuine relational complex, there must be a single relation for these relata?
     From: Kit Fine (Neutral Relations [2000], 1)
     A reaction: He has already shown that if such relations imply their converses, then that gives you two separate relations. He goes on to observe that you cannot pick one of the two as correct, because of symmetry. He later offers the 'vertical placement' relation.
Language imposes a direction on a road which is not really part of the road [Fine,K]
     Full Idea: Roads in the directional sense (A-to-B or B-to-A) are merely roads in the adirectional sense up which a direction has been imposed.
     From: Kit Fine (Neutral Relations [2000], 1)
     A reaction: This is Fine's linguistic objection to the standard view of relations. It is undeniable that language imposes an order where it may not exist ('Bob and Jane play tennis'), and this fact is very significant in discussing relations.
Explain biased relations as orderings of the unbiased, or the unbiased as permutation classes of the biased? [Fine,K]
     Full Idea: A 'biased' relation can be taken to be the result of imposing ordering on the argument-places of an unbiased relation, ..or we can take an unbiased relation to be a 'permutation class' of biased relations. This is a familiar metaphysic predicament.
     From: Kit Fine (Neutral Relations [2000], 3)
     A reaction: 'Biased' relations such as 'on top of' have an ordering to their places, but 'unbiased' relations such as 'vertical placement' do not. This is a nice question in the metaphysics of grounding relations between key concepts.
9. Objects / A. Existence of Objects / 5. Simples
We might fix identities for small particulars, but it is utopian to hope for such things [Kripke]
     Full Idea: Maybe strict identity only applies to the particulars (the molecules) in a case of vague identity. …It seems, however, utopian to suppose that we will ever reach a level of ultimate, basic particulars for which identity relations are never vague.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], note 18)
     A reaction: I agree with this. Ladyman and Ross laugh at the unscientific picture found in dreams of 'simples'.
9. Objects / C. Structure of Objects / 6. Constitution of an Object
A different piece of wood could have been used for that table; constitution isn't identity [Wiggins on Kripke]
     Full Idea: Could the artificer not, when he made the table, have taken other pieces? Surely he could. [n37: I venture to think that Kripke's argument in note 56 for the necessity of constitution depends on treating constitution as if it were identity].
     From: comment on Saul A. Kripke (Naming and Necessity notes and addenda [1972], note 56) by David Wiggins - Sameness and Substance Renewed 4.11
     A reaction: Suppose the craftsman completed the table, then changed a piece of wood in it for some reason. Has he now made a second table and destroyed the first one? Wiggins seems to be right.
9. Objects / F. Identity among Objects / 5. Self-Identity
A relation can clearly be reflexive, and identity is the smallest reflexive relation [Kripke]
     Full Idea: Some philosophers have thought that a relation, being essentially two-termed, cannot hold between a thing and itself. This position is plainly absurd ('he is his own worst enemy'). Identity is nothing but the smallest reflexive relation.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], note 50)
     A reaction: I have no idea what 'smallest' means here. I can't be 'to the left of myself', so not all of my relations can be reflexive. I just don't understand what it means to say something is 'identical with itself'. You've got the thing - what have you added?
9. Objects / F. Identity among Objects / 9. Sameness
A vague identity may seem intransitive, and we might want to talk of 'counterparts' [Kripke]
     Full Idea: When the identity relation is vague, it may seem intransitive; a claim of apparent identity may yield an apparent non-identity. Some sort of 'counterpart' notion may have some utility here.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], note 18)
     A reaction: He firmly rejects the full Lewis apparatus of counterparts. The idea would be that a river at different times had counterpart relations, not strict identity. I like the word 'same' for this situation. Most worldly 'identity' is intransitive.
10. Modality / A. Necessity / 7. Natural Necessity
What many people consider merely physically necessary I consider completely necessary [Kripke]
     Full Idea: My third lecture suggests that a good deal of what contemporary philosophy regards as mere physical necessity is actually necessary tout court.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], Add (g))
     A reaction: He avoids the term 'metaphysically necessary', which most people would not use for this point.
What is often held to be mere physical necessity is actually metaphysical necessity [Kripke]
     Full Idea: My third lecture suggests that a good deal of what contemporary philosophy regards as mere physical necessity is actually necessary 'tout court'.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], Add (g))
     A reaction: This huge claim rides in on the back of Kripke's very useful clarifications. It is the 'new essentialism', and seems to me untenable in this form. There is no answer to Hume's request for evidence of necessity. Why can't essences (and laws) change?
10. Modality / B. Possibility / 1. Possibility
Unicorns are vague, so no actual or possible creature could count as a unicorn [Kripke]
     Full Idea: If the unicorn myth is supposed to be a particular species, with insufficient internal structure to determine it uniquely, then there is no actual or possible species of which we can say that it would have been the species of unicorns.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], Add (a))
     A reaction: Dummett and Rumfitt discuss this proposal elsewhere.
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds are useful in set theory, but can be very misleading elsewhere [Kripke]
     Full Idea: The apparatus of possible worlds has (I hope) been very useful as far as the set-theoretic model-theory of quantified modal logic is concerned, but has encouraged philosophical pseudo-problems and misleading pictures.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], note 15)
     A reaction: This is presumably a swipe at David Lewis, who claims possible worlds are real. The fact that the originator of possible worlds sees them as unproblematic doesn't mean they are. Fine if they are a game, but if they assert truth, they need a metaphysics.
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
Kaplan's 'Dthat' is a useful operator for transforming a description into a rigid designation [Kripke]
     Full Idea: It is useful to have an operator which transforms each description into a term which rigidly designates the object actually satisfying the description. David Kaplan has proposed such an operator and calls it 'Dthat'.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], note 22)
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
The best known objection to counterparts is Kripke's, that Humphrey doesn't care if his counterpart wins [Kripke, by Sider]
     Full Idea: The most famous objection to counterparts is Kripke's objection that Hubert Humphrey wouldn't care if he thought that his counterpart might have won the 1972 election. He wishes that he had won it.
     From: report of Saul A. Kripke (Naming and Necessity notes and addenda [1972], note 12) by Theodore Sider - Reductive Theories of Modality 3.10
     A reaction: Like Sider, I find this unconvincing. If there is a world in which I don't exist, but my very close counterpart does (say exactly me, but with a finger missing), I am likely to care more about such a person than about complete strangers.
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
The a priori analytic truths involving fixing of reference are contingent [Kripke]
     Full Idea: If statements whose a priori truth is known via the fixing of a reference are counted as analytic, then some analytic truths are contingent.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], note 63)
14. Science / C. Induction / 1. Induction
If you eliminate the impossible, the truth will remain, even if it is weird [Conan Doyle]
     Full Idea: When you have eliminated the impossible, whatever remains, however improbable, must be the truth.
     From: Arthur Conan Doyle (The Sign of Four [1890], Ch. 6)
     A reaction: A beautiful statement, by Sherlock Holmes, of Eliminative Induction. It is obviously not true, of course. Many options may still face you after you have eliminated what is actually impossible.
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
I regard the mind-body problem as wide open, and extremely confusing [Kripke]
     Full Idea: I regard the mind-body problem as wide open, and extremely confusing.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], note 77)
     A reaction: Kripke opposes reductive physicalism, but is NOT committed to dualism. He seems to be drawn to Davidson or Nagel (see his note 73). I think his discussion of contingent mind-brain identity is confused.
19. Language / B. Reference / 3. Direct Reference / c. Social reference
A description may fix a reference even when it is not true of its object [Kripke]
     Full Idea: In some cases an object may be identified, and the reference of a name fixed, using a description which may turn out to be false of its object.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], note 34)
     A reaction: This is clearly possible. Someone could be identified as 'the criminal' when they were actually innocent. Nevertheless, how do you remember which person was baptised 'Aristotle' if you don't hang on to a description, even a false one?
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
Even if Gödel didn't produce his theorems, he's still called 'Gödel' [Kripke]
     Full Idea: If a Gödelian fraud were exposed, Gödel would no longer be called 'the author of the incompleteness theorem', but he would still be called 'Gödel'. The description, therefore, does not abbreviate the name.
     From: Saul A. Kripke (Naming and Necessity notes and addenda [1972], note 37)
     A reaction: Clearly we can't make the description a necessary fact about Gödel, but that doesn't invalidate the idea that successful reference needs some description. E.g. Gödel is a person.