Combining Texts

All the ideas for 'Gödel's Proof', 'Against the Physicists (two books)' and 'Naming and Necessity notes and addenda'

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35 ideas

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 / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Parts are not parts if their whole is nothing more than the parts [Sext.Empiricus]
     Full Idea: If the whole is nothing more than the sum of the parts, the parts will not be parts.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.343)
     A reaction: Nice. Bricks lying on the ground are not parts of a wall. For them to be parts of a wall there has to be a wall which is not just the bricks. Nihilists like Van Inwagen can deny the wall in ontology, but in thought we need walls. Conceptual dependence.
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)
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Some say motion is perceived by sense, but others say it is by intellect [Sext.Empiricus]
     Full Idea: Some assert that motion is perceived by sense, but others that it is not perceived at all by sense but by the intellect through sensation.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], II.062)
     A reaction: Descartes' wax argument defends the idea that change is perceived by intellect. The intellect has to distinguish the relative aspect of each motion, such as when someone is walking around on a moving ship. Even sense also need memory.
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.
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
If we try to conceive of a line with no breadth, it ceases to exist, and so has no length [Sext.Empiricus]
     Full Idea: When we have gone so far as to deprive the length of its breadth altogether, we no longer conceive even the length, but along with the removal of the breadth the conception of the length is also removed.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.392)
     A reaction: The only explanation of our retaining an understanding of a line even after we have removed its breadth is that we have abandoned experience and conceptualised the line - by idealising it.
17. Mind and Body / D. Property Dualism / 4. Emergentism
The incorporeal is not in the nature of body, and so could not emerge from it [Sext.Empiricus]
     Full Idea: The incorporeal will never come into existence from body because the nature of the incorporeal does not exist in body.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.225)
     A reaction: So nothing high could be made of pebbles because pebbles are not high? His argument depends on incorporeality having an intrinsically incorporeal nature. Pebbles have some height which can be extended.
18. Thought / A. Modes of Thought / 5. Rationality / b. Human rationality
The human intellect has not been, and cannot be, fully formalized [Nagel/Newman]
     Full Idea: The resources of the human intellect have not been, and cannot be, fully formalized.
     From: E Nagel / JR Newman (Gödel's Proof [1958], VIII)
     A reaction: This conclusion derives from Gödel's Theorem. Some people (e.g. Penrose) get over-excited by this discovery, and conclude that the human mind is supernatural. Imagination is the key - it is a feature of rationality that escapes mechanization.
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.
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
A man walking backwards on a forwards-moving ship is moving in a fixed place [Sext.Empiricus]
     Full Idea: If a ship moves forward and a man carries a rod backwards on it, then it is possible for an object to move without quitting its place.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], II.056)
     A reaction: [summary of a verbose paragraph] The point is that you cannot define movement as change of place (contrary to Russell's proposal!). The concept of a place seems to be relative. Walking on a treadmill.
27. Natural Reality / D. Time / 2. Passage of Time / c. Tenses and time
Time doesn't end with the Universe, because tensed statements about destruction remain true [Sext.Empiricus]
     Full Idea: It is absurd to say that when the Universe is destroyed time does not exist; for the statement that it was destroyed once and that it is being destroyed are indicative of times.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], II.188)
     A reaction: Intriguing. He takes it that a proposition can be true even though nothing exists. This is not merely an affirmation of the tensed A-series view of time, but he even offers tenses as evidence that the A-series is correct. That time could cease was a view.
27. Natural Reality / D. Time / 3. Parts of Time / c. Intervals
Time is divisible, into past, present and future [Sext.Empiricus]
     Full Idea: Time cannot be indivisible, since it is divided into past, present and future.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], II.193)
     A reaction: Does the fact that you can name the parts of something prove that it is divisible? Do electrons have left and right-hand sides?
27. Natural Reality / D. Time / 3. Parts of Time / e. Present moment
Socrates either dies when he exists (before his death) or when he doesn't (after his death) [Sext.Empiricus]
     Full Idea: Socrates either dies when existing, or when not existing. …He does not die when he exists, for he is alive, and he does not die when he has died, for then he will be dying twice, which is absurd. So then, Socrates does not die.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.269)
     A reaction: A nice dramatisation of a major dilemma. The present moment is just the boundary between the past and the future, and so has no magnitude, and hence nothing can occur during the present. Perhaps my favourite philosophical dilemma.
If the present is just the limit of the past or the future, it can't exist because they don't exist [Sext.Empiricus]
     Full Idea: If the present is the limit of the past, and the limit of the past has passed away together with that of which it is the limit, the present no longer exists. And if the present begins the future, which doesn't exist, the present does not yet exist.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], II.201)
     A reaction: If I mark a line on the ground where the wall will begin, the limit seems prior to the object. The gun starts the race, but is not part of it. That said, I cannot think of any more mysterious entity than the present moment. It isn't a line or a bang.
28. God / A. Divine Nature / 2. Divine Nature
All men agree that God is blessed, imperishable, happy and good [Sext.Empiricus]
     Full Idea: All men have one common preconception about God, according to which he is a blessed creature and imperishable and perfect in happiness and receptive of nothing evil.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.033)
     A reaction: He observes this after he has pointed the enormous variety of religious beliefs. He offers this unanimity as a reason to believe that it is true.
God must suffer to understand suffering [Sext.Empiricus]
     Full Idea: God cannot have a notion of suffering if he has not experience it.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.163)
     A reaction: Christians like to portray God as suffering because of his son's horrible death. We can imagine experiences we have never had, and presumably God is better at that than we are.
28. God / A. Divine Nature / 3. Divine Perfections
The Divine must lack the virtues of continence and fortitude, because they are not needed [Sext.Empiricus]
     Full Idea: If the Divine is all-virtuous, it possesses all the virtues. But it does not possess the virtues of continence and fortitude unless there are certain things which are hard for God to abstain from and hard to endure.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.151)
     A reaction: Courage would also be unnecessary, we assume. Good people are not tempted to steal, and hence do not need to resist it. It is a mistake to attribute human virtues to the Divine. Humans lack the virtues of a good frog.
28. God / B. Proving God / 1. Proof of God
God is defended by agreement, order, absurdity of denying God, and refutations [Sext.Empiricus]
     Full Idea: Arguments for God have four modes: from universal agreement, from the orderly arrangement of the universe, from the absurd consequences of denying God, and from undermining the opposing arguments.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.060)
     A reaction: [compressed] The loss of status of the argument from universal agreement has had a huge influence. We now realise that a very wide consensus is no guarantee of truth in anything.
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
God's sensations imply change, and hence perishing, which is absurd, so there is no such God [Sext.Empiricus]
     Full Idea: If God has sensation he is altered, …so he is receptive of change, including change for the worse. If so, he is also perishable, but that is absurd; therefore it is absurd also to claim that God exists.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.146)
     A reaction: [compressed] It is certainly paradoxical to think that God is eternal and unchanging, but also capable of perception and thought, which necessitate change. Some theological ingenuity is needed to explain this.
God without virtue is absurd, but God's virtues will be better than God [Sext.Empiricus]
     Full Idea: If the Divine exists it either has or has not virtue. If it has not it is base and unhappy, which is absurd. But if it has it, there will exist something which is better than God, just as a virtue of a horse is better than the horse itself.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.176)
     A reaction: It is obviously better to think of a virtue as some mode of a thing, rather than as a separate attachment. This is an ontological argument, because it is inferred from the concept of God.
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The original substance lacked motion or shape, and was given these by a cause [Sext.Empiricus]
     Full Idea: They say that the substance of existing things being of itself motionless and shapeless must be put in motion and shape by some cause.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.075)
     A reaction: Interestingly, Sextus doesn't seem to think that the existence of the original substance also needs a cause. This substance sounds like a relative of Aristotle's Prime Matter. The source of motion isn't really a 'design' argument.
28. God / C. Attitudes to God / 4. God Reflects Humanity
The perfections of God were extrapolations from mankind [Sext.Empiricus]
     Full Idea: It is said that …the idea that God is eternal and imperishable and perfect in happiness was introduced by way of transference from mankind.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.045)
     A reaction: This view is found in Hume, and in Feuerbach. I presume 'transference' means extrapolation and idealisation. If God exists, we may have no option but to think of God anthropomorphically.
28. God / C. Attitudes to God / 5. Atheism
Gods were invented as watchers of people's secret actions [Sext.Empiricus]
     Full Idea: It is asserted that those who first led mankind …invented gods as watchers of all the sinful and righteous acts of men, so that none should dare to do wrong even in secret.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.016)
     A reaction: Sextus is a sceptic about everything, so this scepticism about the gods is nothing special. I'm not sure if this is why the gods were invented, but it seems to be the main role assigned to God by the Christian church, as the basis of religious morality.
An incorporeal God could do nothing, and a bodily god would perish, so there is no God [Sext.Empiricus]
     Full Idea: The Divine is not incorporeal, since that is inanimate and insensitive and incapable of any action; nor is it a body, since that is subject to change and perishable; so the Divine does not exist.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.151)
     A reaction: I find this quite persuasive. An incorporeal God has to be ascribed magical powers in order to interact with what is corporeal. A corporeal God is subject to entropy and all the depredations of the physical world.
29. Religion / A. Polytheistic Religion / 1. Animism
It is mad to think that what is useful to us, like lakes and rivers, are gods [Sext.Empiricus]
     Full Idea: To suppose that lakes and rivers, and whatsoever else is of a nature to be useful to us, are gods surpasses the height of lunacy.
     From: Sextus Empiricus (Against the Physicists (two books) [c.180], I.040)
     A reaction: He also points out the what is useful to us decays and changes. Sextus lived in a time when monotheism was becoming dominant.