I'm not sure why including more than integers would be the same kind of domain change as the one involving Socrates sitting. — J
The brightest star in the western evening sky might not be Hesperus - it might be Jupiter. But Hesperus must be Hesperus, and The Evening Star must be Hesperus... Well, being the evening star does not seem to be essential to Hesperus, or Venus. Not in the way that being made of wood is essential to the lectern in Identity and Necessity, or being H₂O (is that ok, ?) is essential to being water... If the lectern were ice, it would be a different lectern, if the liquid were not (mostly) H₂O, it would not be water. But if Venus were not the brightest star in the western evening, it would still be Venus.We seem to want the term to function both as a description and -- in upper case -- a name. — J
A question about this, though. "Necessity by accident" has an odd ring. Is the idea that, if "Socrates is currently sitting" is true, then as long as it remains true, it is necessarily the case that Socrates is sitting? The necessity would arise from the fact that there is only one way (allegedly) for a statement to be true, and that is by its stating something that is the case? I'm struggling to phrase the necessity in some understandable way -- maybe you can help.
"Man is an animal," in contrast, would be a good example of a Kripkean synthetic necessity. There is nothing analytic about the notion; it so happens, though, that we have discovered it to be true. And Kripke would go on to point out that we don't need this necessary truth in order to designate "man" -- we were able to do this quite well before we knew any science. Had it turned out that humans were not in fact animals, we would not have said, "Oh, we we were wrong in our identification of what a human is. We'd better call them doomans instead" Rather, we would have said, "We thought humans might be angelic or unique, but that is not so. They're still humans, just different from what we thought." (This is Kripke's "gold" example in a slightly different wording.)
It is perhaps becoming clear how two somewhat different uses of "necessity" are at work here. One has necessity as opposed to analyticity, the other has necessity as opposed to possibility. Early philosophy did not make this distinction, leading to difficulty. Aristotelian essentialism apparently does not differentiate analyticity from possibility.
Modern conceptions of modality in terms of possible worlds will probably be inadequate to capture these distinctions. — Count Timothy von Icarus
If you throw a rock through a window, it will necessarily break (physical necessity), but the window is not "necessarily broken" per se. — Count Timothy von Icarus
Perhaps we might use "tautology" only for analytic necessities, such as that there in every possible world there is a number greater than seven, and not for synthetic necessities, such as Hesperus = Venus? — Banno
The error here then is to supose any name may be substituted. What can be substituted salva veritate is a rigid designator. So much for singular terms.if S is a statement containing a referential occurrence of a name of 2, and S’ is formed from S by substituting any different name of Z, then S and S’ not only must be alike in truth value as they stand, but must stay alike in truth value even when ‘necessarily’ or ‘possibly’ is prefixed.
The error here is to think that analytic and necessary are the very same. So much for quantification.The crux of the trouble with (30) is that a number z may be uniquely determined by each of two conditions, for example, (32) and (33), which are not necessarily, that is, analytically, equivalent to each other.
"The sun must necessarily rise tomorrow"?
These necessities, if that is indeed what they are, seem very different from either "9 is necessarily greater than 7" or "Water is necessarily composed of H2O". Why would all three be described as "necessary"?
Those all seem like physical necessity to me. — Count Timothy von Icarus
"The sun must necessarily rise tomorrow"?
Why not exactly? To be sure, there might conceivably be something that could stop the sun from rising. — Count Timothy von Icarus
A large exo-planet could utterly destroy the Earth, leaving nothing for the sun to rise on I suppose. Perhaps similar cosmic-scale events could occur as well. But barring any of these, the sun will rise. To deny this would be to deny that the past determines the future, — Count Timothy von Icarus
The former case is necessary in the sense that the present appears to in some sense contain the future. Causes contain their effects in a way akin to how computational outputs are contained in the combination of input and function perhaps — Count Timothy von Icarus
You could consider "George Washington was the first President of the United States." Is it possible for this to become false? — Count Timothy von Icarus
But if something could stop the sun from rising -- or, in the case of the rock and window, prevent the rock from breaking the window -- why would we call the event "necessary"? You can of course stipulate that "necessity" can refer to something that is overwhelmingly likely, such as the sun rising tomorrow, but I can only reply that this isn't what discussions about necessity are usually about.
This is what I meant by ceteris paribus conditions. Sure, if certain conditions hold steady, then certain results will occur. This is the same as saying that in some possible worlds the sun will rise, while in others it may not -- which is hardly "necessity". This has nothing to do with denying that the past determines the future; if some unlikely intervening event occurs, that will be the past in that possible world.
Even phrasing it this way seems contrary to the idea of what "necessary" is supposed to mean, but let's grant it.
You want to say that, in our world, the sun rising tomorrow is physically necessary.
"The former case" refers to "9 is necessarily greater than 7", yes? Are you positing "7" as being in the present, and "9" in the future? And that 7 thus causes 9? I must not be understanding your meaning here.
Certainly. As Kripke helps us understand, this could become false in two different ways. 1) We might discover that someone else briefly held that office, but this fact was suppressed for conspiratorial purposes. 2) We might discover that the man who first held the office was not the man we designate as "George Washington". It turns out that the real George Washington was murdered as a young man, and replaced with an impostor.
These are absolutely ridiculous suppositions. But something doesn't become necessary just because the possible counterexamples are ridiculous. Necessity is supposed to mean that there are no counter-examples -- that it is not possible for the truth to be other than it is.
But if Venus were not the brightest star in the western evening, it would still be Venus.
"The brightest star in the western evening sky" is not a rigid designator, but "The Evening Star" is. — Banno
You might capture this in terms of accessibility, yes. The question then is if we might want some notion of physical necessity (i.e., related to changing, mobile being) as an explanatory notion. — Count Timothy von Icarus
Well, you could follow Quine and try to get rid of proper names and say that: "there is some X that gandalfizes." Spade's article, which is quite good, points out some of the ways in which Quine's approach is more similar to Platonism. The variable, being a sort of bare particular (substratum, bearer of haecceity) sort of takes on the role of matter (the chora), with properties fulfilling the role of forms. — Count Timothy von Icarus
Sheer "dubbing" runs into the absurdities of the "very same Socrates" who is alternatively Socrates, a fish, a coffee mug, Plato, a patch on my tire, or Donald Trump, in which case we might be perplexed as to how these can ever be "the very same" individual. — Count Timothy von Icarus
The problem with the broadly "Platonic" strategy is that it does indeed have difficulty explaining how particulars exist and if the substratum lying beneath them to which properties attach is either one or many. This is complicated even more by certain empiricist commitments that would seem to make proposing an unobservable, propertyless substratum untenable. Without this substratum though, you often end up with an ontology that supposes a sort of "soup" prior to cognition, with the existence of all "things" being the contingent, accidental creation of the mind (e.g. The Problem of the Many, the problems of ordinary objects, etc.). — Count Timothy von Icarus
Hence, the Aristotelian idea of particulars as more than bundles of properties, as possessing an internal principle of intelligibility, self-determination, and unity (although they are not wholly self-subsistent). — Count Timothy von Icarus
The problems of broadly Platonist approaches are perhaps less acute in philosophies with a notion of "vertical reality" (described quite well in Robert M. Wallace's books on Plato and Hegel). They seem particularly acute in physicalist ontologies that want to be "flat." — Count Timothy von Icarus
One solution is essentially hyper voluntarist theology with man swapped in for God. So, instead of "a deer is whatever God says it is," we get "a deer is whatever man says it is." — Count Timothy von Icarus
This just seems bizarre to me. A lie is true if enough people believe it and then becomes false when people discover it is false?
As misattribution is correct until it is corrected?
I don't recall Kripke ever advancing such a claim, but it would essentially amount to defaulting on truth being anything other than the dominant current opinion. — Count Timothy von Icarus
You could consider "George Washington was the first President of the United States." Is it possible for this to become false? — Count Timothy von Icarus
If it is not possible, then it is in some sense necessary. If you just look at frequency over possible worlds, where "possible worlds" gets loosely imagined as "whatever we can imagine" then it will be impossible to identify this sort of necessity though. But what then, are all facts about the past possibly subject to change in the future? — Count Timothy von Icarus
Is there a "possible world" where the sun didn't rise yesterday and we just think it did? Only for the radical skeptics. — Count Timothy von Icarus
You want to say that, in our world, the sun rising tomorrow is physically necessary.
I never said that though. I said that if conditions are sufficient to bring about the sun's rising then it will necessarily rise, and that this can be explained in terms of physical necessity in that things necessarily act according to their nature. — Count Timothy von Icarus
"The sun must necessarily rise tomorrow"?
Why not exactly? To be sure, there might conceivably be something that could stop the sun from rising. — Count Timothy von Icarus
"Venus" rigidly designates Venus becasue we choose it to work in that way; nothing more. We are using the word "Venus" to mean that exact same thing in every possible world in which Venus exists. There may be a causal chain leading to a baptism in the actual world, but there need not be any such causal chain in every world in which Venus exists. Once it's "picked out", it is designated rigidly. I'm not sure if this is what you are saying, of if it disagrees with what you are saying. So Theseus' ship may change completely, and yet it continues to make sense to refer to it as the Ship of Theseus, using that name as a rigid designator.What makes it rigidly designated? In every possible world Venus is X. But what is X? That "essentialness" of Venus? It is the causal conditions for which the term "Venus" is picked out amongst other things in the world. — schopenhauer1
Not so much. Causation is a whole other topic.The question then is if we might want some notion of physical necessity (i.e., related to changing, mobile being) as an explanatory notion. — Count Timothy von Icarus
This mixes a few different notions of necessity. First, it is not a necessary fact that George Washington was your first president (Assuming you are 'Mercan?). We can stipulate a possible worlds in which he just sold apples. But you add "become", and here we can use accessibility. We can stipulate that from any world in which Washington became your first president, only those worlds in which he was the first president are accessible - we stipulate a rule of accessibility. If we do this then it follows that from that world, all accessible worlds have Washington as your first president - for those worlds, necessarily, Washington was your first president. Doing this puts limitations on the worlds that are under consideration - as it should. One of those is that in no world in which he was your first president, could he not be your first president. This should be obvious from considerations of consistency... And it is not true in every possible world, since that would be a different stipulation.You could consider "George Washington was the first President of the United States." Is it possible for this to become false? If not, then it seems it is in some sense necessary, although it also seems to be something that was contingent in the past. A way this might be explained is to say that it is not possible for any potency to have both come into act and not come into act. So if Washington was the first president (and he was) this is necessary de dicto (although not de re, since president is not predicated of Washington per se). — Count Timothy von Icarus
It's down to accessibility.If "George Washington was the first US President" is true, and it is not possible for it to become false, it is in a sense necessary. — Count Timothy von Icarus
They need not be. Anything that can be given a proper name can be rigidly designated. Kinds, such as gold or H₂O, can also be rigidly designated. But again, while causality may be the answer to how it is that a name refers to an individual, once that link is established, the causal chain becomes unnecessary. So Hesperus = Phosphorus even though the casual chains to their baptism differ.Why must physical things be the only things to be rigidly designated? — schopenhauer1
But the problem then is that you have thrown the babe of rigid designation out with the bathwater of explaining reference.Well, you could follow Quine and try to get rid of proper names... — Count Timothy von Icarus
If someone were to misuse a term in this way, wouldn't that be apparent? Sure, someone could use "Socrates" to refer to some fish, but it would quickly become apparent that they were talking about something other than the philosopher. Doesn't "Deer" man whatever we choose it to? Note the collective "we".Sheer "dubbing" runs into the absurdities of the "very same Socrates" who is alternatively Socrates, a fish, a coffee mug, Plato, a patch on my tire, or Donald Trump, in which case we might be perplexed as to how these can ever be "the very same" individual. — Count Timothy von Icarus
Very much, yep. Essence remains unexplained, apart from the occasional hand wave to "x=x". So the best explanation we have is still from Kripke.Indeed, but what is this internal coherence? — schopenhauer1
Indeed, but what is this internal coherence? It's asserted but not explained other than its needed to say this object is this and not that.
Once it's "picked out", it is designated rigidly. I'm not sure if this is what you are saying, of if it disagrees with what you are saying. So Theseus' ship may change completely, and yet it continues to make sense to refer to it as the Ship of Theseus, using that name as a rigid designator. — Banno
They need not be. Anything that can be given a proper name can be rigidly designated. Kinds, such as gold or H₂O, can also be rigidly designated. But again, while causality may be the answer to how it is that a name refers to an individual, once that link is established, the causal chain becomes unnecessary. So Hesperus = Phosphorus even though the casual chains to their baptism differ. — Banno
Yes - accessibility again. Beans are such that if we would be successful bean famers we ought consider only those possible worlds in which beans need water. This is an issue of practicality rather than ontology. Think of physical necessity as pruning the tree of logically possible worlds...Yet watering your beans seems to be a necessary prerequisite for their growing in reality. — Count Timothy von Icarus
"What" is causing this rigidity of the designator? And thus I brought up what I think is integral to Kripke- the causal theory of reference. Thus the foundation seems to me, to be causality that is the root of this rigidity. — schopenhauer1
Ok, so if the causal chain becomes unnecessary, what makes it still a rigid designator? — schopenhauer1
Rigid designators are not discovered, they are stipulated. When one asks what the world might be like if Thatcher had lost her first election, one is stipulating a world in which, if anything, Thatcher exists in order to lose the election. The stipulation is what makes it a rigid designation. — Banno
This is choosing amongst a set of grammars - semantics - that we might make use of. — Banno
However, the convention doesn't convey where the rigid designation comes about. — schopenhauer1
Sorry, lets' try to be clear here - the rigid designation comes about as a result of the stipulation. That the name refers to the object might well be the result of a baptism and causal chain, btu that plays no part in the name being treated as a rigid designator.
So you can say Sam := X; then ask "In some possible world, what if Sam were not X?" And still be referring to Sam. — Banno
I guess what I mean then is how is it that the stipulation is constrained to "Sam" and not something else? — schopenhauer1
I don't see a problem here. "Sam" refers to Sam, "Washington" to Washington, that's just what we do with those words. If there is a problem as to which Sam or which Washington is being named, that may be sorted to our mutual satisfaction by having a chat. — Banno
I'm not seeing this as a problem for Quine, or for Kripke. It could as well be settled by saying "Ok, We'll call this one "Fred", and that one "Harry". Nothing to do with modality. — Banno
The mechanism is the stipulation.For Kripke, I would think there needs to be a mechanism for which the same word is necessarily that referent in all possible worlds. — schopenhauer1
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