I don't know - indeed, the question may well be useless. We don't need to know where time comes form in order to understand that force and energy involve time. What we might seek is consistency.Where did time come from then? — Corvus
No.Do you claim that time was given down by God to humanity? — Corvus
Nothing moves but that a period of time is involved. If it moves in zero time, the force involved would be infinite.But whether you bring in time or not, the object still moves by the force. — Corvus
Not at all. The notion of time being invented is a nonsense.Do you mean that before time was invented, the stones never fell from the high cliff down the river? — Corvus
Yes.Force and energy are both physical constructs. Time is part of the construction. — frank
But here we were talking about why the objects move. — Corvus
If you drop a stone from the top floor of 10m high building... it took 3 seconds for the stone to hit the ground. — Corvus
Force is defined as mass times acceleration, and acceleration is change in velocity over time. Energy is force times displacement. So both are inversely proportional to the square of the time taken - less time, more force, more energy.Objects move because of energy or force, not because of time. — Corvus
Modern conceptions of modality in terms of possible worlds will probably be inadequate to capture these distinctions. — Count Timothy von Icarus
If Santa can be fat without existing, then it does not follow that Santa exists from the presumption of his girth. — noAxioms
So the set of integers necessarily exists because the set isn't empty? — noAxioms
That's not what was said. But also, I adopted "set" only becasue you used the word, and sets are not predicates - treating them as such causes problems.but the existence of x in a set does not make the set exist — noAxioms
to which you replied:So instead of parsing "There is no such thing as Pegasus" as Pegasus not having the property of existence, ~∃!(Pegasus), we pars it as there not being any thing that is Pegasus: ~∃(x)(x is pegasus). — Banno
There is good reason for using ~(∃x). It shows the quantifier and the negation are seperate operations. Pegasus is a mythical horse, is it not? And therefore, we might conclude (by existential generalisation) that there are mythical horses? We can make such a generalisations, hence there is something that is pegasus - the mythical horse. Of course, you will not meet Pegasus at the stables, but in the story of Perseus.This seems to reference a predicate of 'being', but the ∄ part is still existential quantification, no? It isn't a relation to Sydney this time, but more of an objective E1 sort of membership. Nothing in reality 'is Pegasus'. — noAxioms
So did I.I thought Banno tagged me for chitchat reasons. — fdrake
Not quite, I think. Rather, apparent differences in belief, and therefore apparent conceptual differences, are in the main differences in expression. Suitable re-expressions, reinterpretations, may be able to make this apparent.I have a question for you. Am I right to understand Davidson's thesis as being that conceptual differences come down to different beliefs, and that, at some point, the differences can be settled empirically? — Ludwig V
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
Notice that this is not at all the same thing as saying, "You can't understand 'water' without knowing that water is composed of H20". Necessity, as Kripke shows us, may be a feature of either analytic or synthetic statements. So what gives "number" its peculiar type of analyticity? If statements like (3) are not true by tautology, but nor is math empirical . . . what's the best account? Would we be better off, for instance, with an argument that shows that any number x can't be the greatest number because there is no such thing? — J
(31) (∃x)(necessarily if there is life on the Evening Star then there is life on x) — p.147
Similarly, (31) was meaningless because the sort of thing x which fulfills the condition:
(34) If there is life on the Evening Star then there is life on x,
namely, a physical object, can be uniquely determined by any of various conditions, not all of which have (34) as a necessary consequence. Necessary fulfillment of (34) makes no sense as applied to a physical object x; necessity attaches, at best, only to the connection between (34) and one or another particular means of specifying x. — p.149
So are there referentially opaque modal contexts? By that we might understand, are there modal contexts were substitution salva veritate fails?In a word, we cannot in general properly quantify into referentially opaque contexts. — p.148
Might be worth considering this article, perhaps after Quine. On a quick look it seems more polemic than analytic. On my browser pp40-41are missing. But perhaps we will find the answer to the question I;ve been asking for a few threads now, what exactly is an essence?David Oderberg also writes a fair bit on this topic, e.g. "How to Win Essence Back from Essentialists." — Leontiskos
Been too busy to reply quickly again. — noAxioms
Extensionally, Sydney just is the set of stuff that is in Sydney. So as long as there is stuff in Sydney - the set "in Sydney" is not empty - we can't say Sydney doesn't exist.Sydney seems not required to exist (E1, almost a platonic definition) for this to be true, just as the number 91 does not require 13 to exist (E1) for it to have the property of not being prime, but it does require 13 to exist (existential quantification) in order to have the property of not being prime. So for one, we seem to be referencing more than one defniition of existence, and E1 seems to be a property. — noAxioms
Yep. Is Pegasus in the domain, or not? If Pegasus is in the domain then we can use existential generalisation to talk about Pegasus - Pegasus sprang from the blood of medusa, therefore something sprang from the blood of Medusa.This presumes a sort of reality with a list of stuff that is part of it, and there not being Pegasus on that list. — noAxioms
Oh I thought this was the shoutbox, my bad. — fdrake
Indeed; as a great writer once put it,My passing heralds the end of days. — fdrake
Therein lies the rub, if one sacrifices one’s moral imagination against systemic injustice on the altar of practicality, one exculpates all evils. — fdrake
...will accept and learn from criticism....genuine philosophic students... — Corvus
I missed your post, my apologies.Not because such a reading (there existing a winner of all possible plays of the game or a richest in all worlds or a greater than 7 in all worlds) is self-evidently non-sensical but because it has arisen through referential opacity, and hence behaves incoherently. — bongo fury
And it seems clear that even if Fred Smith is the winner, he is not the winner in every possible world, and so it is not true that there is a player (who happens to be Fred) for whom it is necessarily true that they are the winner....one player of whom it may be said to be necessary that he win. — Quine p.147
I suspect that this is how Quine pictures his criticism... much more depth is needed here. We will need to go over Kripke's solution again, and how rigid designation fixes the same individual in multiple possible worlds, each in effect a different domain.As Quine explains it, doesn't the collapse occur regardless of the domain? It has to do with existential generalization itself, no? But maybe I'm missing it. — J
andThe point here is that, the OP created on the first day doesn't exist. It exists as OP with different properties — Corvus
YetTime doesn't exist. — Corvus
I never claimed time doesn't exist. — Corvus
and(9) Philip is unaware that Tully denounced Catiline
But Philip is aware that Cicero denounced Catiline. What he is unaware of is that Cicero and Tully are the same person. The difficulty here is the misfiring of the reference.(29) Something is such that Philip is unaware that it denounced Catiline
will result in modal collapse if the domain includes more than integers. In a modal context substitution will maintain truth, provided that we keep track of the domains and individuals being addressed, and hence the accessibility between possible worlds. This is not the case in attitudinal opacity...(30) (∃x)(x is necessarily greater than 7)
This: “without minds, there are no possible worlds" is what Corvus is maintaining. He thinks it a counter you your “It is possible for there to be a world without minds”. Of course, it isn't.Did you mean "your “without minds, there are no possible worlds”"? — Janus
andThe point here is that, the OP created on the first day doesn't exist. It exists as OP with different properties — Corvus
YetTime doesn't exist. — Corvus
I never claimed time doesn't exist. — Corvus
The point here was about logic, — Corvus
Hence the logical importance of the fact that all singular terms, aside from the variables that serve as pronouns in connection with quantifiers, are dispensable and eliminable by paraphrase.
We saw in §1 that referential opacity can obstruct substitutivity of identity. We now see that it also can interrupt quantification: quantifiers outside a referentially opaque construction need have no bearing on variables inside it.
