SO we have :
Classical logic
Existence is not a first order predicate
All singular term refer to members of the domain
The domain is not empty
Free logic
Existence is a first order predicate, and hence
Singular terms can refer to things which are not members of the domain
The domain is not empty
Inclusive logic
Existence is a first order predicate, and hence
Singular terms can refer to things which are not members of the domain
The domain may be empty — Banno
Sure.Note the passage you quote was given as an objection to Rödl. — Wayfarer
:wink: Never gonna happen.“Banno goes PoMo”. — Wayfarer
The dawn of a new day.Quine may be saying little more than that terms are inscrutable apart from context ("holism"). — Leontiskos
My thought of judging that things are so is a different act of the mind from my judging that they are so. The former is about my judgment, a psychic act, a mental state; the latter, in the usual case, is not; it is about something that does not involve my judgment, my mind, my psyche. It is about a mind-independent reality.
— Rodl, 38, my emphases — J
Take out determinate and I don't think Quine would disagree. Sometimes we may be mistaken as to what someone is referring to, but the gavagai fable shows that we might still get our rabbit stew.That people "get on" does not negate the fact that "rabbit" and "New York City," or "Donald Trump" are notdeterminantreferences referring to a particular species, municipality, or person. — Count Timothy von Icarus
Yes, close to it.This conversation is the heart of philosophy. — Fire Ologist
This is close to the sort of mystical view attributed to Wittgenstein, especially after the Tractatus, where he developed a precise logical language and then concluded that what is most important is what remains unsaid.I think the best language to speak standing on this precipice is mystical, sort of pre-logical. — Fire Ologist
It wasn't an objection. Minutes after I posted I re-wrote that as:...this objection... — Leontiskos
I am agreeing with what Bunge says here, becasue it seems to me to be much the same as what Quine says, but in set-theoretical language. That would explain why Quine was so impressed.The trouble Bunge draws attention to starts when... — Banno
There views are very, very similar. Quine was also critical of "psychoanalysis, phenomenology, existentialism", and was overtly scientistic.Quine himself thought very highly of Bunge — Arcane Sandwich
There's obvious and well-known problems with the set of all sets, so presumably Bung had a way to deal with this. He says the set of all things, so does he explicitly disallow sets of sets?DEFINITION 3.30 Let Θ be the set of all things and [Θ] its aggregation. — Bunge (1977: 161)
And here he sensible removes empty sets. Can I point out that this is very close (perhaps identical?) to a set-theoretical version of Quine's "to be is to be the value of a bound variable"?A property P is real = df There is at least one individual x ∈ S, other than the null individual, that possesses P (equivalently: (P) ≠ ∅). — Bunge (1977: 99)
This is excellent. The trouble Bunge draws attention to starts when "Some sirens are beautiful" is treated as a non-empty set; and the conclusion is reached that there are beautiful sirens". A good example for us to work with. And the answer given is much the same as that offered by first-order logic. If our domain is the set of physical things, there are not sirens. But if our domain is Greek myths, we are welcome to say that "There are beautiful sirens", on the condition that we do not thereby expect them to be physical - we won't mee them on the street.Surely most contemporary philosophers hold that ∃ formalizes both the logical concept "some" and the ontological concept of existence. I shall argue that this is a mistake. Consider the statement "Some sirens are beautiful", which can be symbolized "(∃x)(Sx & Bx)". So far so good. The trouble starts when the formula is read "There are beautiful sirens". The existential interpretation is misleading because it suggests belief in the real existence of sirens, while all we intended to say was "Some of the sirens existing in Greek mythology are beautiful". — Bunge (1977: 155)
Yep.In analyzing the way a cat interacts with the world, we translate it into human. — frank
Well, if Joe is consistent, he will agree that water is H2O. Perhaps he will say something like "I know water is dihydrogen monoxide, but it's not H2O"? In which case the issue is not with his belief about water but his belief about the equivalence of "dihydrogen monoxide"and H2O. And we are back to the extensional opacity of beliefs.If I say of Joe, 'He believes that water is H20', when "believes" is understood to refer to background belief of Joe's that he is not currently entertaining, am I ascribing a propositional attitude to him? — J
Form the last few post, it's too late.No psychologism :razz: — J
There is an x such that x has not been conceived. Clearly a quantification."There are things that exist which we have never conceived." — Leontiskos
There is no need to presume that in order to be "attached" to a variable, a thing must first be "conceived of". To "conceive of" things that have not been conceived of is to make them available for "attachment".There are things that exist which are not attached to any variable. — Leontiskos
Which Quine builds in to his account, using Holism, and which Davidson extends with Charity....we must engage an understanding of existence that goes beyond our own narrows ideas — Leontiskos
The democrats are convincing young girls that being a liberal means that you have an higher IQ than the rest of the society/world, though all the data show that since 1975 (when the liberals and pacifists took over the western world) IQ has dropped sharply, — Eros1982
Who'd like to take me up on a bet that in 4 years nothing of particular note will have happened, — Tzeentch
Sorry, still trying to eliminate duplication. — kazan
In particular, I'm still troubled by background beliefs. If I say, "I [background] believe that the earth is round," what am I claiming? — J
...quantification is only one part of the explanation offered - it includes predication and equivalence and domains of discourse. Quantification tells Brutus and Cassius that we can talk about ghosts. Predication might be used to further say that ghosts are immaterial, imaginary or superstition. Cassius is mistaking quantification for predication. — Banno
Perhaps they are a folk=psychology term for a reward function being processed in our neural nets...Do beliefs have an ontology? — J
Maybe belief is a psychological construct. It's something unobservable, but we use it to explain and predict behavior. I think the more complex the behavior is, the more likely it is that we'll explain it in terms of belief. Simple behavior could be instinct, but something like plotting revenge needs propositions for the explanation. — frank
Both the reward function an the belief are understood and inferred from behaviour and outcomes. The reward function might indeed be an analogue, model or metaphor for belief. I'm not sure I would call them equivalent, but I might be convinced."What are beliefs?" — J
In demonstrating that France’s leaders actively sought collaboration with the Nazis and that much of the public initially supported them, he showed that the country’s wartime experience was not simply imposed but arose from its own internal political and cultural crises: a dysfunctional government and perceived social decadence.
