I don't know what is a volatile and unbounded set. Can you provide some examples so I can understand what you're saying? — fishfry
Volatile is not a term of art in math at all. And its use in C programming is very specific as I think we agree. It just tells the compiler not to optimize the variable. — fishfry
The integers are unbounded because you can't draw a finite circle around them all. The unit interval is bounded since all its elements are within 1 unit of each other. Yet the unit interval has far larger cardinality than the integers. So I am not sure what you're trying to get at. — fishfry
In C programming, the equivalent symbol to infinity is the volatile keyword.
— sime
Jeez that's not true. A volatile variable is one that is, for example, mapped to an external data source. Declaring a variable volatile tells the compiler that it can't depend on nearby code statements in order to optimize the variable. — fishfry
This simply has nothing at all to do with transfinite ordinals and cardinals as understood in math. It's apples and spark plugs.
it also fails to discriminate sets which are volatile and bounded from sets which are volatile and unbounded.
— sime
This has no referent in math. I am not sure where you are getting these notions. — fishfry
The following is a link to some similar ideas to mine, although not entirely similar, but close.
https://www.academia.edu/7298912/Hinge_Propositions_and_the_Logical_Exclusion_of_Doubt — Sam26
My conclusion based on these ideas is that many bedrock beliefs or hinge-propositions are causally formed, that is, there is a causal connection between the reality around us, our sensory experiences, and our mind. This, it seems to me, is what triggers the belief. — Sam26
Check out the Rorty clip above. The relativity of 'existence' thesis renders 'things in their own right' meaningless i.e. Kant's 'inaccessihle noumena' was abondoned by later phenomenologists as a useless concept. — fresco
And this. Why must logic and maths be either discovered, or invented. Why not both? — Banno
Name and Sam is not part of the backdrop of non-linguistic reality, but a hand is part of the backdrop. — Sam26
What is it about realism that you think commits it to believing these "mysteriously lie elsewhere"? — Isaac
When a Christian or a person of another theistic religion says that their God exists, the truth is that they are saying this because they believe that God(s) exists. Regardless of how sure they claim to be or what "evidence" they give, the fact is that is simply what they believe, because no one knows if any God(s) exist, which is the exact reason why no evidence has been provided for the existence of any God(s). I personally do not have an opinion either way regarding God(s) or their presence, so I guess you could call me agnostic, but I am simply pointing out that no one knows if God(s) exists. If Christians actually knew that their God exists, then they could easily provide irrefutable evidence and there would not constantly be disputes by atheists asking for said evidence. I'm not arguing for atheists or theists, I'm simply saying that theists don't actually know if God does or does not exist, and therefore they should not claim to know this or try to give atheists reasons why God(s) does exists as opposed to simply accepting that they don't know if God exists. — Maureen
Going back to the discussion, note that the two situations you described are not symmetrical. We have a reasonable well-developed semantic theory for declarative sentences (say, Montague grammar and extensions thereof). But we don't have a well-developed semantic theory for questions (and other "moods") that is independent of truth condition semantics, or of declaratives more generally. So we may hope to extend our analyses of declarative sentences to other types of sentences, but there is little hope of going in the reverse direction, since we don't even know where to start in that case. That's why we try to understand questions in terms of "answerhood" conditions, whereas no one (that I know of!) has tried to formulate a semantics for declarative sentences in terms of "questionhood" conditions. — Nagase
Suppose "pi" defines the perfect circle. Do you think that striving to resolve the exact mathematical value of pi would be a case of striving after the ideal? We all think that pi has no end, and to prove that it has no end is a fruitless task, like proving infinite has no end. But what if someone found the end? — Metaphysician Undercover
the practice of psychiatry isn't politically neutral, either on the side of the patient who requests a diagnosis due to failing to conform to the social values of modern society
— sime
It sounds like your concern about psychiatry relates to its practice in the criminal justice system, where the subject is not the doctor's client. That will always be problematic, just as it is with forensic pathologists and police surgeons.
But we can't avoid having that involvement, can we? What would be your preferred model for dealing with someone that is alleged to have committed a brutal crime and who pleads insanity or is suspected to be suffering from severe mental illness? — andrewk
Those linguistic conventions are presumably shared expressions of our belief. And here I am trying to use your terms.
Are you suggesting that we cannot have a conversation in which we both talk about the same thing?
Because I know that's wrong. — Banno
It might have practical significance. What if the equation in question controls a piece of machinery, and getting it wrong means the machinery fails? Rocket fails to launch, bridge collapses, patient dies. That kind of thing. I think I would be correct in saying that it then becomes a matter of objective fact. — Wayfarer
If someone looked at an equation on a blackboard, and said ‘that’s wrong’, is that a matter that can be explained in terms of stimulus and response? — Wayfarer
