Please use a different notation. The notation (a,b) means something else. But you immediately have problems. What does "between" mean unless you defin...
Ok thanks. I realize that I myself write long posts. Define your notation, since you already told me this is NOT an open interval in the real numbers....
I considered that argument, that there might be uncountably many theories (interpretations) but I don't think it's correct. An interpretation must hav...
Chumming the water, is our new chum. But actually I'd heard the same claim from Chaitin, and it wasn't till I read the paper referenced by the OP that...
Lost me. There are uncountably many reals between any two natural numbers. Not sure what's being argued here. The cardinality of natural language is n...
Seems that way to me as well. @"Michael" is wishing that a limit point had an immediate predecessor, but it doesn't, and he's stuck there. Yes, Benace...
I'd find it helpful if you would write down a complete description of your version of the problem in one place, rather than pointing me to P1 here and...
P1 says, "Nothing happens to the lamp except what is caused to happen to it by pushing the button" I do not know if that is something Thomson said or ...
Ok. For things in the real world, they are already in some order, even if it's a complete state of disorder. Even a completely disordered collection o...
I wonder about that. Think of the slang the kids of every generation come up with. No algorithm could predict that. Humans not just using, but constan...
Yes but who determines that? You said that numbers come into existence when some computer represents them. If one computer represents "XLII" and other...
I'll check out those links. But if they deny natural languages are even infinite, then they surely aren't uncountable. I do think natural language is ...
I've been thinking about your button. I was going to try to address your argument on your own terms, but first I thought I'd go back to Benecerraf's p...
They're properties of the electron. Position, momentum, etc. are how we talk about the electron. A property isn't a constituent part or component of a...
Come the revolution it will all be made right. I worked in corporations and share some of your opinions about them. But why hate on the math professor...
Going back to your top post: I read the paper. It's true, but there's less there than meets the eye. They're only talking about undefinable sets. Sets...
Sorry, I did no follow the intent of the rest of your post. The question I replied to was from @"Banno", who asked: "Why should we suppose that natura...
Hope you'll explain where sims with bodies live. The phrase doesn't even make sense. I don't have much more to say on all this. If I'm incapable of un...
cc @"TonesInDeepFreeze" since your name got referenced a lot here. Thanks. I often don't follow the purpose of his symbology. You guys should stay out...
I am trying to understand you. I'm trying to understand your argument or thesis or idea. You said that numbers get instantiated when they appear in a ...
Ok thanks. I was wondering if perhaps my last post was so far off the mark that you gave up on me (possible); or so brilliant that I thoroughly refute...
Surprised nobody has reactivated this thread. Julian Assange pleaded guilty to one count of violating the US Espionage act, in return for a sentence o...
I didn't read the rest of this interesting thread yet so I'm just responding to the top post. I believe Chaitin made a similar point. He has a proof o...
Ok I finally made a run at this, and I am having a little trouble understanding your meaning. I believe you are trying to convince me that logical ide...
Lamps that switch state in arbitrarily small intervals of time? I missed that day in lamp school. The lamp is as much a fairy tale as Cinderella's coa...
I appreciate your enthusiasm, but surely you can see that nothing new has been said between us for a long time. We could just reread each other's old ...
@"TonesInDeepFreeze" asked for Benacerraf's argument, of which I provided my own version without any change in meaning. I also linked Benacerraf's pap...
I think so. What's funny is that I'm the one who should have sour grapes. I'm a math grad school dropout. The fault was not in my stars, but in myself...
I don't see why. One of the best ways you can respond to someone who brings a problem to you is to just ask them to explain it all to you in detail. B...
I wandered over and happened to notice this remark. I can say something about it. I was pointed at Benacerraf's paper a few weeks ago, and since I had...
@"Metaphysician Undercover", @"TonesInDeepFreeze", Ah this is the Infinity thread. I was totally confused. I thought this was the supertask thread. So...
Yes, it's a nice concept. As I understand it it's basically the same math as probability theory. But we are interpreting it differently. Instead of pr...
Mathematicians solve problems. They solve problems in math. Like Wiles solving Fermat's last theorem, a problem pure mathematicians had been strugglin...
Yes I understood that. I haven't been in this thread in a couple of weeks and when I checked it out, @"Metaphysician Undercover" had evidently introdu...
Your line items are helpful to you, and that is the ultimate goal. Technically it doesn't matter whether I ever understand your ideas or not, as long ...
I can't believe this thread is still going. I see you've hijacked it to your hobby horse. For my edification, can you explain the above paragraph? My ...
Could you perhaps be thinking of the concept known as credence? "Credence or degree of belief is a statistical term that expresses how much a person b...
Didn't say that, just got a little overwhelmed by all the line items. I'll take a look at it. But what about my point about constructivism? If you rej...
I thought you don't believe in points :-) TMs are arbitrarily large but finite. Murky. Murky. To me, anyway. You've said it repeatedly, haven't you? S...
Ask any world-class concert pianist if students should do their scales. Ask a pro athlete if they do wind sprints and hit the weight room. As one proc...
Looking ahead in this post, I see that at the very end you said, We're simulated biological beings Do you mean to say that? It's revelatory. If your p...
Yes, I wanted to make that distinction. But at the same time your example is good too as a visualization. Meet me at ground level at Third and Main at...
Thank you for the kind words. I was not trying to impress anyone with my erudition, believe me. I am a total physics ignoramus. I just told you litera...
Comments