This is not the thread to debate health care policy. To my mind, government-run health care would be the worst of the post office and the VA. Note tha...
I'll stipulate that we disagree on health care policy. This thread's not the place. But if health care is "free," who pays for it? Taxes would go thro...
I'm glad to see a Bernie supporter maintaining a sense of humor. I'd assume most are in a state of shock and depression. Liz quit today and failed to ...
Every AOC-backed candidate lost. Cenk Uygur, running to fill Katie Hill's vacates House seat, lost badly. Leftist candidates lost to centrists nationw...
Yup. Bernie has the heart but not the cojones. Just like he let Hillary off the hook on her email scandal He should have hit her hard on her corruptio...
You're agreeing with me. You simply haven't made your case IMO. If it's the extension of a predicate and it's not a set in TF then it's a proper class...
Yeah yeah Denmark population 5 million. Britain's NHS is a total horror show disaster. Canada's too. I'll take the opposite side of the "free health c...
The fix is already in. The deal's done. My condolences to the Bernie fans on the board. Note also that the mythical youth vote didn't bother to show u...
Late night on Tuesday. Biden beat Bernie decisively. Looks like Dem voters aren't buying what Bernie's selling. Biden will be a disaster of course as ...
Thank you! Tell that to my many critics ... Ok no totally I would love that. It's his Marxism not his hippiedom. I wasn't an official hipped but I cer...
If you mean the part where it lists the axioms only referring to the successor function S and the symbol \in, why can't I define \mathbb N = \{x : x =...
Lot of interesting developments since we last talked! The DNC fix is in. Pete and Amy dropped out and endorsed Biden after speaking with Bloomberg. Th...
That made me chuckle. Yes ok I get that you assert that. But when Wikipedia says that the first axiom of PA is, "0 is a natural number," are you asser...
Dems had an interesting day. On the one hand, party stalwarts like Pelosi and others signaled some level of acceptance of the Bernie freight train bea...
Ok. In general terms, I noticed you didn't engage with my point that "N is a proper class in PA" is a personal visualization that I find helpful; even...
Comrade Bernie is that you? Celebrating the wise and just rule of Fidel Castro who taught the peasants to read while he appropriated their land and im...
Yes thanks. I wonder why I didn't catch my typo. I think I somehow can't believe a 78 year old who had a heart attack a few months ago is the likely n...
Thanks. You wrote a really interesting post and I have a lot of questions and comments. Before going into them I have to say that my stance remains un...
I'm impressed by the Bernie-mania right now. Suddenly everyone's realized all at once that his candidacy is for real. None of the other candidates ins...
The question you ask is, what is the evidence that I think makes the DNC screwing Bernie the most likely outcome. Well, the same people did the same t...
Take it up with the Atlantic. Or the LA Times, George McGovern is a cautionary tale for Sanders supporters. Or if you prefer the other side of the pro...
Tell it to the DNC insiders plotting to stab Bernie in the back. 1972 is very much in the minds of the Dem insiders. I'm not making this stuff up. It'...
Dems violently split between their centrists and leftists, just like today. In 1968 the centrists won and the Dems nominated centrist Hubert Humphrey,...
It was reported today that Bloomie's already conspiring with the superdelegates. There's a fight to the death between the centrist neoliberals -- the ...
Your use of the terminology is impressive, and I'm not able to determine whether you have advanced knowledge or not; since if you do, my own level of ...
If this is in response to something I said, I never claimed such a thing. I use proper class as an informal description of a collection that's not a s...
Oh there are lots of ways. There's the subset relation, we can say that the set of odd naturals is smaller than the set of naturals because the odds a...
Is this for me? Can you please Quote a bit of my text by selecting it and hitting the Quote button that appears? That way I get notified rather than h...
I'm afraid I don't know Hegel. I've heard he's difficult to read. I'm not much for the classical philosophers, my limitation. That said, I think it's ...
Virtually none. There are proofs all over the Internet. The diagonal argument is the one people usually see. But I think the proof of Cantor's theorem...
Once you get to the second round and the superdelegates take over, Bernie is certain to be screwed. The only question is whether the Bernie bros will ...
We DEFINE them to have equal cardinality because there is at least one way of matching them up bijectively. Again, this follows by definition. If a co...
Yes, it seems to be more subtle than mere logical equivalence. You are entirely correct. I said, "The axiom of infinity allows us to take the "output ...
If science is true, the same argument can be made. Moreover, you cannot discount the power of religion in human affairs. Wars have been fought, empire...
JFK was going to break up the CIA and make peace with the Soviets. Once the deep state got rid of him, no president ever challenged the war machine an...
Always had an interest in set theory and foundations. Beg to differ. Functional analysis uses the Hahn-Banach theorem, which is equivalent to a weak f...
The technical condition is that PA and ZF-infinity (read "ZF minus infinity") are bi-interpretable. Here's one link I found: https://math.stackexchang...
Your use of complete is nonstandard and I don't know what you mean. Are you trying to go through the proof of Burali-Forti? No this is the part where ...
Reading ahead, I surmise that you may making a little more of it than it deserves. Towards the end of your post you seem to draw some metaphysical or ...
Yes, well, this has been predicted for quite some time. The question is when the Fed is going to stop printing, or when the markets will simply stop r...
Yes. In PA (Peano arithmetic) each of the numbers 0, 1, 2, 3, ... exists, but not a completed set of them. Yes in fact in PA, the natural numbers are ...
There's a book devoted to exactly that. Gödel's Theorem: An Incomplete Guide to Its Use and Abuse by Torkel Franzen. I have a copy, I should leaf thro...
Two ways: via the Peano axioms, in which \mathbb N is a collection but not a set; and in ZF via the axiom of infinity. In the latter approach 0 is def...
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