Likewise, and thanks. I did suggest I was trying to wrap it up. And then I asked you a question! "Do I contradict myself? Very well then I contradict ...
What makes you think that wasn't determined at the moment of the big bang? Quantum events have certain probabilities of being observed in certain stat...
I think this is all going south. I don't find your propositions entertaining. About the real numbers? It just seemed like a change of topic. I didn't ...
Perhaps, but you are kind of all over the map in what follows. I didn't critique perpetual motion. I just asked, since you seem to have gravity but no...
After reading this, I feel I must have totally misunderstood your post. I thought you were trying to put a sensible probability measure on \mathbb N t...
Is it possible you're misunderstanding what the axiom of choice says? It's surely not contradicted or made irrelevant by painting a sphere. In the pro...
The natural numbers are well ordered in their usual order. Any countably infinite set can be well ordered simply by bijecting it to \mathbb N and usin...
I just came here late at night to reply before bed but I'll stand by for further developments. For what it's worth, the fact that we can't put a unifo...
I was trying to be helpful, but I only ended up hijacking and essentially terminating the thread. Not my intention at all. Perhaps someone has somethi...
In application, math is used to refer to something. But math itself does not refer. This was the great philosophical insight that followed the discove...
In the evolution of thought, people are going to decide math is wrong because it doesn't actually refer to anything? I thought that was a feature. I s...
But you are. You are trying to develop a probability measure on \mathbb N, which contradicts the Kolmogorov axioms. So embrace your infinite-measured ...
I'm not a mathematician. I studied math in school, long ago. Thanks for calling me reasonable. I can't defend the views of other posters, and I can't ...
Your thesis is that someday, Internet archeologists are going to discover this thread and go, "My God, math is wrong!" Wish I'd figured that out long ...
I am quite late to this thread and have not read any of it, so my comment is based only on this one post. But this is an important point, one I take g...
Apology accepted. I do see how my view may have seemed that way to you. For example I am certain that I'd have maintained that if A and B are sets, an...
Veritasium, right. Thanks for the correction. I like Veritasium but didn't watch this video. He has some off days as we all do. If he mentioned compre...
That's why I gave the example of throwing all the numbers into a bag and picking one. You remember those big rolls of tickets that movie theaters used...
It's better for me if I defer continuing this discussion at this time. But for what it's worth, the symbol string "same" has no meaning in ZF. I do no...
Oh I see. I can explain what I had in mind. The OP was inviting discussion on the intuitively confusing idea that a random sequence of symbols contain...
I'm not Kolmogorov. I only identified him as the originator of the idea that randomness is measure by the degree of incompressibility. I said in my po...
There are other definitions of the word, as I indicated in my post. Back in the day you could dial 411 and a nice lady would come on the phone and say...
After much back and forth, you finally revealed to me that you do not understand the basic material implication P \implies Q of propositional logic; a...
The definition of randomness as incompressibility is due to Kolmogorov. https://en.wikipedia.org/wiki/Kolmogorov_complexity There are other definition...
This interesting puzzler has a clear and unambiguous mathematical resolution. First, the standard axioms of probability were laid down in 1933 by Russ...
As I'm sure I've agreed several times. If you don't want to call quantification over a proper class a domain of discourse, I'm fine with that. We freq...
I hotlinked it. Here's the link. https://math.stackexchange.com/questions/2724236/how-do-i-quantify-over-the-proper-class-of-all-the-cardinal-numbers ...
@"TonesInDeepFreeze" Well yes, we agree on that. But there is no set of all groups! The class of groups is a proper class. So you seem to be conceding...
Agreed. We're not talking about models here, though. We're talking about domains of discourse. I'll admit that for me, domain of discourse is an infor...
On the contrary, domains of discourse are often truly universal. They're just not always sets. Let's take as an example the simplest and most importan...
The problem with this line of argument is that the vaxxed are every bit as contagious as the unvaxxed. The number of breakthrough infections is signif...
In the taxicab metric the unit circle is a square. There's a picture of a square circle on that page. A circle is the set of points equidistant from a...
I have a small point and a large point to make. I'll start with the small. First, to recap. @"Wayfarer" posted: I pointed out that when the vaccinated...
Velocities and areas are applications of calculus, as in Newton's fluxions and fluents, corresponding to today's derivatives and definite integrals. I...
Do you know that in normal operations, the OS needs to constantly make changes to the kernel in privileged mode? How would you determine what's a legi...
How would necessary privileged mode (aka kernel mode or supervisor mode) operations be done? Such as adding a device, adding a new process to the proc...
These two are in direct conflict. After all, any intrusion detection scheme must necessarily slow down a computer. It takes extra cpu cycles to detect...
I'm afraid I can't comment. But (for sake of discussion) how does the CPU input anything anywhere? It has to be instructed to do so by instructions st...
I'm honored. I could not parse the following: ECC Ram is just error-correcting memory. It wouldn't offer any functional difference from any other kind...
LOL. Can you comment on my point here? You said the unvaccinated should have their freedom of movement restricted because they may spread covid. I lin...
Excellent point. And by the same token, I assume you favor restrictions on the free movement of the vaccinated, since they too may infect others. Vacc...
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