In general, a set can be infinite yet not include "everything." For example there are infinitely many even numbers, but they don't include the odd num...
You missed the Antifa and BLM "mostly peaceful" riots last summer in which at least 23 people were shot dead, 700 police officers injured, 150+ federa...
As a fellow libertarian I salute your absolutism and ideological purity. I myself take a more nuanced approach. Lunch counters have to serve everyone ...
Have you seen the simple and beautiful proof of Cantor's theorem? It shows that there is no possible surjection from a set to its powerset. Here's the...
Do you think the government should have the power to inspect restaurants and shut them down if it finds them operating contrary to the public interest...
I don't think anyone wants to live in a society where the government can't restrict the behavior of private companies. How about this example. Do you ...
Do you disagree with calling privately owned lunch counters public accommodations in order to force them to serve black customers? They're private com...
You missed this story? https://nypost.com/2021/07/12/dnc-biden-allies-want-phone-carriers-to-vet-anti-vax-messages/ http://www.gilmermirror.com/view/f...
What Psaki said today is very interesting and important. We keep hearing that Facebook and other social media companies can't be held liable for restr...
I just happened to have recently had a minor medical procedure involving general anesthesia for a condition that, a hundred years ago, would have invo...
Oh right, good point. Yes a "nominated example," great phrase. A synecdoche, as it were, a part that stands in for the whole, like "all hands on deck....
I said LOL because I was amused/charmed by your lengthy pre-apologies and disclaimers before providing your commentary on my technical points. I thoug...
There's a problem with the implementation of the new system, which is that you no longer get the total post count. So you can't distinguish newcomers ...
I'm not proposing it, I'm reporting it from Cantor's work in the 1870's. You wouldn't call it "my" theory of relativity, or "my" theory of evolution, ...
No, I said ordinals are logically prior to cardinals, in the modern von Neumann interpretation. I explained this several times. It's not right for you...
You're absolutely right. It would be incorrect to say that, because it's not true. I was pretty sure that I HADN'T said that, and I went back to page ...
Your pickiness with everything I write annoys me. Especially because half the time you're actually wrong on the facts. I got bored of arguing with you...
It's in your obfuscatory and unnecessarily argumentative mind that anyone denied it. You just made that up. Nobody denied anything. And I just gave yo...
Was it denied? Or simply omitted according to the common-sense principle of responding to a question at the level at which it was asked? I refer you t...
I did not think this was an appropriate context in which to mention the two-point compactification of the real line. Do you? You must have driven your...
The \pm \infty of the extended real numbers are not the same as the transfinite ordinals and cardinals. The extended reals are the standard reals with...
No prob, I regretted not adding a smiley to my earlier post. I didn't expect anyone to read all that, but the tl;dr is that ordinals are an important ...
No, although it's slightly tricky. We are distinguishing between two sets having the same cardinality -- meaning that there is a bijection between the...
1923. Found this in John von Neumann and Hilbert's School of Foundations of Mathematics (pdf link) "The definition of ordinals and cardinals was given...
Actually all the infinities are ordinals. Even the cardinals are ordinals these days, though they didn't use to be. That was all explained in the post...
At the risk of further encouraging your fixation by replying to you: For the record, I reread the thread in question and I agree with myself. I stand ...
None of what you wrote convinces me that there's no world out there. Except on the days that I'm certain I'm a Boltzmann brain. And even then, there i...
Not a naive realist then. But surely the world didn't come into existence when you were born. Or when the first fish crawled out of the ocean (or what...
Then surely it's no loss to you to stop talking to me. But pi is not a particular real number? How can I have a conversation with you? It's like a tra...
I don't want to be rude but at some point I have to stop responding and I'm at that point. The definition of a particular number is not sufficiently g...
What the ancients knew is you changing the subject. It has no bearing on the nature of pi or whether pi may be called a "principle of mathematics," wh...
It's clearly wrong that pi is a particular real number? @Meta, please understand that you give me no basis to continue this conversation. Maybe we'll ...
I read this far and gave up. You started out by agreeing that your exposition was unclear and that I was asking clarifying questions. I became hopeful...
Pi and the Pythagorean theorem are not mathematical "principles." If you knew or understood more math, you'd understand the point. That you come up wi...
If I understand what you're saying (and it wasn't till the very end that I thought I did), existence is what it is, and math is a secondary thing that...
I respect that moral position. At least it's logical. My objection to the "lump of tissue unless Scott Peterson did it" argument is not the immorality...
I totally respect that point of view. It's intellectually honest. "Abortion is homicide but not murder." That's very different than saying a fetus is ...
I did feel that I addressed this point. It's cold comfort to the fetus that it was the mom and not the dad who killed him. But I already said that. I'...
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