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This is a straw-man argument. Just like we cannot escape theories in other fields, we cannot escape axiomatic systems. What my point was that as we ha...

We ought to treat the existence of non-computability and incommeasurability much more seriously than we do. Yet mathematicians push them aside and thi...

So political correctness isn't political or what? I'm not sure what you mean.

It has already happened and continues to happen in the West. Just visit the rust-belt in the US. You have few hubs where the economy has centered and ...

Even if I'm no socialist, the real societal problem is the division of income and if there emerges a new class of povetry, those who aren't as poor as...

I think I understand your point. Perhaps my answer to JeffJo above will make my point more clear. It's better to think of axioms as part of axiomatic ...

Perhaps you didn't understand my point. I'm not looking for some ultimate truth. The question is if a set of axioms, an axiomatic system, is simply co...

Do note that mechanization is a phenomenon that has been with us since the industrial revolution. Industry, but also agriculture has transformed drama...

Yet this is something that isn't contained to science. In other workplaces similar events can happen. Being a comedian is especially difficult in thes...

Well, you argued that I gave an incorrect definition, SophistryCat. Besides, one shouldn't assume that one school of Mathematical philosophy is correc...

How your education policy is implemented is important. It doesn't matter so much if the education system doesn't actively interact and get information...

Hopefully you do understand the difference of a scientist getting attacked either because the scientific study he (or she) has made and/or the conclus...

That might well be. Yet when it comes to Trump, absolutely anything can happen between today and election day. One year and everything can look differ...

Exactly. In my view comments about a shirt as an example of the effect of political correctness on science is itself dumbing down the issue. It's as f...

This is the interesting question. Who exactly will benefit from the upcoming impeachment ritual? As noted by some people, in the end this might benefi...

Yes. Cross party talks are bad. Far better to take the stance they have in the US: do not do anything with the administration if you are in opposition...

Seems like then you have your your own definition... Definitons of axiom: "An axiom is a proposition regarded as self-evidently true without proof. Th...

Your reasoning of it being an conjecture or an informal intuition can be done only in hindsight. The definition of an axiom is "A self evident proposi...

Education has been seen as this quasi-holy savior that solves nearly all problems in society. Yet the fishing metaphor shows how naive the idea of edu...

I already gave an example of what was thought to be an axiom that wasn't. Greeks thought that all numbers were commensurable. The thought was for them...

Avoided my ass. Nope, what you are doing is this reurgitation of stories 'how out-of-whack and loony the PC crowd' is. What you are talking isn't even...

Really, NOS4A2, REALLY? A lewd shirt??? That's your point? Yeah, I know you started this thread... but this is the dumbing down of discourse. As some ...

Political correctness is used as a pejorative, yes. But it does also mean that language or policies are used with the intention to avoid offense or di...

Sure. I'll disagree with you on this matter and try to argue my point. From history we find many examples of this, starting with Galileo Galilei, the ...

The Sokal affair is more about lax scientific standards. He makes his argument even more clear in his book "Fashionable nonsense". James Watson is one...

Remember that Infinity is an endless series, not a number. Many would disagree with you if you treated infinity as a number! Some would say that infin...

1:23 Am here. I'll have to sleep on this. Take your time. :yawn:

I'll give you fifteen, old timer.

I guess you didn't participate in the Decolonizing Science? thread. :wink: Starting from taxonomic hierarchy, the rank below a subspecies is where the...

I don't recall this from studying economics in the university. I thought the one they put on the pedestal was the consumer that optimizes his or her w...

Let's try to avoid making EVERYTHING a left vs right issue, NOS4A2. And science IS politically neutral. Yes, they did it even in the Soviet Union as t...

When you can laugh off things, things are good. But in the example I gave Blair wasn't laughing it off. And this was just one issue from many. Here is...

My point was that axioms can be possibly false. Our understanding can change. Best example of this was that until some Greeks found it not to be true,...

Yep, you got it! :up: This is btw. crucial to understand before the next step: comparing the natural numbers to the reals, which gets people really co...

I'm not sure what he meant, but a bijection is both an injection and a surjection. But to your question: a set is infinite if and only if it is equiva...

Well, there might be reason why especially from the historical point of view people would oppose socialism. It hasn't been all dancing on roses and ha...

Sure, but above with Blair you have a former leader of the Labour party saying: "The door was locked to those elements with a kind of 'not wellcome' s...

Oh the right wing media...is (ghasp) against a labour candidate? And it's ugly? Goodness Gracious! How terrible!!! How could they? And could you think...

Poison? The only poison has been fed to that metropolitan socialist elite and the younger 'educated' voter. It's their hubris, the idea that some of t...

I think the structural problem is that if you go to war, your objective would be to win it. In truth, that hasn't been at all the objective. Nothing l...

If I remember correctly, some use that as a definition of infinity: A set is infinite if and only if it is equivalent to one of its proper subsets.

Yeah well, it can happen that something that we have taken as an axiom isn't actually true. Just look at how much debate here in this forum there is a...

No. As we are talking of infinite sets, they aren't 'inequal'. They are indeed 'equal'. You just take the set of N and multiply every number in N by t...

Doesn't have to. Enough voters think it was so. Repetition is the way to get lies to work.

Yes, a guy who worked in a movie theatre that Trump visited is sorted to be the best answer. Well, now we know how you make your opinion about him. :w...

Good riddance! It is now nothing else but a distraction for the UK and a way to polarize the Brits.

How about learning actual math? Set theory in this case. It's easy in our time. Just google it. I'll even give a link here: Well-order. Or here: Well ...

I wouldn't agree on this. Axioms don't give proofs. Perhaps we are just thinking of this a bit differently. A proof shows that something is true. If a...

Now this is great thinking from a fellow PF member, the reason why I participate in this Forum. I totally agree with your view. The notion that Trump ...

Back then the whole thing was dealt differently. As you said, it indeed was a discussion conducted among smart, scientist-type adults. Now it's not.