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In a way it is both in this case, isn't it?Ibix said:It turns out that duality is a useful mathematical concept; duelity less so.
In a way it is both in this case, isn't it?Ibix said:It turns out that duality is a useful mathematical concept; duelity less so.
I don't follow. Are you suggesting that duels are the duals of duals?fresh_42 said:In a way it is both in this case, isn't it?
No, that towers of groups corresponding one-to-one to towers of fields is a form of duality.Ibix said:I don't follow. Are you suggesting that duels are the duals of duals?
This is unfair towards philosophy. E.g. Kant was very interested in precision, which is why he is so hard to read. Wittgenstein investigated the language itself as major transport of information.nuuskur said:Why can't philosophy be concise? Or is it possible to make it concise, but it's avoided intentionally?
I would say 'inherently' ambiguous. It flows better.fresh_42 said:This is unfair towards philosophy. E.g. Kant was very interested in precision, which is why he is so hard to read. Wittgenstein investigated the language itself as major transport of information.
We all know about the ambiguity of language which is why we use formulas. Even something as simple as a quantification is immensely difficult in language, so that we use ##\forall \, , \,\exists## if in doubt. Compare the many threads here and the number of posts related to problem description instead of problem solution! These are indicators that verbal language is immanent ambiguous. Hence philosophers have to deal with a tool that is all but perfect. This does not mean they do not try, it means that they carry a handicap they cannot get rid of.
Once you can make something clear and precises , point the basic concepts, it stops being part of the realm of Philosophy, at least as I understand it. Philosophy deals in a relatively open-ended way about the topics it addresses. Notice , e.g., Psychology was once part of Philosophy. Once main assumptions, results , schemas were made precise, it started becoming something other than Philosophy. Unless you're referring to the study of people named 'Phil' ( the other Philosophy) , that is my take.nuuskur said:Why can't philosophy be concise? Or is it possible to make it concise, but it's avoided intentionally? Is there too much effort involved in precision? What is there to gain from obscurity apart from stringing a lot of fancy sounding words together and trying to make it look like it's profound or complex?
*Initiate pulling out hair in 3 ..2 ..1 *
What is the group complexity of a human mind, provided it could be modeled as an automaton? Is there a non-trivial lower bound? Does every philosophy major's mind contain an isomorphic copy of a certain subautomaton?
The elegant way by ideals or by foot via prime decomposition? In any case, I guess it is simply too hot.nuuskur said:my number theory has gone down the drain, I can't even prove something elementary like ##[a,(b,c)] = ([a,b],[a,c]) ##
If I calculated correctly, we'd need to justifyfresh_42 said:via prime decomposition
That is a festival I could get on board with.fresh_42 said:I am each year newly amazed and fascinated:
75,000 metal rocker on some farmer fields of a northern 2,000 people village, and it looks as if Scandinavia has more hard rocker than citizens: Swedish, Danish, Finnish and Dutch bands. They even have a beer pipeline!
I miss Lemmy.
Yes. It is a bit like alien meets bumpkin, but both love it. Harder, faster, louder, but the local firefighters band with trumpets and tubas opens the festival. They broadcast it on tv right now and I think there is also a livestream. I thought "Frisians among themselves" as I saw all those bands from North Sea countries. And yes, Lemmy was there eight times, so the North Sea country UK also contributed.pinball1970 said:That is a festival I could get on board with.
Lemmy was a legend, he didn't stop.fresh_42 said:Yes. It is a bit like alien meets bumpkin, but both love it. Harder, faster, louder, but the local firefighters band with trumpets and tubas opens the festival. They broadcast it on tv right now and I think there is also a livestream. I thought "Frisians among themselves" as I saw all those bands from North Sea countries. And yes, Lemmy was there eight times, so the North Sea country UK also contributed.
He is one of those persons to whom the following quote fits:pinball1970 said:Lemmy was a legend, he didn't stop.
Me neither ... meanwhile.pinball1970 said:Not sure I could handle all day drinking and crashing out in a tent.
Certainly not 2 or 3 days.
I'll check it out for surefresh_42 said:Me neither ... meanwhile.
But the atmosphere looks great, especially at night.
There's a youtube clip from 2006 (75 min.):pinball1970 said:I'll check it out for sure
I must be a maths dilettante. I see distribution but leave proofs to others. How trusting.nuuskur said:my number theory has gone down the drain, I can't even prove something elementary like ##[a,(b,c)] = ([a,b],[a,c]) ##
nuuskur said:If I calculated correctly, we'd need to justify
[tex]
\max \{k_j, \min \{l_j,r_j\}\} = \min \{\max\{k_j,l_j\},\max \{k_j,r_j\}\}
[/tex]
where [itex]a = \prod _{j=1}^n p_j^{k_j},\ b = \prod _{j=1}^n p_j^{l_j}, \ c = \prod _{j=1}^n p_j^{r_j}[/itex]. I've no idea how to analyse such a statement other than case by case :/ Looks like some kind of distributivity. Need to dust off my lattice theory
It is hot .. and humid, that's worse.
I once got a phone call in the middle of the night, so I woke up. The person asked for Sgt. Brown. I still don't know whether I answered in English or German, or what at all.Borg said:I once got an email from someone needing parts for a time machine. I still don't know if he got what he needed.
True story. While away from home on an extended assignment (TDY in government-speak), I was woken by a phone call around 0300 local time.fresh_42 said:I once got a phone call in the middle of the night, so I woke up. The person asked for Sgt. Brown. I still don't know whether I answered in English or German, or what at all.
WWGD said:Weird response, not sure I get it.
Me: Wow, I just noticed I have been fasting for the last day or so.
Others: Great Job, Perfect, Congratulations! ?
I don't know, I am not grossly overweight or anything (BMI around 26) , so no idea why they replied like that.
A study published by Journal of the American Medical Association (JAMA) in 2005 showed that overweight people had a death rate similar to normal weight people as defined by BMI, while underweight and obese people had a higher death rate.pinball1970 said:26 is officially overweight in terms of BMI but I do not think the numbers are great indicators of health.
The figures do not take muscularity into account, for instance the healthy range is supposedly 19-24 (I am 26.4 = overweight)