Clinamenic

Binary & Tweed
As much as I am sympathetic to your project, I think you might have to go deeper than the basics of advanced maths, physics, or blockchain tech for that sort of insight.
I agree, cursory understandings won't yield deep enough insights.

And another reason I am so concerned with extensive surface-level understandings at this point, is that a real intensive focus on a topic seems like it would come at the cost of the atrophy of some number of other topics. Once things are all more integrated, in a manner similar to how a pile of leaves becomes matted when there are long twigs within it, such a focus may be administered at less of a risk.
 

luka

Well-known member
@poetix taught himself set theory a few years ago. hes now considered a luminary in the field so it can be done. not by me, but it can be done.
 

IdleRich

IdleRich
In fact that is where I lost the mathematical thread, trying to multiply one set by another with completely incomprehensible results
Would that be vector multiplication? Resulting in a matrix?
Sort of yeah. You could have a 2d grid resulting in a whole load of points with the x axis as the first set and the y axis as the second set. It's a way of representing the two sets combined together by showing all the possible combinations (actually permutations) of their elements.
 

IdleRich

IdleRich
Even so, a set too long to list would presumably result in a matrix too long to list. Assuming thats even how multiplying sets works.
Yeah but again you could possibly describe it. Suppose you had all the real numbers and you wanted to multiply it by itself, you could imagine a simple cartesian grid as being the result of that multiplication, we can't draw it going on for ever but we can sort of visualise or at least accept that it does so.
 

IdleRich

IdleRich
I assume what @woops is talking about is the carthesian product?

assuming you have two sets, A=[1,2,3] and B=[x,y]
their product would look like this:
AxB=[1x, 1y, 2x, 2y, 3x, 3y]

As far as I recall if either of these would be an empty set, you would end up with an empty set as the result.
Ah sorry, I'm repeating you.
 

woops

is not like other people
Qu'est qu'on entend, hm? Qu'est que l'on entend, aux bars. Allez, c'est ça qu'on dit. Allez
 

wektor

Well-known member
None the less, I think what happens when exploring any topic you get unjustifiably excited about is the parallels draw themselves, you always take your current knowledge as the starting point.
Although I think I get the point, the surface level connections might be an efficient way of extending your ability to draw them further on, while advancing in each field potentially made easier.
Think learning a few languages at once. If you want to speak one fluently, it might not be the way to go, but say you pick one group to learn from, obviously lots of common points will emerge and since memory is much about the interconnections, surely it could be helpful?
 

wektor

Well-known member
When it comes to having only superficial knowledge in various fields and trying to use it in practices, I would say we have a considerable growth of that sort of attitude among the so called artists.
I cannot say I'm not jealous of their unpretentiousness at times, yet like a friend of mine said
Having a kind of masculine view on knowledge and skill, which effectively makes me feel like I'm being mocked every time I use something the nuances of which I do not fully comprehend.
 

wektor

Well-known member
Say you started learning scand languages, surely it would be easier to learn one properly at first, but I think it might be somehow approachable in the messy way, all at once.
Shared vocabularies, so on.
 

Clinamenic

Binary & Tweed
None the less, I think what happens when exploring any topic you get unjustifiably excited about is the parallels draw themselves, you always take your current knowledge as the starting point.
Although I think I get the point, the surface level connections might be an efficient way of extending your ability to draw them further on, while advancing in each field potentially made easier.
Think learning a few languages at once. If you want to speak one fluently, it might not be the way to go, but say you pick one group to learn from, obviously lots of common points will emerge and since memory is much about the interconnections, surely it could be helpful?
Good point about languages, and I would point to etymology as a focus that underpins the field of different languages to focus on. Etymology would be a focus that has a more extensive reach than a focus on any language, and should in principle make a focus on any language more fruitful, no?
 
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