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Math Exposition on YouTube

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Re: Math Exposition on YouTube

#31

As a maths graduate from nearly 40 years ago I've forgotten far more than I remember, but really enjoy little 10-15 minute snippets of calculus and analysis on YouTube that tickle the rusty old neurons. Current favourite is Michael "and that's a good place to stop" Penn.

Forgetting so much is my current fear as well. What did you end up doing?

Just block off regular times to do the math you want to remember a few times per week at least. Maybe even 30+ minutes per day.

Solve problems. Prove things. Etc.

Re: Math Exposition on YouTube

#32
post #28

Earlier quoted context omitted.

You don't need proportional representation to get away from FPTP. Approval voting and score voting look especially good and they wouldn't require a change to the constitution.

> You don't need proportional representation to get away from FPTP. But you should, since proprortionality as a property has strong evidence of being practically producing better piblic satisfaction with government, as well as having a strong theoretical argument for being the best measure of the degree to which a “representative” body actually is representative. > Approval voting and score voting look especially goo…

there's no evidence that proportional repreesntation can achieve a higher level of voter satisfaction than good single-winner methods like score voting or approval voting.

and besides, you won't get PR at any scale beyond a handful of cities without first escaping duopoly, which requires score voting or approval voting as a prerequisite.

http://scorevoting.net/PropRep

Re: Math Exposition on YouTube

#33

This is a great explanation of why districts themselves are bad. We need proportional representation with either no districts at all or large multi-member districts.

More important: Direct Representation with optional Proxy (aka Representatives)

There's no reason the 60% should have thier will ignored just because thier votes are split between two or three parties and the remaining major party ekes out an extra 5-10% of the population than the next highest voted candidate (see canada for exactly this happening).

Each person should also be able to have thier will about a bill included in the voting at any time instead of having to hope whoever you voted to rep you actually does what they said let alone what you want.

That's way more important than the issue of districts (though that is an issue needing addressing its just not remotely as impactful in both the short and long term).

Re: Math Exposition on YouTube

#34

Earlier quoted context omitted.

> You don't need proportional representation to get away from FPTP. But you should, since proprortionality as a property has strong evidence of being practically producing better piblic satisfaction with government, as well as having a strong theoretical argument for being the best measure of the degree to which a “representative” body actually is representative. > Approval voting and score voting look especially goo…

there's no evidence that proportional repreesntation can achieve a higher level of voter satisfaction than good single-winner methods like score voting or approval voting. and besides, you won't get PR at any scale beyond a handful of cities without first escaping duopoly, which requires score voting or approval voting as a prerequisite. http://scorevoting.net/PropRep

> there's no evidence that proportional repreesntation can achieve a higher level of voter satisfaction than good single-winner methods like score voting or approval voting

Proportional representation isn’t a method, its an axis of measurement, and there is very good evidence that better performance on that axis produces better outcomes in terms of satisfaction with government among the citizenry.

There is neither evidence nor even a theoretical reason to think that what you call “good” single winner methods (which are “good” only by abstract mathematical criteria only applicable to single-winner methods which themselves have no empirical link to good outcomes, and which make assumptions like that ballot markets have some consistent meaning across voters that are known false for the kind of rating systems they use) either would in practice perform good (or even better than FPTP) on that measure or defy the observed relation of that measure with satisfaction.

> and besides, you won't get PR at any scale beyond a handful of cities without first escaping duopoly, which requires score voting or approval voting as a prerequisite

This first part of that sentence is a ludicrous claim offered with no support. If you mean “you can't establish a better voting method without buy-in from those elected under the current methods”, that’s false in any jurisdiction with citizen initiatives (as many US states have). Whether states adopting this can be sufficient to create political pressure to negate the problem on a national basis is... well, that's certainly a question.

If you mean “no matter what voting method you adopt, it won’t produce very proportional results as long as there is an existing duopoly for incumbent officeholders in the same body”, perhaps because of some kind of partisan/media momentum effect, then there is probably a kernel of truth there, in that it will probably take more than one electoral cycle to transition to producing results close to the natural degree of proportionality of the new voting method if it is radically divergent from the former one, but that's a frictional effect, not a binary switch.

The second part, though, is even worse. There is neither evidence nor even a good theoretical argument to suggest that there is some scale where you can’t get from FPTP to something producing more proportional results without the first step being score or approval voting. And your link provides neither evidence or argument on this point, only the bare claim that the author(s) “very much doubt you are going to get it” without range (i.e., Score) voting (apparently rejecting your claim that Approval is viable) as a “preparatory step”.

Re: Math Exposition on YouTube

#35

As a maths graduate from nearly 40 years ago I've forgotten far more than I remember, but really enjoy little 10-15 minute snippets of calculus and analysis on YouTube that tickle the rusty old neurons. Current favourite is Michael "and that's a good place to stop" Penn.

I'm a huge fan of Michael Penn's intro to various subfields of math videos, like the one on vertex algebras. He does a great job of balancing definition with motivation so that it doesn't feel like wading through a meaningless sea of symbols.
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