sykh

6 ms·

1.
by sykh 8y ago
I read through most of the paper we are all nominally talking about. He doesn't use normal numbers as you say. He is talking about computable numbers as you say. My apologies. But a normal number has "random" digits in the
2.
by sykh 8y ago
Let S be an encoding of the works of Shakespeare in binary. A normal number contains S in its binary expansion. We can do this for all information. In this sense is it correct to say that a normal number contains infinite information in
3.
by sykh 8y ago
The author's paper is about normal numbers (numbers that contain infinite amount of information). If a normal number isn't considered to have random digits then what notion would you use?
4.
by sykh 8y ago
The set theory that most working mathematicians deal with is ZFC. In ZFC it is not known what cardinal the continuum is. Hence the statement that I was responding to is incorrect. The person I responded to said that they do know how many
5.
by sykh 8y ago
If sqrt(2) is a normal number then its decimal expansion would contain infinite information.
6.
by sykh 8y ago
A normal number can be computable. It is not known if sqrt(2) is normal.
7.
by sykh 8y ago
The cardinality of the continuum is a cardinal number. It’s one of the alephs. It is not known which aleph it is. So it’s not known what the cardinality of the powerset of the naturals is. It’s just known that it is the same cardinal nu
8.
by sykh 8y ago
A computable number can be a normal number. http://www.glyc.dc.uba.ar/santiago/papers/absnor.pdf
9.
by sykh 8y ago
The complement of the set of normal numbers has measure zero. A normal number is what the author of the paper is talking about when referring to random numbers. I think most mathematicians, if they had to bet, would bet that sqrt(2) is no
10.
by sykh 8y ago
I didn’t make any self referential call out to authority. I provided no authority whatsoever. I posited beliefs and spoke in such terms. I just stated how I see things. As I said, I believe the problems are emergent phenomena. Of cours
11.
by sykh 8y ago
Since we're discussing nothing short of the US government acting as an enemy to the citizens it is supposed to serve.... Your premise is incorrect. The "sort of" part of my statement is important. There are lots of forces
12.
by sykh 8y ago
It’s a sign of how bad things are in the U.S. State something obvious, like you did, that jives with someone’s attachement to a political party and you get irrational responses. The polarization is palpable. People don’t seem to rational
13.
by sykh 8y ago
It’s sort of the divide and conquer strategy. Pit groups against each other whilst the looting occurs. While people fight over who is the true snowflake and that kind of stuff all sorts of shitty policies get enacted. Things didn’t just
14.
by sykh 8y ago
...pensions create a long term liability in a way that putting cash in employee 401k doesn’t. Assuming we don’t want to live in a society in which vast numbers of elderly live in penury this isn’t true. It’s well known that when retirem
15.
by sykh 8y ago
My wife is a psychiatrist and has dealt with people who survived suicide attempts. Mostly people who tried to kill themselves by shooting themself in the head. She says that her experience is that people do not immediately regret the deci
16.
by sykh 8y ago
This is a famous article in the mathematics community. While her results were known to humans for several hundred years she claimed they were not known to her. If this is correct then her derivation is an impressive feat but certainly not
17.
by sykh 8y ago
Logically speaking if it is the first subsea roundabout then it is also the first Atlantic subsea roundabout. But due to how we normally communicate and interpret things one naturally might assume as you did. Our normal communication&#x2F
18.
by sykh 8y ago
Actually you can and this is a good thing in many cases. Though in some cases you end up in a gray area where it’s not so clear what is right. We force doctors to treat people and in certain circumstances they are forced to treat people e
19.
by sykh 8y ago
I see your point and would be more sympathetic to it if we had proper sex education in k-12 and made birth control and abortions easier to obtain for poor people. Even so, clearly this lady made some poor choices.
20.
by sykh 8y ago
I think it’s clear that parent was equating income taxes to theft. The article we are all nominally commenting on is about theft. Parent says he/she can get behind the movement against said theft and that there is a reason that incom
21.
by sykh 8y ago
My claim is that taxation is not theft. I’ve not stated any position on whether or not taxation is too high or whether or not our spending proroties are good. I’ve merely stated that government is necessary, requires money, and that taxati
22.
by sykh 8y ago
There is no fallacy in my argument because my statmemt is that that taxation is not theft. I’ve not argued that the only possible way for government to get the money necessary to run is via taxation. Though it is true that I think taxatio
23.
by sykh 8y ago
The argument and points still stand. It’s hard to imagine that one can reasonably describe income taxes as theft but not other forms of taxation. I suppose one can call other sorts of taxes as pernicious or akin to theft but in the United
24.
by sykh 8y ago
I suppose we need to relive the days of Upton Sinclair's The Jungle before labor rights isn’t viewed as a negative. We really are regressing in this area. If you haven’t already done so please read the book.
25.
by sykh 8y ago
One can not credibly equate income taxes to theft. We live in a society and it costs money for the society to function. Police, courts, roads, sewers, military, etc. require funds and everyone with the means to do so ought to contribute.
26.
by sykh 8y ago
I am! Thanks for catching that mistake.
27.
by sykh 8y ago
Oh definitely. Thinking it about it more it’s clear that part of my comment was I’ll thought out. I was attempting to wonder if mathematics would have developed enough theory behind it in a universe in which low degree polynomials were di
28.
by sykh 8y ago
Note that from the preface these notes are based on a half year high school course. The high school certainly was a specialized math high school. Soviet education was superb. I’ve perused the notes and they heavily rely on problem solving
29.
by sykh 8y ago
Well from one of the articles I referenced: This follows a report by benefits consulting firm Aon Hewitt finding that 83% of large companies don’t expect the tax cut to boost salaries at all — just help pay for small bonuses companies like
30.
by sykh 8y ago
I guess I read different news than you. I’ve read that most of the money is going toward stock buybacks. The pressure on wages is coming from a tighter labor market. That’s what I’ve read but I don’t know enough to say one way or the oth

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