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…
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…
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?
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…
If sqrt(2) is a normal number then its decimal expansion would contain infinite information.
A normal number can be computable. It is not known if sqrt(2) is normal.
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…
A computable number can be a normal number. http://www.glyc.dc.uba.ar/santiago/papers/absnor.pdf
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…
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…
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…
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…
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.…
...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…
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…
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…
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…
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…
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.
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…
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…
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…
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…
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.
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…
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…
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…
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?
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…
If sqrt(2) is a normal number then its decimal expansion would contain infinite information.
A normal number can be computable. It is not known if sqrt(2) is normal.
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…
A computable number can be a normal number. http://www.glyc.dc.uba.ar/santiago/papers/absnor.pdf
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…
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…
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…
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…
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.…
...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…
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…
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…
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…
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…
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.
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…
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…
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…
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…
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.
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…