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I would argue the 'perfect circle' is inherent in every circle, similarly to how it is inherent in your dismissal of it But if you require a more direct unders

I would argue the 'perfect circle' is inherent in every circle, similarly to how it is inherent in your dismissal of it But if you require a more direct understanding I would say there is a perfect circle in every rotation

kordless 10y ago
The possibility of a perfect circle exists in this universe, but the last digit we are aware of is definitely a posteriori. In other words, the description of a circle is prior knowledge given it allows calculating pi, but the actual values are post observational knowledge, given they must be calculated and continue to be irrational forever. (At least as far as we know.) It would take an infinite amount of power to calculate every digit in pi, given pi itself is irrational, even while describing how to calculate it is rational.
- justifier 10y ago
  You are moving someone else's goalposts I answered where circles are in our universe and you then try to change the original intent of omalleyt's question to mean a symbolic representation of pi > It would take an infinite amount of power to calculate every digit in pi Calculating pi is so simple life without nervous systems does it Now, expressing that value in our limited yet overly verbose base ten symbolic representation would indeed require infinite recursion
  - kordless 10y ago
    I'm not aware of a means by which goal posts can exist in a philosophical debate around rational vs. irrational thinking. Both types of thinking are valid, but I can see how and why some tend to argue for absolute rationality at all times.
    - justifier 10y ago
      I apologise, I thought you were implying that what omalleyt 'really meant' was a perfect circle is data we can calculate It seemed to me you were changing the question that was being asked, and a question asked implies an answer, or 'goal post' But if you were just developing new inquiry stead building off omalleyt then I apologise and would hope to encourage like critical thinking in the future .. Thinking on it 'goal posts'.. and 'soap box' elsewhere in this thread.. lacks a timeless quality, I really should have left it out ;P
      - kordless 10y ago
        I asked my daughters friend why pi was irrational, and she said "because you have to calculate it". The knowledge of those calculations cannot be given, but the way to calculate it, with a bit of suffering, can.
- szemet 10y ago
  "It would take an infinite amount of power to calculate every digit in pi" Representation by digits is just one representation. We have plenty of finite representations: http://mathworld.wolfram.com/PiFormulas.html http://mathworld.wolfram.com/PiFormulas.html Base 10 notation also requires a calculation to get the concrete number: You have to sum and multiply and power a lot (Imagine whole numbers described in base 10, now how you get that number of something?)
szemet 10y ago
Yes, if you take something like "Minimum Description Length principle", there may exists circles in physical world that are best (most economically) described with a perfect circle + some noise.

kordless 10y ago

The possibility of a perfect circle exists in this universe, but the last digit we are aware of is definitely a posteriori. In other words, the description of a circle is prior knowledge given it allows calculating pi, but the actual values are post observational knowledge, given they must be calculated and continue to be irrational forever. (At least as far as we know.) It would take an infinite amount of power to calculate every digit in pi, given pi itself is irrational, even while describing how to calculate it is rational.

justifier 10y ago
You are moving someone else's goalposts I answered where circles are in our universe and you then try to change the original intent of omalleyt's question to mean a symbolic representation of pi > It would take an infinite amount of power to calculate every digit in pi Calculating pi is so simple life without nervous systems does it Now, expressing that value in our limited yet overly verbose base ten symbolic representation would indeed require infinite recursion
- kordless 10y ago
  I'm not aware of a means by which goal posts can exist in a philosophical debate around rational vs. irrational thinking. Both types of thinking are valid, but I can see how and why some tend to argue for absolute rationality at all times.
  - justifier 10y ago
    I apologise, I thought you were implying that what omalleyt 'really meant' was a perfect circle is data we can calculate It seemed to me you were changing the question that was being asked, and a question asked implies an answer, or 'goal post' But if you were just developing new inquiry stead building off omalleyt then I apologise and would hope to encourage like critical thinking in the future .. Thinking on it 'goal posts'.. and 'soap box' elsewhere in this thread.. lacks a timeless quality, I really should have left it out ;P
    - kordless 10y ago
      I asked my daughters friend why pi was irrational, and she said "because you have to calculate it". The knowledge of those calculations cannot be given, but the way to calculate it, with a bit of suffering, can.
szemet 10y ago
"It would take an infinite amount of power to calculate every digit in pi" Representation by digits is just one representation. We have plenty of finite representations: http://mathworld.wolfram.com/PiFormulas.html http://mathworld.wolfram.com/PiFormulas.html Base 10 notation also requires a calculation to get the concrete number: You have to sum and multiply and power a lot (Imagine whole numbers described in base 10, now how you get that number of something?)

szemet 10y ago

Yes, if you take something like "Minimum Description Length principle", there may exists circles in physical world that are best (most economically) described with a perfect circle + some noise.