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Talk: Pi
September 6, 2021
September 5, 2021
You're right with your examples, but pi is a real number and its decimal expansion is simply an approximation. I don't think "without end" or "after its end" has any real meaning, pun intended!
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we are not talking about the same infinity
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Thanks for your comments about this, however, which is helping me clarify my thinking about it!
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Thanks for removing the captcha.
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Response regarding inductive proofs and infinity
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September 4, 2021
→Andrew Schlafly's "Proof by Induction": The flaw in your approach is the denial of the existence of an infinite sequence within an infinite sequence. For example, change pi to a set of ordered numbers and then insert pi into that set of numbers
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→Pi contains pi: no, it doesn't
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→Andrew Schlafly's "Proof by Induction": So pi is in pi for any large representation of pi, and that remains true as pi approaches infinity, right? This asymptotic approach of a subset of pi to pi itself is essentially the same as saying pi contains
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put date
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induction question
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September 3, 2021
→Andrew Schlafly's "Proof by Induction"
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→Andrew Schlafly's "Proof by Induction": I think you're right about that, to get around the periodicity issue, and I'll add that now.
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added username
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question on pi within pi
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August 4, 2021
August 3, 2021
August 2, 2021
August 1, 2021
→Pi contains pi: is
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→Pi contains pi: But while getting something wrong in classical Greek makes you look uneducated to a very small minority of readers, being wrong when it comes to the concept of countable infinity makes you look stupid in the eyes of quite a bigger aud
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→Pi contains pi: Infinity has no such limit. Embrace its vastness and make it work for you. It can be enormously beneficial at a personal level for someone's outlook, and not something to be resisted through infinity denial
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July 31, 2021
→Pi contains pi: no, π does not contain π
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→Pi contains pi: reply
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→Pi contains every other number?: retitle section
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July 30, 2021
→Pi contains every other number?
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→Pi contains every other number?: some fun with finding strings in π
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→Pi contains every other number?: Yes, that's right. The aspect of infinity illustrated by the observation that pi contains pi is similar to several of the miracles and parables in the New Testament.
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→Pi contains every other number?: Andy, thank you for your patience!
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→Pi contains every other number?
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→Pi contains every other number?
m→Pi contains every other number?
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→Pi contains every other number?: yes ... I don't think the disconnect has anything to do with communication in English!
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July 29, 2021
→Pi contains every other number?
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→Pi contains every other number?
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→Pi contains every other number?: Right, as I proved above.
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no edit summary
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→Pi contains every other number?: Not different at all. "Pi contains pi" means what it says: the full pi within pi. Infinity denial appears to be an obstacle here.
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→Pi contains every other number?: Could you explain what you mean by "pi contains pi" exactly?
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→Pi contains every other number?
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→Pi contains every other number?: "Obviously wrong"??? Here is my proof by induction
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July 11, 2021
November 6, 2020
November 19, 2009
→I do not like the "Pi in the Bible" section...
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→I do not like the "Pi in the Bible" section...
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