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we are not talking about the same infinity
::The sentence #9 is a direct result from #8 which is itself a result from #6: you can't add digits after the end of something that has no end.
::The sentence #9 is a direct result from #8 which is itself a result from #6: you can't add digits after the end of something that has no end.
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::Your remark about a set of ordered numbers is not clear: did you mean natural numbers, real numbers, digits? And how do you insert pi into that set?
::Your remark about a set of ordered numbers is not clear: did you mean natural numbers, real numbers, digits? And how do you insert pi into that set? [[User:Blavek|Blavek]] ([[User talk:Blavek|talk]]) 22:07, September 4, 2021 (EDT)
[[User:Blavek|Blavek]] ([[User talk:Blavek|talk]]) 22:07, September 4, 2021 (EDT)
:::I think you're making some implicit assumptions about [[infinity]] that restrain its power and scope. Infinity can be an infinite sequence of subseries which are themselves of infinite length. My suggestion about sets (which I meant to refer to digits) illustrates that.
:::I think you're making some implicit assumptions about [[infinity]] that restrain its power and scope. Infinity can be an infinite sequence of subseries which are themselves of infinite length. My suggestion about sets (which I meant to refer to digits) illustrates that.
:::Thanks for your comments about this, however, which is helping me clarify my thinking about it!--[[User:Aschlafly|Andy Schlafly]] ([[User talk:Aschlafly|talk]]) 22:50, September 4, 2021 (EDT)
:::Thanks for your comments about this, however, which is helping me clarify my thinking about it!--[[User:Aschlafly|Andy Schlafly]] ([[User talk:Aschlafly|talk]]) 22:50, September 4, 2021 (EDT)
::::The infinite number of digits in the decimal expansion of pi is a [[infinity#Cardinals|countable infinity]] (aleph<sub>0</sub>), the infinity you are talking about is the uncountable infinity of the real numbers (aleph<sub>1</sub>). There is an infinite (pun intended) difference between the two. [[User:Blavek|Blavek]] ([[User talk:Blavek|talk]]) 00:12, September 5, 2021 (EDT)
===Linking to this section from the article===
===Linking to this section from the article===
Andy, do you really think that it is a good idea to link to the above section '''on a talk-page''' from the main article on [[pi|π]]? And please, read the discussion! (ups, that was the second sentence of this paragraph - you probably already started skipping...) --[[User:AugustO|AugustO]] ([[User talk:AugustO|talk]]) 05:23, August 3, 2021 (EDT)
Andy, do you really think that it is a good idea to link to the above section '''on a talk-page''' from the main article on [[pi|π]]? And please, read the discussion! (ups, that was the second sentence of this paragraph - you probably already started skipping...) --[[User:AugustO|AugustO]] ([[User talk:AugustO|talk]]) 05:23, August 3, 2021 (EDT)