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induction question
We're ignoring the decimal point, right? There's only one of those. Anyway, this is a pretty interesting discussion. [[User:AlChesapeake|AlChesapeake]]
We're ignoring the decimal point, right? There's only one of those. Anyway, this is a pretty interesting discussion. [[User:AlChesapeake|AlChesapeake]]
:Right, this is ignoring the decimal point. I like your insight that "pi within pi [would] start at a digit infinitely far from the first digit." I think you're right about that, to get around the periodicity issue, and I'll add that now.--[[User:Aschlafly|Andy Schlafly]] ([[User talk:Aschlafly|talk]]) 20:59, September 2, 2021 (EDT)
:Right, this is ignoring the decimal point. I like your insight that "pi within pi [would] start at a digit infinitely far from the first digit." I think you're right about that, to get around the periodicity issue, and I'll add that now.--[[User:Aschlafly|Andy Schlafly]] ([[User talk:Aschlafly|talk]]) 20:59, September 2, 2021 (EDT)
::I am at a loss concerning the proof by induction though - if we start at one digit, then to two, adding one repeatedly, that number will still be an integer, a real number, which (as stated in [[infinity]]) cannot be infinity. No matter how large it gets, it's still a finite number. This proves it for all integers n, but infinity isn't in the set of integers. It's beyond! ha ha [[User:AlChesapeake|AlChesapeake]]
===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)