Article on thinking about Infinity

[Walt Zingmatilder]

https://www.thecollector.com/what-is-infinity-philosophical-approach/

[Nearly Sane]

https://www.thecollector.com/what-is-infinity-philosophical-approach/

Well, as a whistle stop tour, it's ok but it's not really got much point beyond that. It doesn't look at the ideas at all, and doesn't them. It's like a more erudite version of The Fast Show sketch with the bloke saying how brilliant something is.

[SqueakyVoice]

'Thinking about Infinity is like making love to a beautiful lady...
... you have to look at its enormity..

....slowly start to brush on those impossibly vast edges...

...accept that in terms of proportion, you're  tiny...

...and then...

...give it a go away.

[SqueakyVoice]

(Strangley enough I just remembered  that's  Swiss Tony. I remembered that just after I'd posted it.)

https://en.m.wikipedia.org/wiki/Koch_snowflake
If you started following the lines on how to construct this 'snow flake' you can calculate the area covered and the lengths on the line.

Each time you do this the length  increases  by 1/3rd and the area it covers only grows so slowly (better calculations  in the link), that an infinitely long line can only cover a finite amount. Imaging  an infinitely long line is only covering a finite area does take some thinking, but mathematically is it proven.

[SqueakyVoice]

https://en.m.wikipedia.org/wiki/Koch_snowflake Imaging  an infinitely long line is only covering a finite area does take some thinking, but mathematically is it proven.

...now imagine that an infinitely long line (that covers a finite area) is slowly pushed out, so the area becomes slightly bigger...Can the line by 'pushed out' so far that it covers an infinite area...?