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timhamlin t1_iuaf7ze wrote

Reply to comment by 86tuning in Eli5: Infinity ♾️ by [deleted]

Another perspective on infinity is the coastline problem. If u measure a coastline you have to define the resolution of the map. If it’s in inches, rather than miles or yards it will result in a MUCH greater number for the same section of coastline. If u increase the resolution to infinity, you make the measure of the coastline infinite. There is an infinity in every minute dot.

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DavidRFZ t1_iuapi30 wrote

Yeah, you can paint an infinite area with a finite amount of paint.

The area under the curve 1/x from 1 to infinity… infinite.

The volume of the curve 1/x from 1 to infinity revolved around x-axis… finite!

The area clearly fits inside the volume!

But then you need to consider practical issues like the size of the atoms and molecules that make up the paint.

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