RE: Thinking about infinity
April 27, 2016 at 12:10 pm
(This post was last modified: April 27, 2016 at 12:15 pm by robvalue.)
Yes, if it could be divided up infinitely in reality, it would be a finitely "long" object, which could be made up of infinitely many parts of increasingly small lengths.
Of course, where you make the cuts is arbitrary, and it remains the sum of those parts whether or not you actually cut it. It's another way of viewing the same object.
In the same way: when you walk a metre, how many times have you passed the halfway point, if we recalculate it every time we reach that point based on the remaining length?
Of course, where you make the cuts is arbitrary, and it remains the sum of those parts whether or not you actually cut it. It's another way of viewing the same object.
In the same way: when you walk a metre, how many times have you passed the halfway point, if we recalculate it every time we reach that point based on the remaining length?
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