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Infinity is an abstraction that makes thinking about certain problems easier. It's not a feature of reality (=territory), it's a tool for thinking (=map). As with any tool, there are contexts where it is very helpful; there are contexts where it is inappropriate; and there are contexts where it can be misused.
Without the concept of infinity you'll struggle with even basic geometry (consider a line) and calculus becomes an outright impossibility.
No matter, no matter. The fact that this concept of infinity sometimes makes our life easier, doesn't make everything right about it. Maybe we should try harder. Going the right path isn't always easy, it can be extremely hard. Perhaps unbelievably hard.
100 years ago, they thought that the self reflection is in the core of paradoxes, like Russell's and related.
I thought long ago, that the infinity has its share here. With Yablo's paradox, this is quite obvious. No self-reflection, b... (read more)