- Budimir Zdravkovic
- New York, NY
- United States
PhD student in biochemistry/cancer biology,
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Can three infinities be greater than one?
The idea is very simple but the conclusion may redefine our very concept of infinity and quantity unless I am wrong.
There are infinite possible positions in one dimensional space. That is if we assume that a given position is infinitely small or that one dimensonal space stretches infinitely. Two dimensonal space offers more possibilities than one dimensonal space since two dimensional space has all possible positions of one dimensional space plus all possible positions that can occupy the second dimenson that was added. And we can keep adding dimensions thus creating more possible positions with each added infinity.
What seems to emerge is that as you add more dimensons you are adding more possible positions relative to the previous number of dimensons but you are not necessarily increasing the number of positions because the number will always be infinity. Thus you can add more to a quantity without increasing it.