What is the Sum of the Natural Numbers? 1+2+3+4+... = ?
1+2+3+4+5+...=?
If you summed up all of the Natural Numbers, what would the answer be? Would it equal Positive Infinity? A positive Natural Number? A positive Integer? Or, could it equal a Negative Integer, say -1/12?
Also, do you think that a problem like this demonstrates that Mathematics is Bullsh't, maps onto Nature in interesting and counterintuitive ways, or other? Could you imagine any applications to such a result?
Don't watch the videos until after you respond with your initial thoughts:
A. https://www.youtube.com/watch?v=w-I6XTVZXww
B. https://www.youtube.com/watch?v=0Oazb7IWzbA (Side Note: I met the Mathematician in this video)
Positive Infinity
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-1/12
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