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no - 10 doesn't equal 1
However, could consider the so-called 'Bold Hypothesis' (introducing a new mathematical object (infinity) which equals 1/0, but otherwise behaves like a real number):
1/0=infinity, therefore 1=infinity*0
you know: 10*0=1*0 (any number *0=0)
multiply each side by infinity (1/0): 10*0*infinity=1*0*infinity
which is the same as: 10*(0*infinity)=1*(0*infinity)
we have already said (1st line) that 1=infinity*0, therefore: 10*1=1*1
which simplifies to give: 10=1
which is impossible?!
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∙ 11y ago
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