Mathematics, 21.08.2019 02:10 april861

What is wrong with this proof by induction?
statement: for every n, there are n planets that are inhabited by living creatures.
base: n = 1 : earth is.
ih: assume there are n planets being inhabited.
induction step: take n + 1 planets. we know by ih, n of those are inhabited. earth is as well, that is n + 1 are inhabited.
find at least two mistakes.

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What is wrong with this proof by induction?
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