If induction means “the correlation between past observations and future observations in nonzero,” then not assuming induction could mean one of two things:
1)I might think there is some chance that the correlation is non-zero, and some chance that the correlation is zero. In this case Bayesian reasoning will still work, and confirms that the correlation is non-zero.
2) I might think the correlation is certainly zero. But in this case most people would not describe this as “not assuming induction”, but as making a completely unjustified and false assumption instead. It is not negative (not assuming) but positive (assuming something.)
If induction means “the correlation between past observations and future observations in nonzero,” then not assuming induction could mean one of two things:
1)I might think there is some chance that the correlation is non-zero, and some chance that the correlation is zero. In this case Bayesian reasoning will still work, and confirms that the correlation is non-zero.
2) I might think the correlation is certainly zero. But in this case most people would not describe this as “not assuming induction”, but as making a completely unjustified and false assumption instead. It is not negative (not assuming) but positive (assuming something.)