I don’t really understand what Eliezer is arguing against. Clearly he understands the value of mathematics, and clearly he understands the difference between induction and deduction. He seems to be arguing that deduction is a kind of induction, but that doesn’t make much sense to me.
Nick: you can construct a model where there is a notion of ‘natural number’ and a notion of ‘plus’ except this plus happens to act ‘oddly’ when applied to 2 and 2. I don’t think this model would be particularly interesting, but it could be made.
I don’t really understand what Eliezer is arguing against. Clearly he understands the value of mathematics, and clearly he understands the difference between induction and deduction. He seems to be arguing that deduction is a kind of induction, but that doesn’t make much sense to me.
Nick: you can construct a model where there is a notion of ‘natural number’ and a notion of ‘plus’ except this plus happens to act ‘oddly’ when applied to 2 and 2. I don’t think this model would be particularly interesting, but it could be made.