Perhaps too much is being made of the “arbitrarily close to zero” remark. Sure, there isn’t enough information in the universe to get to one-over-number-made-with-up-arrow-notation. But there’s certainly enough to get to, say, one in a thousand, or one in a million; and while this isn’t arbitrarily close to zero in a mathematical sense, it’s good enough for merely human purposes. And what’s worse, the word ‘arbitrary’ is distracting from the actual argument being made, in what looks to me like a rather classic case of “Is that your real objection?”
Perhaps too much is being made of the “arbitrarily close to zero” remark. Sure, there isn’t enough information in the universe to get to one-over-number-made-with-up-arrow-notation. But there’s certainly enough to get to, say, one in a thousand, or one in a million; and while this isn’t arbitrarily close to zero in a mathematical sense, it’s good enough for merely human purposes. And what’s worse, the word ‘arbitrary’ is distracting from the actual argument being made, in what looks to me like a rather classic case of “Is that your real objection?”