Peter Turney: yes, I define Occam’s Razor in such a way that all orderings of the hypotheses are Occamian.
The razor still cuts, because in real life, a person must choose some particular ordering of the hypotheses. And once he has done this, the true hypothesis must fall relatively early in the series, namely after a finite number of other hypotheses, and before an infinite number of other hypotheses. The razor cuts away this infinite number of hypotheses and leaves a finite number.
Peter Turney: yes, I define Occam’s Razor in such a way that all orderings of the hypotheses are Occamian.
The razor still cuts, because in real life, a person must choose some particular ordering of the hypotheses. And once he has done this, the true hypothesis must fall relatively early in the series, namely after a finite number of other hypotheses, and before an infinite number of other hypotheses. The razor cuts away this infinite number of hypotheses and leaves a finite number.