"You could maybe pry those two difficult theories apart more, even with only one hundreth precision available, if you constructed your experiment to measure them somewhere different.

Theory 1 might say '7, 8, 9' takes 0.887s +/- 0.003s and Theory 2 might say '7, 8, 9' is 0.891s +/- 0.002s.

But then you could also do an experiment at '107, 118, 129'. Maybe Theory 1 says that's 0.567s +/- 0.003s and Theory 2 says it's 0.128s +/- 0.002s. Your hundredth second resolution can detect that difference easily, it'll make one (or both) theories lose a lot of 2s in every measurement.

You want to plan your experiments so they measure a place where your theories with the highest prior probabilities diverge more, so they're easier to distinguish from each other."

"You could maybe pry those two difficult theories apart more, even with only one hundredth precision available, if you constructed your experiment to measure them somewhere different.

Theory 1 might say '7, 8, 9' takes 0.887s +/- 0.003s and Theory 2 might say '7, 8, 9' is 0.891s +/- 0.002s.

But then you could also do an experiment at '107, 118, 129'. Maybe Theory 1 says that's 0.567s +/- 0.003s and Theory 2 says it's 0.128s +/- 0.002s. Your hundredth second resolution can detect that difference easily, it'll make one (or both) theories lose a lot of 2s in every measurement.

You want to plan your experiments so they measure a place where your theories with the highest prior probabilities diverge more, so they're easier to distinguish from each other."

"You could maybe pry those two difficult theories apart more, even with only one hundredth precision available, if you constructed your experiment to measure them somewhere different.

"Theory 1 might say '7, 8, 9' takes 0.887s +/- 0.003s and Theory 2 might say '7, 8, 9' is 0.891s +/- 0.002s."

"But then you could also do an experiment at '107, 118, 129'. Maybe Theory 1 says that's 0.567s +/- 0.003s and Theory 2 says it's 0.128s +/- 0.002s. Your hundredth second resolution can detect that difference easily, it'll make one (or both) theories lose a lot of 2s in every measurement."

"You want to plan your experiments so they measure a place where your theories with the highest prior probabilities diverge more, so they're easier to distinguish from each other."

"You could maybe pry those two difficult theories apart more, even with only one hundredth precision available, if you constructed your experiment to measure them somewhere different."

"Theory 1 might say '7, 8, 9' takes 0.887s +/- 0.003s and Theory 2 might say '7, 8, 9' is 0.891s +/- 0.002s."

"But then you could also do an experiment at '107, 118, 129'. Maybe Theory 1 says that's 0.567s +/- 0.003s and Theory 2 says it's 0.128s +/- 0.002s. Your hundredth second resolution can detect that difference easily, it'll make one (or both) theories lose a lot of 2s in every measurement."

"You want to plan your experiments so they measure a place where your theories with the highest prior probabilities diverge more, so they're easier to distinguish from each other."