The problem with the chronophone is that almost all of our knowledge and beliefs comes from the authority of others. Unless you have designed every stage of the test yourself, and then observed that no errors were made and if you have derived all the underlying assumptions yourself (or have them in common with Archimedes), you can’t use the result of such a test because you’ve accepted the authority of the testers.
And still you could argue that verifying the accuracy of every test you have ever done is merely applying Bayesian Reasoning/The Scientific Method as it was taught you—which would come out as applying Aristotelean philosophy, or something close. Tell him to educate all children of the world? You can’t even tell him to do a damned scientific experiment!
If we want to convince Archimedes of anything, we’re going to have to rederive science and ethics from principles which Archimedes would agree with for the same reasons as us (or, to generalize to the presumable meaning of the post, principles which are actually fundamental).
The problem with the chronophone is that almost all of our knowledge and beliefs comes from the authority of others. Unless you have designed every stage of the test yourself, and then observed that no errors were made and if you have derived all the underlying assumptions yourself (or have them in common with Archimedes), you can’t use the result of such a test because you’ve accepted the authority of the testers.
And still you could argue that verifying the accuracy of every test you have ever done is merely applying Bayesian Reasoning/The Scientific Method as it was taught you—which would come out as applying Aristotelean philosophy, or something close. Tell him to educate all children of the world? You can’t even tell him to do a damned scientific experiment!
If we want to convince Archimedes of anything, we’re going to have to rederive science and ethics from principles which Archimedes would agree with for the same reasons as us (or, to generalize to the presumable meaning of the post, principles which are actually fundamental).