Although I don't think philosophy per se is irrelevant, I do concede that perhaps philosophy of science is no longer relevant - the important philosophical ideas behind science and the scientific method have been distilled and clarified over the years to an extent that argument is no longer constructive, and, of course, it works.
I started watching the video but ran out of airtimewas enjoying it, but didn't get to the part where they discuss this topic of philosophy of science. I was hoping for some irony, as in two guys philosophising about how philosophy is no longer relevant!
To answer your question though, Dawkins, Hawking and Neil deGrasse Tyson are not philosophers and it's not their area of expertise, so to look at them for authority in this is to commit a logical fallacy: argumentum ad verecundiam
(which is not to say they are wrong, of course, just that they are not necessarily right about this)
Do I contradict myself? Very well, then I contradict myself. I am large, I contain multitudes.
-Walt Whitman
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