Have you read Beginning of Infinity yet? 
As a theoretical account of how science works, it appears not to be a serious attempt. He hasn't read the literature and doesn't know what it says and doesn't consider that relevant.
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To some extent, I think you pick things up where Deutsch and Popper leave off: with the recognition that science can lack an ultimate foundation, yet still make progress. There are parallels, too, between your account of meta-rationality and Deutsch's CR conception of rationality
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I like Hacking's approach to foundations in `Representing and Intervening`https://www.goodreads.com/book/show/202710.Representing_and_Intervening …
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