Is correspondence true (in CR)?
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With an account, you can revise, criticize, and comment on ideas.CR is an evolutionary theory. There's no need for correspondence in Darwinism. Therefore, we don't need it in CR either.
I think correspondence is to epistemology as adaptation is to evolution. Knowledge that corresponds more to reality tends to be more useful (and/or has more reach), similar to biological adaptation.
Memes and genes are the same type of knowledge. Since we can "let our theories die in our place", as Popper said, we can make faster iterations and expand the environment to which the idea is adapted (including potentially the whole universe). There's no need for correspondence, just more reach and adaptation across contexts.
Memes and genes are the same type of knowledge.
That doesn’t sound right to me. Can you elaborate?
They are the same knowledge in terms of encoding knowledge about the environment, and possible transformations based on that. That knowledge can differ in reach (context independence/how fundamental it is).
Their mode of replication differ, as each new guess in genes must be neutral or positive for the vehicle. This makes genes slower, but that's IMO a quantitative difference, not a qualitative one. Pure genetic konwledge could colonize the galaxy, it'd take much longer than with memes.