[quote="The E"]
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(And before you even start: "logical system" means any system constructed using the rules and language of formal logic)
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My opinion is that there is a reasonable extension to informal logic, although with less rigor. This is the existence of unexpected results. Of course, this is probably connected with my basic assumptions (see signature).
Also from the above:
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"="The E"
Russell was concerned about Gödel's work because Gödel invalidated one of the core findings of Russell's and Whitehead's extraordinary work on Principia Mathematica (not to be confused with Newton's work of the same name).
It's very understandable that a man like Russell, having poured years of his life into a work as grand as Principia, is a bit "concerned" about the findings of a young upstart that directly contradict his.
And let's remember that Russell's political philosophy arose from having lived through WW1 and WW2 and the beginnings of the cold war, not his work in mathematics and philosophy."
I wasn't aware of the time frames. I sit corrected on this.
My thinking is still that goal orientation (freedom but not license) works better than theory in most things. Theory is useful but not to be completely trusted. Again, this is because of my basic assumptions.
A parallel would be the way that recent supercomputers use multiple lower capability processors instead of a very fast central processor. In economics and other social systems, the complexity gets so high that data choke becomes a major problem even before unexpected results occur.
Don't expect me to change the idea that everyone gets something wrong somewhere, - working using this idea has produced results for me. My investments are returning a GREAT annualized return. It is too bad investing was a late decision! Assuming my portfolio grows to a size where my return per hour is reasonable . . ..
