Pei, Ben,

I am going to try to spell out an arguments for each side (arguing for
symmetry, then for asymmetry).

For Symmetry:

Suppose we get negative evidence for "As are Bs", such that we are
tempted to say "no As are Bs". We then consider the statement "Bs are
As", with no other info. We think, "If we found a B that was an A,
then we would also have found an A that was a B; I don't think any
exist; so, I don't think there are any Bs that are As." Thus, evidence
against "As are Bs" is also evidence against "Bs are As".

Against Symmetry:

If we are counting empirical frequencies, then an A that is not a B
will lower the frequency of "As are Bs"; however, it will not alter
the frequency count for "Bs are As".


What this highlights for me is the idea that NARS truth values attempt
to reflect the evidence so far, while probabilities attempt to reflect
the world.

--Abram


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agi
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