With circularity, I think you'll have to consider, what Peirce wrote of taking up the same premisses again and again in cyclical systems, e.g. cyclical algebra. That is not circulum vitiosum. The same premisses take on new meanings, with a new context, that's how I've interpreted the idea.
To Peice, meaning IS contextual.
Kirsti Määttänen
<[EMAIL PROTECTED]>
25.9.2006 kello 20:55, gnusystems kirjoitti:
Joe, thanks for that pointer to Jeff Kasser's paper; it clears up many
of the questions i've had lately about what Peirce meant by
"psychologism" (and "psychology").
However i'm inclined to question Jeff's emphasis (in the middle of the
paper) on the circularity of "psychologistic" approaches to logic as a
crucial component of Peirce's antipsychologism. I think there's an
important sense in which the logic of science -- the logic that Peirce
was mainly interested in -- *has* to be circular, or rather cyclical. I
won't go into that here, but i will point out a circularity in Peirce
which i think would be rather damning if all circles were vicious.
Jeff quotes W2 270-1, CP 5.354, EP1 81 [1869]:
[[[ [L]ogic rigidly requires, before all else, that no determinate fact,
nothing which can happen to a man's self, should be of more consequence
to him than everything else. He who would not sacrifice his own soul to
save the whole world, is illogical in all his inferences, collectively.
So the social principle is intrinsically rooted in logic. ]]]
Now, compare this with a clearly "recycled" version from 1878 (EP1, 149;
CP 2.654):
[[[ It seems to me that we are driven to this, that logicality
inexorably requires that our interests shall not be limited. They must
not stop at our own fate, but must embrace the whole community. This
community, again, must not be limited, but must extend to all races of
beings with whom we can come into immediate or mediate intellectual
relation. It must reach, however vaguely, beyond this geological epoch,
beyond all bounds. He who would not sacrifice his own soul to save the
whole world, is, as it seems to me, illogical in all his inferences,
collectively. Logic is rooted in the social principle. ]]]
The social principle is rooted in logic, and logic is rooted in the
social principle. If that ain't circular, what is?
gary
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