Re: Gary Richmond
At: http://permalink.gmane.org/gmane.science.philosophy.peirce/14086
Gary,
A teridentity relation is the triadic extension of a simple identity relation.
For example, suppose our object domain is the set O = {0, 1, 2, 3, 4}.
The identity relation on O is the following set of ordered pairs:
• {(0,0), (1,1), (2,2), (3,3), (4,4)}
Alternatively, the aggregate may be written in the style Peirce used early on:
• 0:0 + 1:1 + 2:2 + 3:3 + 4:4
The teridentity relation on O is the following set of ordered triples:
• {(0,0,0), (1,1,1), (2,2,2), (3,3,3), (4,4,4)}
Alternatively:
• 0:0:0 + 1:1:1 + 2:2:2 + 3:3:3 + 4:4:4
When we say the interpretant stands in a relation to the object and the sign
stands in a relation to the object and that those two relations are the same,
then the relation we are talking about is simply the triadic sign relation in
question.
Regards,
Jon
Gary Richmond wrote:
> Edwina, John,
>
> I will, as ever, agree with John in this matter. If, as Peirce says, the
> interpretant stands in the *same *relation to the object as the
> representamen does, then that 'same' points to what in existential graphs
> Peirce calls a relationship of 'teridentity'. For example, he writes:
>
> the recognition of the demonstrable logical truth that the concept of
> teridentity is not mere identity. It is identity and identity, but this
> "and" is a distinct concept, and is precisely that of teridentity. CSP
>
> I'm still traveling and, so away from my desk, but as I recall Peirce holds
> that this relationship of teridentity holds for all genuine triadic
> relations of which o-s-i is certainly one.
>
> Best,
>
> Gary
>
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