Cf: Inquiry Into Inquiry • Understanding 1
http://inquiryintoinquiry.com/2022/07/26/inquiry-into-inquiry-understanding…
All,
Another passage from Russell further illustrates what I see as a critical
juncture in his thought. The graph-theoretic figure he uses in analyzing
a complex of logical relationships brings him to the edge of seeing the
limits of dyadic analysis — but he veers off and does not make the leap.
At any rate, that's how it looks from a perspective informed by Peirce.
Here's the first part of the passage.
Excerpt from Bertrand Russell • “Theory of Knowledge” (The 1913 Manuscript)
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<QUOTE BR:>
Part 2. Atomic Propositional Thought
Chapter 1. The Understanding of Propositions
(4). We come now to the last problem which has to be treated in
this chapter, namely: What is the logical structure of the fact
which consists in a given subject understanding a given proposition?
The structure of an understanding varies according to the proposition
understood. At present, we are only concerned with the understanding
of atomic propositions; the understanding of molecular propositions
will be dealt with in Part 3.
Let us again take the proposition “A and B are similar”.
It is plain, to begin with, that the complex “A and B being similar”,
even if it exists, does not enter in, for if it did, we could not
understand false propositions, because in their case there is no
such complex.
It is plain, also, from what has been said, that we cannot understand
the proposition unless we are acquainted with A and B and similarity
and the form “something and something have some relation”. Apart from
these four objects, there does not appear, so far as we can see, to be
any object with which we need be acquainted in order to understand the
proposition.
It seems to follow that these four objects, and these only, must be
united with the subject in one complex when the subject understands the
proposition. It cannot be any complex composed of them that enters in,
since they need not form any complex, and if they do, we need not be
acquainted with it. But they themselves must all enter in, since if
they did not, it would be at least theoretically possible to understand
the proposition without being acquainted with them.
In this argument, I appeal to the principle that, when we understand,
those objects with which we must be acquainted when we understand,
and those only, are object-constituents (i.e. constituents other than
understanding itself and the subject) of the understanding-complex.
(Russell, TOK, 116–117).
</QUOTE>
Reference
=========
Bertrand Russell, “Theory of Knowledge : The 1913 Manuscript”,
edited by Elizabeth Ramsden Eames in collaboration with
Kenneth Blackwell, Routledge, London, UK, 1992.
First published, George Allen and Unwin, 1984.
Resources
=========
Notes on Russell's “Theory of Knowledge” • Note 1
https://oeis.org/wiki/User:Jon_Awbrey/Philosophical_Notes#RTOK
https://oeis.org/wiki/User:Jon_Awbrey/Philosophical_Notes#RTOK_1
Regards,
Jon