List,
For those unfamiliar with Biblical language, "translated" in this context means "taken up to heaven bodily" (which happened to the prophet Elijah in that universe). An interesting choice to show how lines of identity work inside a cut. But some example like this is necessary to "unpack" Peirce's opening sentence here, "The more you scribe on the bottom of a cut, the less you assert." This is very important in the interpretation of beta graphs. In the example where a single line of identity connects the two rhemes, Peirce reads it as "Either nobody is translated or if anybody is translated, that person does not return to earth." But strictly speaking, it could also be read the other way round: "Either nobody returns to earth, or if anybody does, that person is not translated." We don't read it that way because we take for granted a temporal order that prevents anybody "returning" from a place where they haven't gone. This is an example of how semantics can affect our reading of system meant to be purely formal (i.e. all syntax, no semantics). In the last two diagrams, lines of identity are permitted to extend to the cut from outside and inside. But why can't we simply have one line of identity that crosses the cut to join the spot inside with the spot outside? This question - which is, if you'll pardon the expression, crucial in the development of EGs - will be addressed in 2.17. Gary f. From: [email protected] [mailto:[email protected]] Sent: 29-Nov-17 08:59 To: [email protected] Subject: [PEIRCE-L] Lowell Lecture 2.16 Continuing from Lowell Lecture 2.15, https://fromthepage.com/jeffdown1/c-s-peirce-manuscripts/ms-455-456-1903-low ell-lecture-ii/display/13624 The more you scribe on the bottom of a cut, the less you assert. Thus means: It is not true that somebody returns to earth nor is it true that somebody is translated. But merely says that both are not true. That is one or [the] other is false. Either nobody returns to earth or else nobody is translated. Add to this a line of identity joining the two and still less is asserted. Either nobody is translated or if anybody is translated, that person does not return to earth. Now take this That means somebody is a prophet but nobody is translated. If we continue the outer line to the cut, it will make no difference for no significance attaches to the shape of the line. If, however, the inner line be extended to join the point on the cut, much less is asserted This means: Somebody is a prophet and this person is not translated; that is Some prophet is not translated. http://gnusystems.ca/Lowell2.htm }{ Peirce's Lowell Lectures of 1903 https://fromthepage.com/jeffdown1/c-s-peirce-manuscripts/ms-455-456-1903-low ell-lecture-ii
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