Peircers,
Here is my next installment:
Theme One • A Program Of Inquiry : 10
http://inquiryintoinquiry.com/2018/03/18/theme-one-%e2%80%a2-a-program-of-inquiry-10/
Re: Laws Of Form Discussion
https://groups.yahoo.com/neo/groups/lawsofform/conversations/topics/3625
Re: Peirce List Discussion
https://list.iupui.edu/sympa/arc/peirce-l/2018-03/thrd1.html#00001
Lexical, Literal, Logical
=========================
Theme One puts cactus graphs to work in three distinct but related ways, called lexical, literal, and logical uses, and
these applications make use of three distinct but overlapping subsets of the broader species of cacti. Thus we may find
ourselves speaking of expressions, graphs, or files of lexical, literal, or logical types, depending on our focus and
point of view at a given moment.
Logical cacti are the most inclusive class, encompassing the whole species of structures described above, and so we have
already seen a typical example of a logical cactus, in its avatars as an abstract graph, a pointer structure, and a
string of characters suitable for storage in an external text file.
But being a logical cactus is not just a matter of syntactic form — it means being subject to meaningful interpretations
as a sign of a logical proposition. From a logical perspective we expect our cactus expressions to express something,
to represent a proposition that can be true or false of something.
For present purposes it will speed things along to skip the discussion of lexical and literal cacti and jump right to
the logical and semantic interpretation of cactus graphs. Readers seeking immediate enlightenment about the details may
peruse the outline of notes given below. My next post will take up the discussion at Note 13.
[Omitted here. See the blog post for the links.]
Resources
=========
* Theme One Program • Exposition
http://intersci.ss.uci.edu/wiki/index.php/Theme_One_Program_%E2%80%A2_Exposition
* Theme One Program • Expository Note 5
http://intersci.ss.uci.edu/wiki/index.php/Theme_One_Program_%E2%80%A2_Exposition#Expository_Note_5
Regards,
Jon
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