The Lambda Point : 1

Post   : The Lambda Point : 1
URL    : http://inquiryintoinquiry.com/2013/08/01/the-lambda-point-1/
Posted : August 1, 2013 at 3:00 pm
Author : Jon Awbrey

| A note on the title.  From long ago discussions with Harvey Davis,
| one of my math professors at Michigan State.  I remember telling him
| of my interest in the place where algebra, geometry, and logic meet,
| and he quipped, “Ah yes, the lambda point”, punning on the triple point
| of phase transitions among gaseous, liquid, and solid states.

Re: Cathy O’Neil
At: http://mathbabe.org/2013/07/31/analyzing-the-complexity-of-the-stacks-project-graphs/

One of the insights coming out of C.S. Peirce’s work on logic, informing the development of his logical graphs,
is that negative logical relations are more fundamental than positive logical relations, since the right set
of negative relations can generate all possible logical relations, but no set of purely positive relations
can do all that.  That is the gist of it, put very roughly, modulo the right definitions of positive and
negative relations, of course.

We see this theme exhibited in the generative power of the NAND and NNOR operators
for propositional calculus, operators that Peirce discovered early on and dubbed
the “amphecks”.

Refs:

• http://intersci.ss.uci.edu/wiki/index.php/Ampheck
• http://intersci.ss.uci.edu/wiki/index.php/Logical_NAND
• http://intersci.ss.uci.edu/wiki/index.php/Logical_NNOR

-- 

academia: http://independent.academia.edu/JonAwbrey
my word press blog: http://inquiryintoinquiry.com/
inquiry list: http://stderr.org/pipermail/inquiry/
mwb: http://www.mywikibiz.com/Directory:Jon_Awbrey
oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey
facebook page: https://www.facebook.com/JonnyCache