Biology Reference
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(1902-1994), Rosen (1934-1998), and Wheeler (1911-2008)
Category class
Nodes
Arrows
Examples
Morphisms a
Class I category
Objects
A B
AB (arrow) = Matter/energy
(conservation of mattergy )
Life of knowledge/information
(conservation of liformation b ?)
Functor c
Class II category
Categories
C
A . . . . . . . . . . . B
A = Mattergy
B = Liformation or
Infoknowledge d
C = Category of gnergons e
Functor = the principle of
complementarity (?)
Natural Information f
Class III category
(or the functor
category)
Functors
f
A
B
h
g
D
C
k
g f=k h
A = Gnergy g (or Natural Law of
Rosen ?)
a Characcterize the structure of a category
b The hybrid term indicating the combination of life and information in analogy to mattergy , the
combination of matter and energy ; see Scheme (21.4)
c A higher-level morphism characterizing the structural relationships between categories
d The hybrid term indicating the combination of information and knowledge, in analogy to
mattergy; see Scheme (21.3)
e The discrete units of gnergy such as conformons, the conformational energy packets localized at
sequence-specific sites within biopolymers (see Chap. 8) and dissipatons (Chap. 3.1.5)
f “morphisms from functor to functor which preserves the full structure of morphism composition
within the categories mapped by functors” (downloaded from Mark C. Chu-Carroll's post dated
6/19/2006)
g
The hybrid term constructed from information (gn-) and energy (-ergy) that is postulated to
represent the material source and the organizational force of our Universe (Ji 1991, 2012)
Gnergy
i
j
k
Fig. 21.3 Liformation,
mattergy, and infoknowledge
as the reification of gnergy
Liformation......
Mattergy......
Infoknowledge
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