Topology and life redux: Robert Rosen's relational diagrams of living systems

Axiomathes

Volumn 17, Issue 2, 2007, Pages 109-136

  Louie, A H ^a   Kercel, Stephen W ^b  

^a University of New England ^*  (Canada)

^b UNIVERSITY OF NEW ENGLAND   (United States)

Author keywords

Closure to efficient causation; Noncomputability; Relational biology; Robert Rosen; Traversability

Indexed keywords

EID: 35649001045     PISSN: 11221151     EISSN: 15728390     Source Type: Journal    
DOI: 10.1007/s10516-007-9014-z     Document Type: Article

References (29)

1. Azcel P (1988) Non-well-founded sets. Center for the Study of Language and Information, Stanford California.
2. Barwise J, Etchemendy J (1992) The language of first order logic, 3rd edn. Center for the Study of Language and Information, Stanford, California
3. Brooks R (2002) Beyond computation: a talk with Rodney Brooks. In: Edge: the third culture. Retrieved September 11, 2006 from http://www.edge.org/ 3rd_culture/brooks_beyond/beyond_index.html
4. Devlin K (1991) The joy of sets, 2nd edn. Springer, New York
5. Church A (1937) Review of Turing 1936. J Symbolic Logic 2:42-43
6. Euler L (1736) The seven bridges of Königsberg. In: Newman JR (ed) The world of mathematics (1956, vol 1). Simon and Schuster, New York, pp 573-580
7. Gross JL, Yellen J (1999) Graph theory and its applications. CRC Press, Boca Raton, Florida
8. Jaynes ET (1994) Probability theory: the logic of science. Fragmentary Edition of June 1994. Retrieved September 11, 2006 from http://www.omega.math. albany.edu:8008/JaynesBook.html
9. Kercel SW (2002) Endogenous causes-bizarre effects. Evol Cognition 8(2):130-144
10. Kercel SW (2004a) The role of volume transmission in the endogenous brain. J Integr Neurosci 3:7-18
11. Kercel SW (2004b) The endogenous brain. J Integr Neurosci 3:61-84
12. Kercel SW (2007) Entailment of ambiguity. Chemistry & Biodiversity, accepted, in press
13. Louie AH (1985) Categorical system theory. In: Rosen R (ed) Theoretical biology and complexity: three essays on the natural philosophy of complex systems. Academic Press, Orlando, Florida, pp 69-163
14. Louie AH (2005) Any material realization of the (M,R)-systems must have noncomputable models. J Integr Neurosci 4:423-436
15. Louie AH (2006) (M,R)-systems and their realizations. Axiomathes 16(1-2):35-64
16. Louie AH (2007) A Rosen etymology. Chemistry & Biodiversity, accepted, in press
17. Mac Lane S (1978) Categories for the working mathematician, 2nd edn. Springer-Verlag, New York
18. Quine WVO (1980) Two dogmas of empiricism. In: Quine WVO (ed) From a logical point of view, 2nd edn. Harvard University Press, Cambridge Massachusetts, pp 20-46
19. Rashevsky N (1954) Topology and life: in search of general mathematical principles in biology and sociology. Bull Math Biophys 16:317-348
20. Rosen R (1972) Some relational cell models: the metabolism-repair systems. In: Rosen R (ed) Foundations of mathematical biology, vol 2. Academic Press, New York, pp 217-253
21. Rosen R (1978) Fundamentals of measurement and representation of natural systems. North-Holland, New York
22. Rosen R (1985a) Anticipatory systems. Pergamon Press, Oxford
23. Rosen R (1985b) Organisms as causal systems which are not mechanisms: An essay into the nature of complexity. In: Rosen R (ed) Theoretical biology and complexity: three essays on the natural philosophy of complex systems. Academic Press, Orlando, Florida, pp 165-203
24. Rosen R (1991) Life itself. Columbia University Press, New York
25. Rosen R (2000) Essays on life itself. Columbia University Press, New York
26. Rosen R (2003) Rosennean complexity. Unpublished manuscript available by special order. Rochester New York: Rosen Enterprises. Retrieved September 14, 2006 from http://www.rosen-enterprises.com
27. Trudeau R (1993) Introduction to graph theory. Dover Publications, Inc, Mineola, New York
28. von Neumann J (1963) The general and logical theory of automata. (From the 1948 Hixson Lecture) In: Taub AH (ed) John von Neumann collected works, vol 5. Pergamon, New York
29. von Neumann J (1966) In: Burks AW (ed) Theory of self-reproducing automata. University of Illinois Press, Urbana Illinois