Adjoints and emergence: Applications of a new theory of adjoint functors

Axiomathes

Volumn 17, Issue 1, 2007, Pages 19-39

  Ellerman, David ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Adjoint functors; Category theory; Emergence; Evolution; Generative grammar; Heteromorphisms; Immune system; Neural selectionism; Selectionist mechanisms; Universal mapping properties

Indexed keywords

EID: 33947712447     PISSN: 11221151     EISSN: 15728390     Source Type: Journal    
DOI: 10.1007/s10516-007-9008-x     Document Type: Article

References (27)

1. Awodey S (1996) Structure in mathematics and logic: a categorical perspective. Philos Math 4:209-237
2. Awodey S (2006) Category theory (Oxford Logic Guides). Oxford University Press, Oxford
3. Burnyeat M (1987) Wittgenstein and Augustine De Magistro. Proce Aristotelian Soc Supp LXI:1-24
4. Chomsky N (1966) Cartesian linguistics. Harper & Row, New York
5. Cziko G (1995) Without miracles: universal selection theory and the second Darwinian revolution. MIT Press (A Bradford Book), Cambridge
6. Dennett D (1995) Darwin's dangerous idea: evolution and the meanings of life. Touchstone, New York
7. Dewey J (1916) Democracy and education. Free Press, New York
8. Descartes R (1975) Philosophical Works of Descartes Vol. I. Translated and Edited by Haldane ES, Ross GRT. Cambridge University Press, New York
9. Edelman GM (1987) Neural Darwinism: the theory of neuronal group selection. Basic Books, New York
10. Edelman GM (2004) Wider Than the Sky: the phenomenal gift of consciousness. Yale University Press, New Haven
11. Edelman GM (2004) Biochemistry and the Sciences of Recognition. J Biol Chem 279(9):7361-7369
12. Edelman G, Tononi G (2000) A universe of consciousness. Basic Books, New York
13. Eilenberg S, Mac Lane S (1945) General Theory of Natural Equivalences. Trans Am Math Soc 58(2):231-94
14. Ellerman D (1988) Category theory and concrete universals. Erkenntnis 28:409-429
15. Ellerman D (1995) Intellectual trespassing as a way of life: essays in philosophy, economics, and mathematics. Rowman & Littlefield, Lanham MD
16. Ellerman D (2006) A theory of adjoint functors-with some thoughts on their philosophical significance. In: Sica G (ed) What is category theory? Polimetrica, Milan, pp 127-183
17. Goldblatt R (2006) Topoi: the categorical analysis of logic. Dover, Mineola NY
18. Heyes C, Hull DL (eds) (2001) Selection theory and social construction: the evolutionary naturalistic epistemology of Donald T Campbell. State University of New York Press, Albany
19. Hull DL (2001) Science and selection: essays on biological evolution and the philosophy of science. Cambridge University Press, New York
20. Humboldt Wv (1997 (1836)) The nature and conformation of language. In: Mueller-Vollmer K (ed) The hermeneutics reader. Continuum, New York
21. Jerne NK (1955) The natural selection theory of antibody formation. Proc Nat Acad Sci USA 41, 849
22. Jerne NK (1967) Antibodies and learning: selection versus instruction. In: Quarton GC, Melnechuk T, Schmitt FO (eds) The neurosciences: a study program. Rockefeller University Press, New York, pp 200-205
23. Mac Lane S (1971) Categories for the working mathematician. Verlag, New York
24. Magnan F, Reyes GE (1994) Category theory as a conceptual tool in the study of cognition. In: Macnamara J, Reyes G E (eds) The logical foundations of cognition. Oxford University Press, New York, pp 57-90
25. Popper KR (1979) Objective knowledge: an evolutionary approach. Clarendon Press, Oxford
26. Popper KR (1985) Popper selections. Princeton University Press, Princeton
27. Taylor P (1999) Practical foundations of mathematics. Cambridge University Press, Cambridge