This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.
and G. Longo
) Mathematics and Natural Sciences. The physical singularity of Life
, Imperial College Press
. (The original book was in French: Hermann, Paris, 2006; the Introduction and Longo's papers are available from http://www.di.ens.fr/users/longo
F. Bailly and G. Longo (2008) Extended Critical Situation. Journal of Biological Systems 16 (2) 309–336.
F. Bailly and G. Longo (2009) Biological Organization and Anti-Entropy. Journal of Biological Systems 17 (1) 63–96.
M. Braverman and M. Yampolski (2006) Non-computable Julia sets. Journal of the American Mathematical Society 19 551–578.
C. Calude (2002) Information and randomness, Springer-Verlag.
B. S. Cooper and P. Odifreddi (2003) Incomputability in Nature. In: B. S. Cooper and S. S. Goncharov (eds.) Computability and Models – Perspectives East and West, Kluwer Academic/Plenum137–160.
J. Costa , B. Lo and J. Mycka (2009) A foundation for real recursive function theory. Annals of Pure and Applied Logic 160 (3) 255–288.
N. da Costa and F. Doria (1991) Undecidability and incompleteness in classical mechanics. International Journal of Theoretical Physics 30 1041–1073.
P. Gacs , M. Hoyrup and C. Rojas (2011) Randomness on Computable Probability Spaces – A Dynamical Point of View. In: S. Albers and J.-Y. Marion (eds.) Preface: Special Issue on Theoretical Aspects of Computer Science (STACS). Theory of Computing Systems 48 (3) 465–485.
M. Kaern , T. C. Elston , W. J. Blake and J. J. Collins (2005) Stocasticity in gene expression: from theories to phenotypes. Nature Review Genetics 6 451–464.
J. Krivine , R. Milner and A. Troina (2008) Stochastic Bigraphs. Proceedings of MFPS XXIV: Mathematical Fondations of Programming Semantics. Electronic Notes in Theoretical Computer Science 218 73–96.
T. S. Kuhn (1961) The Function of Measurement in Modern Physical Science. Isis 52 161–193.
J.-J. Kupiec (2009) On the lack of specificity of proteins and its consequences for a theory of biological organzation. Progress in Biophysics and Molecular Biology 102 (1) 45–52.
G. Longo (2002) Reflections on Concrete Incompleteness: Invited Lecture. In: P. Callaghan , Z. Luo , J. McKinna and R. Pollack (eds.) Types for Proofs and Programs. Springer-Verlag Lecture Notes in Computer Science 2277 160–180. (Revised version in Philosophia Mathematica (2011) 19 (3) 255–280.)
G. Longo (2009) From exact sciences to life phenomena: following Schroedinger and Turing on Programs, Life and Causality. Information and Computation 207 (5) 543–670.
G. Longo (2010a) Incomputability in Physics. In: F. Ferreira , B. Löwe , E. Mayordomo and L. Mendes Gomes (eds.) Programs, Proofs, Processes: Proceedings 6th Conference on Computability in Europe, CiE 2010. Springer-Verlag Lecture Notes in Computer Science 6158 276–285.
G. Longo and M. Montévil (2011) From Physics to Biology by Extending Criticality and Symmetry Breakings. Progress in Biophysics and Molecular Biology 106 (2) 340–347.
G Longo and P.-E. Tendero (2007) The differential method and the causal incompleteness of Programming Theory in Molecular Biology. Foundations of Science 12 337–366.
C. Moore (1990) Unpredictability and undecidability in dynamical systems. Physical Review Letters 64 (20) 2354–2357.
M. Mossio , G. Longo and J. Stewart (2009) Computability of closure to efficient causation. Journal of Theoretical Biology 257 (3) 489–498.
H. Poincaré (1903) Review of Hilbert's Foundations of geometry. Bulletin of the American Mathematical Society 10 (1) 1–23.
M. B. Pour-El and J. I. Richards (1989) Computability in analysis and physics. Perspectives in Mathematical Logic 1, Springer-Verlag.
A. Raj and A. van Oudenaarden (2008) Nature, nurture, or chance: stochastic gene expression and its consequences. Cell 135 216–226.
K. Svozil (1993) Randomness and undecidability in Physics, World Scientific.
A. M. Turing (1950) Computing Machines and Intelligence. Mind LIX (236) 433–460.
L. J. Young , R. Nilsen , K. G. Waymire , G. R. MacGregor and T. R. Insel (1999) Increased affiliative response to vasopressin in mice expressing the V1a receptor from a monogamous vole Nature 400 766–768.
H. Weyl (1985) Axiomatic Versus Constructive Procedures in Mathematics (edited by T. Tonietti ). The Mathematical Intelligencer 7 (4).