D. Aharonov, QUANTUM COMPUTATION, Annual Reviews of Computational Physics VI. World Scientific, 1998.
DOI : 10.1142/9789812815569_0007
URL : https://hal.archives-ouvertes.fr/cel-00092985

D. M. Appleby, The Bell???Kochen???Specker theorem, Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, vol.36, issue.1, p.308114, 2003.
DOI : 10.1016/j.shpsb.2004.05.003

M. D. Barrett, Deterministic quantum teleportation of atomic qubits, Nature, vol.2, issue.6993, pp.737-739, 2004.
DOI : 10.1103/PhysRevLett.81.1525

J. Bell, On the Einstein-Podolsky-Rosen paradox, Physica, vol.1, pp.195-200, 1964.

J. Bell, On the Problem of Hidden Variables in Quantum Mechanics, Reviews of Modern Physics, vol.38, issue.3, pp.447-452, 1966.
DOI : 10.1103/RevModPhys.38.447

E. G. Beltrametti and G. Cassinelli, The logic of quantum mechanics, 1981.

P. Benioff, The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines, Journal of Statistical Physics, vol.75, issue.5, pp.563-591, 1980.
DOI : 10.1007/BF01011339

P. Benioff, Quantum mechanical hamiltonian models of turing machines, Journal of Statistical Physics, vol.22, issue.3, pp.515-546, 1982.
DOI : 10.1007/BF01342185

C. Bennett, Logical Reversibility of Computation, IBM Journal of Research and Development, vol.17, issue.6, pp.525-532, 1973.
DOI : 10.1147/rd.176.0525

C. H. Bennett, The thermodynamics of computation???a review, International Journal of Theoretical Physics, vol.25, issue.No. 5, pp.905-940, 1982.
DOI : 10.1007/BF02084158

H. Bergeron, From classical to quantum mechanics: ???How to translate physical ideas into mathematical language???, Journal of Mathematical Physics, vol.42, issue.9, pp.3983-4019, 2001.
DOI : 10.1063/1.1386410

L. Birke, J. Frölich, and . Kms, KMS, ETC., Reviews in Mathematical Physics, vol.14, issue.07n08, pp.829-871, 2002.
DOI : 10.1142/S0129055X02001442

G. Birkhoff and J. Von-neumann, The Logic of Quantum Mechanics, The Annals of Mathematics, vol.37, issue.4, pp.823-843, 1936.
DOI : 10.2307/1968621

M. Bitbol, Some steps towards a transcendental deduction of quantum mechanics, Philosophia Naturalis, vol.35, pp.253-280, 1998.

M. Bitbol, Physique quantique et cognition, Revue Internationale de Philosophie, vol.212, issue.2, pp.299-328, 2000.

N. Block, O. Flanagan, and G. Güzeldere, The Nature of Consciousness, 1997.

N. Bohr, Atomic Theory and the Description of Nature, American Journal of Physics, vol.30, issue.9, 1934.
DOI : 10.1119/1.1942160

N. Bohr, Can Quantum-Mechanical Description of Physical Reality be Considered Complete?, Physical Review, vol.48, issue.8, pp.696-702, 1935.
DOI : 10.1103/PhysRev.48.696

M. Born, The Born-Einstein letters, 1971.

T. Breuer, The Impossibility of Accurate State Self-Measurements, Philosophy of Science, vol.62, issue.2, pp.197-214, 1995.
DOI : 10.1086/289852

C. Brukner, M. Aspelmeyer, and A. Zeilinger, Compelentarity and information in " Delayed-choice for entanglement swapping, p.405036, 2004.

C. Brukner and A. Zeilinger, Conceptual inadequacy of the Shannon information in quantum measurements, Physical Review A, vol.63, issue.2, p.22113, 2001.
DOI : 10.1103/PhysRevA.63.022113

C. Brukner and A. Zeilinger, Information and Fundamental Elements of the Structure of Quantum Theory, Time, Quantum, Information, pp.323-356, 2003.
DOI : 10.1007/978-3-662-10557-3_21

J. Bub, What does Quantum Logic Explain?, Current Issues in Quantum Logic, pp.89-100, 1981.
DOI : 10.1007/978-1-4613-3228-2_6

J. Bub, Interpreting the Quantum World, 1997.

J. Bub, Maxwell's demon and the thermodynamics of computation. Studies in the History and Philosophy of Modern Physics, pp.569-579, 2001.

J. Bub, Why the quantum? Studies in the History and Philosophy of Modern Physics, pp.241-266, 2004.

D. Buchholz, S. Doplicher, and R. Longo, On Noether's theorem in quantum field theory, Annals of Physics, vol.170, issue.1, pp.1-17, 1986.
DOI : 10.1016/0003-4916(86)90086-2

D. Buchholz and E. H. Wichmann, Causal independence and the energy-level density of states in local quantum field theory, Communications in Mathematical Physics, vol.59, issue.2, pp.321-344, 1986.
DOI : 10.1007/BF01454978

D. Chalmers, The Conscious Mind, 1996.

J. F. Clauser, R. A. Holt, M. A. Horne, and A. Shimony, Proposed experiment to test local hidden-variable theories, pp.880-884, 1969.

R. Clifton, J. Bub, and H. Halvorson, Characterizing quantum theory in terms of information-theoretic constraints, Foundations of Physics, vol.33, issue.11, pp.1561-1591, 2003.
DOI : 10.1023/A:1026056716397

P. M. Cohn, Universal algebra. Harper and Row, 1965.

A. Connes, Une classification des facteurs de type ${\rm III}$, Annales scientifiques de l'??cole normale sup??rieure, vol.6, issue.2
DOI : 10.24033/asens.1247

A. Connes, Classification of Injective Factors Cases II 1 , II ??? , III ?? , ?? ??? 1, The Annals of Mathematics, vol.104, issue.1, pp.73-115, 1976.
DOI : 10.2307/1971057

A. Connes, Noncommutative geometry, 1994.
DOI : 10.4171/owr/2007/43
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.101.6447

A. Connes and C. Rovelli, Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories, Classical and Quantum Gravity, vol.11, issue.12, pp.2899-2918, 1994.
DOI : 10.1088/0264-9381/11/12/007

T. Cormen, C. Leiserson, and R. Rivest, Introduction to algorithms, 1990.

E. B. Davies and J. T. Lewis, An operational approach to quantum probability, Communications in Mathematical Physics, vol.42, issue.2, pp.239-260, 1970.
DOI : 10.1007/BF01647093

D. Deutsch and R. Jozsa, Rapid Solution of Problems by Quantum Computation, Proc. Roy. Soc. Lond. A, pp.553-558, 1992.
DOI : 10.1098/rspa.1992.0167

M. Drieschner, Lattice theory, groups and space, Quantum Theory and the Structures of Time and Space, pp.55-70, 1975.

J. Dupuy, TWO TEMPORALITIES, TWO RATIONALITIES: A NEW LOOK AT NEWCOMB'S PARADOX, Economics and Cognitive Science, pp.191-220, 1992.
DOI : 10.1016/B978-0-08-041050-0.50023-6

J. Dupuy, The Mechanization of the Mind, 2000.

J. Dupuy, Philosophical foundations of a new concept of equilibrium in the social sciences: Projected equilibrium, Philosophical Studies, vol.100, issue.3, pp.323-345, 2000.
DOI : 10.1023/A:1018632810498

J. Dupuy and A. Grinbaum, Living with uncertainty: Toward the ongoing normative assessment of nanotechnology. Hyle / Techne

R. Duvenhage, The nature of information in quantum mechanics, Foundations of Physics, vol.32, issue.9, pp.1399-1417, 2002.
DOI : 10.1023/A:1020359806696

J. Earman and J. D. Norton, Exorcist XIV: The wrath of Maxwell's demon. Part I. From Maxwell to Szilard. Studies in the History and Philosophy of Modern Physics, pp.435-471, 1998.

J. Earman and J. D. Norton, Exorcist XIV: The wrath of Maxwell's demon. Part II. From Szilard to Landauer and beyond. Studies in the History and Philosophy of Modern Physics, pp.1-40, 1999.

D. Heiss, Fundamentals of Quantum Information: Quantum Computation, Communication, Decoherence and All That, 2002.
DOI : 10.1007/3-540-45933-2

A. Einstein, Quoted in: A. Forsee Albert Einstein, Theoretical Physicist, p.81, 1963.

A. Einstein, N. Rosen, and B. Podolsky, Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?, Physical Review, vol.47, issue.10, p.777, 1935.
DOI : 10.1103/PhysRev.47.777

G. G. Emch, Algebraic methods in statistical mechanics and quantum field theory, 1972.

H. Everett, "Relative State" Formulation of Quantum Mechanics, Reviews of Modern Physics, vol.29, issue.3, p.454, 1957.
DOI : 10.1103/RevModPhys.29.454

R. Feynman, Simulating physics with computers, International Journal of Theoretical Physics, vol.21, issue.6-7, pp.467-488, 1982.
DOI : 10.1007/BF02650179

R. Feynman, Quantum mechanical computers, Foundations of Physics, vol.6, issue.6, pp.507-531, 1986.
DOI : 10.1007/BF01886518

M. Florig and S. J. Summers, On the statistical independence of algebras of observables, Journal of Mathematical Physics, vol.38, issue.3, pp.1318-1328, 1997.
DOI : 10.1063/1.531812

V. Fock, Nachala kvantovoi mehaniki, 1932.

C. A. Fuchs, Quantum foundations in the light of quantum information, Decoherence and its Implications in Quantum Computation and Information Transfer: Proceedings of the NATO Advanced Research Workshop, pp.39-82, 2000.

C. A. Fuchs, Quantum mechanics (and only a little more), Quantum Theory: Reconsideration of foundations, pp.463-543, 2002.

C. A. Fuchs, Notes on a Paulian idea: Foundational, Historical, Anecdotal and Forward-Looking Thoughts on the Quantum, 2003.

C. A. Fuchs, On the quantumness of a Hilbert space, p.404122, 2004.

C. A. Fuchs and K. Jacobs, Information-tradeoff relations for finite-strength quantum measurements, Physical Review A, vol.63, issue.6, p.62305, 2001.
DOI : 10.1103/PhysRevA.63.062305

G. C. Ghirardi, A. Rimini, and T. Weber, Unified dynamics for microscopic and macroscopic systems, Physical Review D, vol.34, issue.2, pp.470-479, 1986.
DOI : 10.1103/PhysRevD.34.470

A. Gleason, Measures on the closed subspaces of a Hilbert space, Journal of Mathematics and Mechanics, vol.6, pp.885-894, 1967.

D. M. Greenberger, M. A. Horne, and A. Zeilinger, Going beyond Bell's theorem, editor, Bell's theorem, quantum theory and conceptions of the Universe, Kluwer Academic, pp.73-76, 1989.

A. Grinbaum, ELEMENTS OF INFORMATION-THEORETIC DERIVATION OF THE FORMALISM OF QUANTUM THEORY, International Journal of Quantum Information, vol.01, issue.03, pp.289-300, 2003.
DOI : 10.1142/S0219749903000309

A. Grinbaum, On the philosophy of physics. Zvezda, 2003.

A. Grinbaum, Elements of information-theoretic derivation of the formalism of quantum theory Quantum theory: Reconsideration of Foundations -2, Proceedings of International Conference, pp.205-217, 2004.

H. Gross and U. Künzi, On a class of orthomodular quadratic spaces, Enseign. Math, vol.31, pp.187-212, 1985.

J. Guenin, Axiomatic Foundations of Quantum Theories, Journal of Mathematical Physics, vol.7, issue.2, pp.271-282, 1966.
DOI : 10.1063/1.1704929

J. Gunson, On the algebraic structure of quantum mechanics, Communications in Mathematical Physics, vol.120, issue.4, pp.262-285, 1967.
DOI : 10.1007/BF01646019

R. Haag, Local Quantum Physics, 1996.
DOI : 10.1007/978-3-642-97306-2

R. Haag and D. Kastler, An Algebraic Approach to Quantum Field Theory, Journal of Mathematical Physics, vol.5, issue.7, pp.848-861, 1964.
DOI : 10.1063/1.1704187

R. Haag, N. M. Hugenholtz, and M. Winnik, On the equilibrium states in quantum statistical mechanics, Communications in Mathematical Physics, vol.70, issue.3, p.215, 1967.
DOI : 10.1007/BF01646342

U. Haagerup, Conne???s bicentralizer problem and uniqueness of the injective factor of type III1, Acta Mathematica, vol.158, issue.0, pp.95-148, 1987.
DOI : 10.1007/BF02392257

R. Hagedorn, Statistical thermodynamics of strong interactions at high energies, Nuovo Cim. Supp, vol.3, issue.2, p.147, 1965.

H. Halvorson, Remote preparation of arbitrary ensembles and quantum bit commitment, Journal of Mathematical Physics, vol.45, issue.12, pp.quant-ph, 2003.
DOI : 10.1063/1.1812827

L. Hardy, Quantum theory from five reasonable axioms, 2001.

L. Hardy, Why Quantum Theory?, Proceedings of the NATO Advances Research Workshop on Modality, Probability, and Bell's theorem, 2002.
DOI : 10.1007/978-94-010-0385-8_4

J. B. Hartle, Quantum kinematics of spacetime. I. Nonrelativistic theory, Physical Review D, vol.37, issue.10, pp.2818-2832, 1988.
DOI : 10.1103/PhysRevD.37.2818

W. Heisenberg, Zeit für Phys, p.72, 1927.

C. Held, Kochen???Specker Theorem, The Stanford Encyclopedia of Philosophy, 2000.
DOI : 10.1007/978-3-540-70626-7_104

M. Heller and W. Sasin, Emergence of time, Physics Letters A, vol.250, issue.1-3, pp.48-54, 1998.
DOI : 10.1016/S0375-9601(98)00824-X

A. Heyting, Axiomatic projective geometry. North-Holland, 1963.

D. Hilbert, J. Von-neumann, and L. Nordheim, ???ber die Grundlagen der Quantenmechanik, Mathematische Annalen, vol.40, issue.1, pp.1-30, 1927.
DOI : 10.1007/BF01451579

P. Hislop and R. Longo, Modular structure of the local algebras associated with the free massless scalar field theory, Communications in Mathematical Physics, vol.36, issue.1, pp.71-86, 1982.
DOI : 10.1007/BF01208372

S. S. Holland-jr, Orthomodularity in infinite dimensions; A theorem of M. Sol\`er, Bulletin of the American Mathematical Society, vol.32, issue.2, pp.205-234, 1995.
DOI : 10.1090/S0273-0979-1995-00593-8

L. Hughston, R. Jozsa, and W. Wootters, A complete classification of quantum ensembles having a given density matrix, Physics Letters A, vol.183, issue.1, pp.14-18, 1993.
DOI : 10.1016/0375-9601(93)90880-9

E. Husserl, The Crisis of European Sciences and Transcendental Phenomenology English translation, 1937.

J. M. Jauch, Foundations of Quantum Mechanics, American Journal of Physics, vol.36, issue.8, 1968.
DOI : 10.1119/1.1975143

T. Jennewein, G. Weihs, J. Pan, and A. Zeilinger, Experimental Nonlocality Proof of Quantum Teleportation and Entanglement Swapping, Physical Review Letters, vol.88, issue.1, p.17903, 2002.
DOI : 10.1103/PhysRevLett.88.017903

T. Jennewein, G. Weihs, J. Pan, and A. Zeilinger, Reply to Riff's comment on " Experimental nonlocality proof of quantum teleportation and entanglement swapping, p.303104, 2003.

P. Jordan, J. Von-neumann, and E. Wigner, On an Algebraic Generalization of the Quantum Mechanical Formalism, The Annals of Mathematics, vol.35, issue.1, pp.29-34, 1934.
DOI : 10.2307/1968117

R. Jozsa, Illustrating the concept of quantum information, IBM Journal of Research and Development, vol.48, issue.1, pp.79-85, 2004.
DOI : 10.1147/rd.481.0079

S. Kakutani and G. Mackey, Ring and lattice characterizations of complex Hilbert space, Bulletin of the American Mathematical Society, vol.52, issue.8, pp.727-733, 1946.
DOI : 10.1090/S0002-9904-1946-08644-9

G. Kalmbach, On Orthomodular Lattices, 1983.
DOI : 10.1007/978-1-4899-3558-8_9

G. Kalmbach, Measures and Hilbert lattices, World Scientific, 1986.
DOI : 10.1142/0206

H. A. Keller, On the lattice of all closed subspaces of a Hermitian space, Pacific Journal of Mathematics, vol.89, issue.1, pp.105-107, 1980.
DOI : 10.2140/pjm.1980.89.105

S. Kochen and E. Specker, The problem of hidden variables in quantum mechanics, Journal of Mathematics and Mechanics, vol.17, pp.59-87, 1967.

S. Kochen and E. P. Specker, Logical structures arising in quantum theory The Theory of Models, 1965.

A. N. Kolmogorov, Grundbegriffe der Wahrscheinlichkeitsrechtung, 1933.

K. Kraus, General quantum field theories and strict locality, Zeitschrift f???r Physik, vol.181, issue.1, pp.1-12, 1964.
DOI : 10.1007/BF01383914

K. Kraus, States, Effects, and Operations. Fundamental Notions of Quantum Theory, 1983.
DOI : 10.1007/3-540-12732-1

A. Lambert-moghiliansky, S. Zamir, and H. Zwirn, Type indeterminacy: A model of the KT(Kahneman???Tversky)-man, Journal of Mathematical Psychology, vol.53, issue.5, 2003.
DOI : 10.1016/j.jmp.2009.01.001

R. Landauer, Irreversibility and Heat Generation in the Computing Process, IBM Journal of Research and Development, vol.5, issue.3, pp.183-191, 1961.
DOI : 10.1147/rd.53.0183

R. Landauer, Computation: A Fundamental Physical View, Physica Scripta, vol.35, issue.1, p.88, 1987.
DOI : 10.1088/0031-8949/35/1/021

N. P. Landsman, Mathematical Topics Between Classical and Quantum Mechanics . Spinger, 1998.

A. F. Losev, Samoe samo, 1936.

G. Ludwig, An Axiomatic Basis for Quantum Mechanics, 1985.

G. W. Mackey, Quantum Mechanics and Hilbert Space, The American Mathematical Monthly, vol.64, issue.8, pp.45-57, 1957.
DOI : 10.2307/2308516

A. R. Marlow, ORTHOMODULAR STRUCTURES AND PHYSICAL THEORY, Mathematical Foundations of Quantum Theory, pp.59-70, 1978.
DOI : 10.1016/B978-0-12-473250-6.50008-X

N. D. Megill and M. Pavi?i?, Equations, states, and lattices of infinitedimensional Hilbert spaces, International Journal of Theoretical Physics, vol.39, issue.10, pp.2337-2379, 2000.
DOI : 10.1023/A:1026461417704

M. B. Mensky, Quantum Measurements and Decoherence. Models and Phenomenology, 2000.
DOI : 10.1007/978-94-015-9566-7

N. D. Mermin, What is quantum mechanics trying to tell us?, American Journal of Physics, vol.66, issue.9, pp.753-767, 1998.
DOI : 10.1119/1.18955

T. Metzinger, Conscious Experience, Imprint Academic, 1995.

P. Mittelstaedt, Quantum logic, 1978.

P. Mittelstaedt, The Interpretation of Quantum Mechanics and the Measurement Problem, 1998.

P. Mittelstaedt, Private communication, 2004.

F. J. Murray and J. Von-neumann, On Rings of Operators, The Annals of Mathematics, vol.37, issue.1, pp.116-229, 1936.
DOI : 10.2307/1968693

F. J. Murray and J. Von-neumann, On Rings of Operators. IV, The Annals of Mathematics, vol.44, issue.4, pp.716-808, 1944.
DOI : 10.2307/1969107

S. Nakajima and A. , Foundations of Quantum Mechanics in the Light of New Technology: Selected Papers from the Proceedings of the First through Fourth International Symposia on Foundations of Quantum Mechanics, World Scientific, vol.4, 2001.
DOI : 10.1142/3268

M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information, 2000.

R. Penrose, Gravity and state vector reduction, Quantum Concepts in Space and Time, p.129, 1986.

A. Peres, Quantum Theory: Concepts and Methods, 1993.

A. Peres, What is actually teleported?, IBM Journal of Research and Development, vol.48, issue.1, pp.63-69, 2004.
DOI : 10.1147/rd.481.0063

A. Petersen, The Philosophy of Niels Bohr, Bulletin of the Atomic Scientists, vol.19, issue.7, pp.8-14, 1963.
DOI : 10.1080/00963402.1963.11454520

J. Petitot, Philosophie transcendantale et objectivit?? physique, Philosophiques, vol.24, issue.2, pp.367-388, 1997.
DOI : 10.7202/027459ar
URL : http://www.erudit.org/revue/philoso/1997/v24/n2/027459ar.pdf

J. Petitot, F. Varela, B. Pachoud, and J. Roy, Naturalizing Phenomenology: Issues in Contemporary Phenomenology and Cognitive Science, 1999.

C. Piron, Axiomatique quantique. Helvetia Physica Acta, pp.439-468, 1964.

C. Piron, Survey of general quantum physics, Foundations of Physics, vol.42, issue.4, pp.287-314, 1972.
DOI : 10.1007/BF00708413

A. Plotnitsky, On the character of Bohr's complementarity Quantum theory: Reconsideration of Foundations -2, Proceedings of International Conference, pp.767-780, 2004.

R. J. Plymen, C*-algebras and Mackey's axioms, Communications in Mathematical Physics, vol.6, issue.suppl. 2, pp.132-146, 1968.
DOI : 10.1007/BF01645801

R. J. Plymen, A modification of Piron's axioms. Helvetia Physica Acta, pp.69-74, 1968.

J. C. Pool, Baer *-Semigroups and the Logic of Quantum Mechanics, Comm. Math. Phys, vol.9, pp.118-141, 1968.
DOI : 10.1007/978-94-010-1795-4_21

J. C. Pool, Semimodularity and the logic of quantum mechanics, Communications in Mathematical Physics, vol.11, issue.3, pp.212-228, 1968.
DOI : 10.1007/BF01645687

H. Price, Time's arrow and Archimedes' point, 1996.

E. Prugove?ki, Quantum Mechanics in Hilbert Space, American Journal of Physics, vol.41, issue.10, 1971.
DOI : 10.1119/1.1987530

M. O. Rabin, Probabilistic algorithms In Algorithms and complexity: New directions and Recent Results, pp.21-39, 1976.

M. Rédei, Quantum Logic in Algebraic Approach, 1998.
DOI : 10.1007/978-94-015-9026-6

M. Redhead, Incompleteness, Nonlocality and Realism. A Prolegomenon to the Philosophy of Quantum Mechanics, 1987.

R. D. Richtmyer, Principles of advanced mathematical physics, 1978.

M. Riebe, Deterministic quantum teleportation with atoms, Nature, vol.299, issue.6993, pp.734-737, 2004.
DOI : 10.1103/PhysRev.80.580

C. Rovelli, Quantum mechanics without time: A model, Physical Review D, vol.42, issue.8, pp.2638-2646, 1990.
DOI : 10.1103/PhysRevD.42.2638

C. Rovelli, Time in quantum gravity: An hypothesis, Physical Review D, vol.43, issue.2, pp.442-456, 1991.
DOI : 10.1103/PhysRevD.43.442

C. Rovelli, Relational quantum mechanics, International Journal of Theoretical Physics, vol.26, issue.4, p.1637, 1996.
DOI : 10.1007/BF02302261

C. Rovelli, Quantum Gravity, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01255344

L. C. Ryff, Comment on Experimental nonlocality proof of quantum teleportation and entanglement swapping, p.303082, 2003.

S. Saunders, Derivation of the Born rule from operational assumptions, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.460, issue.2046, pp.1771-1788, 2004.
DOI : 10.1098/rspa.2003.1230

L. J. Savage, The foundations of statistics, 1954.

R. Schack, Quantum theory from four of Hardy's axioms. Found. Phys, pp.1461-1468, 2003.

E. Scrödinger, Die gegenw???rtige Situation in der Quantenmechanik, Die Naturwissenschaften, vol.23, issue.48, pp.807-812, 1935.
DOI : 10.1007/BF01491891

J. Searle, In the brain's mind a computer program? Scientific American, pp.26-31, 1990.

J. Searle, The Construction of Social Reality, 1995.

J. Searle, Talk given atColì ege de France, 2001.

I. Segal, Postulates for General Quantum Mechanics, The Annals of Mathematics, vol.48, issue.4, pp.930-948, 1947.
DOI : 10.2307/1969387

I. Segal, Mathematical Problems of Relativistic Physics, 1963.

C. E. Shannon, The mathematical theory of communication, 1949.

P. Shor, Algorithms for quantum computation: discrete logarithms and factoring, Proceedings 35th Annual Symposium on Foundations of Computer Science, 1994.
DOI : 10.1109/SFCS.1994.365700

M. P. Soì-er, Characterization of Hilbert spaces with orthomodular spaces, Comm. Algebra, vol.23, pp.219-243, 1995.

E. P. Specker, Die Logik nicht gleichzeitig entscheidbarer Aussagen. Dialectica, English translation in [94, pp.239-246, 1960.

R. Spekkens, Contextuality for preparations, transformations, and unsharp measurements, Physical Review A, vol.71, issue.5, p.406166, 2004.
DOI : 10.1103/PhysRevA.71.052108

A. Steane, Quantum computing, Reports on Progress in Physics, vol.61, issue.2, pp.117-173, 1998.
DOI : 10.1088/0034-4885/61/2/002

S. J. Summers and R. Werner, Maximal violation of Bell's inequalities is generic in quantum field theory, Communications in Mathematical Physics, vol.86, issue.2, pp.247-259, 1987.
DOI : 10.1007/BF01207366

M. Takesaki, Tomita's theory of modular Hilbert space algebras and its applications, 1970.

M. Takesaki, Theory of Operator Algebras I, 1979.

A. Tarski, Logic, Semantics, Metamathematics, 1956.

C. G. Timpson, On a supposed conceptual inadequacy of the Shannon information in quantum mechanics, Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, vol.34, issue.3, pp.441-468, 2003.
DOI : 10.1016/S1355-2198(03)00037-6

J. Ullmo, La pensée scientifique moderne. Flammarion, 1958.

B. C. Van-fraassen, Quantum Mechanics: an Empiricist View, 1992.
DOI : 10.1093/0198239807.001.0001

V. S. Varadarajan, Probability in physics and a theorem on simultaneous observability, Communications on Pure and Applied Mathematics, vol.48, issue.2, pp.189-217, 1962.
DOI : 10.1002/cpa.3160150207

V. S. Varadarajan, Geometry of quantum theory, 1968.
DOI : 10.1007/978-0-387-49386-2

F. Varela, Neurophenomenology: A methodological remedy for the hard problem, Journal of Consciousness Studies, vol.3, issue.4, pp.330-349, 1996.

R. Von-mises, . Wahrscheinlichkeit, . Statistik, and . Wahrkeit, Second English edition: Probability, Statistics and Truth Dover Publications, 1928.

J. Neumann, Mathematische Gründlagen der Quantenmechanik, 1932.

J. Neumann, Collected Works Vol. III. Rings of Operators, 1961.

J. Neumann, Collected Works Vol. I. Logic, Theory of Sets and Quantum Mechanics, 1962.

D. Wallace, Everettian rationality: defending Deutsch's approach to probability in the Everett interpretation. Studies in the History and Philosophy of Modern Physics, pp.415-438, 2003.

J. A. Wheeler, The ???Past??? and the ???Delayed-Choice??? Double-Slit Experiment, Mathematical Foundations of Quantum Theory, pp.9-48, 1978.
DOI : 10.1016/B978-0-12-473250-6.50006-6

J. A. Wheeler, World as system self-synthesized by quantum networking, IBM Journal of Research and Development, vol.32, issue.1, pp.4-15, 1988.
DOI : 10.1147/rd.321.0004

J. A. Wheeler, Information, physics, quantum: The search for links, Feynman and Computation: Exploring the Limits of Computers, pp.309-336, 1998.

E. Wigner, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra, American Journal of Physics, vol.28, issue.4, p.1959, 1931.
DOI : 10.1119/1.1935822

E. Wigner, The Unreasonable Effectiveness of Mathematics in the Natural Sciences, Communications in Pure and Applied Mathematics, vol.13, 1960.
DOI : 10.1142/9789814503488_0018

A. Zeilinger, Foundational principle for quantum mechanics, Foundations of Physics, vol.29, issue.4, pp.631-643, 1999.
DOI : 10.1023/A:1018820410908

N. Zieler, Axioms for non-relativistic quantum mechanics, Pacific Journal of Mathematics, vol.11, issue.3, pp.1151-1169, 1961.
DOI : 10.2140/pjm.1961.11.1151