Hans Halvorson Princeton University
blank
About me
Not much to say..
My works
48 items found.
Order:
  1. David John Baker & Hans Halvorson (2013). How is Spontaneous Symmetry Breaking Possible? Understanding Wigner's Theorem in Light of Unitary Inequivalence. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):464-469.
    We pose and resolve a puzzle about spontaneous symmetry breaking in the quantum theory of infinite systems. For a symmetry to be spontaneously broken, it must not be implementable by a unitary operator in a ground state's GNS representation. But Wigner's theorem guarantees that any symmetry's action on states is given by a unitary operator. How can this unitary operator fail to implement the symmetry in the GNS representation? We show how it is possible for a unitary operator of this (...)
    Direct download (6 more)  
     
    Export citation  
     
    My bibliography  
  2. Hans Halvorson (2013). The Semantic View, If Plausible, Is Syntactic. Philosophy of Science 80 (3):475-478.
    Halvorson argues that the semantic view of theories leads to absurdities. Glymour shows how to inoculate the semantic view against Halvorson's criticisms, namely by making it into a syntactic view of theories. I argue that this modified semantic-syntactic view cannot do the philosophical work that the original "language-free" semantic view was supposed to do.
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography   6 citations  
  3. Hans Halvorson (2012). What Scientific Theories Could Not Be. Philosophy of Science 79 (2):183-206.
    According to the semantic view of scientific theories, theories are classes of models. I show that this view -- if taken seriously as a formal explication -- leads to absurdities. In particular, this view equates theories that are truly distinct, and it distinguishes theories that are truly equivalent. Furthermore, the semantic view lacks the resources to explicate interesting theoretical relations, such as embeddability of one theory into another. The untenability of the semantic view -- as currently formulated -- threatens to (...)
    Direct download (9 more)  
     
    Export citation  
     
    My bibliography   20 citations  
  4.  77
    Thomas William Barrett & Hans Halvorson (forthcoming). Glymour and Quine on Theoretical Equivalence. Journal of Philosophical Logic:1-17.
    Glymour and Quine propose two different formal criteria for theoretical equivalence. In this paper we examine the relationships between these criteria.
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  5.  20
    Thomas William Barrett & Hans Halvorson (forthcoming). Quine’s Conjecture on Many-Sorted Logic. Synthese:1-20.
    Quine often argued for a simple, untyped system of logic rather than the typed systems that were championed by Russell and Carnap, among others. He claimed that nothing important would be lost by eliminating sorts, and the result would be additional simplicity and elegance. In support of this claim, Quine conjectured that every many-sorted theory is equivalent to a single-sorted theory. We make this conjecture precise, and prove that it is true, at least according to one reasonable notion of theoretical (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  6. Hans Halvorson (forthcoming). Theism and Physical Cosmology. In Charles Taliaferro, Victoria Harrison & Stewart Goetz (eds.), Routledge Companion to Theism.
    Physical cosmology purports to establish precise and testable claims about the origin of the universe. Thus, cosmology bears directly on traditional metaphysical claims -- in particular, claims about whether the universe has a creator (i.e. God). What is the upshot of cosmology for the claims of theism? Does big-bang cosmology support theism? Do recent developments in quantum and string cosmology undermine theism? We discuss the relations between physical cosmology to theism from both historical and systematic points of view.
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  7.  24
    David John Baker, Hans Halvorson & Noel Swanson (2015). The Conventionality of Parastatistics. British Journal for the Philosophy of Science 66 (4):929-976.
    Nature seems to be such that we can describe it accurately with quantum theories of bosons and fermions alone, without resort to parastatistics. This has been seen as a deep mystery: paraparticles make perfect physical sense, so why don’t we see them in nature? We consider one potential answer: every paraparticle theory is physically equivalent to some theory of bosons or fermions, making the absence of paraparticles in our theories a matter of convention rather than a mysterious empirical discovery. We (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  8. David John Baker, Hans Halvorson & Noel Swanson (2014). The Conventionality of Parastatistics. British Journal for the Philosophy of Science (4):axu018.
    Nature seems to be such that we can describe it accurately with quantum theories of bosons and fermions alone, without resort to parastatistics. This has been seen as a deep mystery: paraparticles make perfect physical sense, so why don’t we see them in nature? We consider one potential answer: every paraparticle theory is physically equivalent to some theory of bosons or fermions, making the absence of paraparticles in our theories a matter of convention rather than a mysterious empirical discovery. We (...)
    Direct download (9 more)  
     
    Export citation  
     
    My bibliography  
  9. Hans Halvorson (2013). Ruetsche on the Pristine and Adulterated in Quantum Field Theory. Metascience 22 (1):69-75.
    Review of Laura Ruetsche's "Interpreting Quantum Theories".
    No categories
    Direct download (8 more)  
     
    Export citation  
     
    My bibliography  
  10. Hans Halvorson, Cosmology and Theology. Stanford Encyclopedia of Philosophy.
  11.  75
    Hans Halvorson (2011). The Measure of All Things: Quantum Mechanics and the Soul. In Mark C. Baker & Stewart Goetz (eds.), The Soul Hypothesis: Investigations Into the Existence of the Soul. Continuum Press 138.
  12. David Baker & Hans Halvorson (2010). Antimatter. British Journal for the Philosophy of Science 61 (1):93-121.
    Next SectionThe nature of antimatter is examined in the context of algebraic quantum field theory. It is shown that the notion of antimatter is more general than that of antiparticles. Properly speaking, then, antimatter is not matter made up of antiparticles—rather, antiparticles are particles made up of antimatter. We go on to discuss whether the notion of antimatter is itself completely general in quantum field theory. Does the matter–antimatter distinction apply to all field theoretic systems? The answer depends on which (...)
    Direct download (13 more)  
     
    Export citation  
     
    My bibliography   8 citations  
  13. Hans Halvorson & Michael Mueger (2006). Algebraic Quantum Field Theory. In J. Butterfield & J. Earman (eds.), Handbook of the philosophy of physics. Kluwer
    Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of operator algebras, category theory, etc.. Given the rigor and generality of AQFT, it is a particularly apt tool for studying the foundations of QFT. This paper is a survey of AQFT, with an orientation towards foundational topics. In addition to covering the basics of the theory, (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   13 citations  
  14. Mark Sainsbury, Cory Juhl, Nicholas Asher, Hans Halvorson, Lawrence Sklar & Jim Hankinson (2006). Tracy Lupher. In Borchert (ed.), Philosophy of Science. Macmillan 164-202.
     
    Export citation  
     
    My bibliography  
  15. Jeremy Butterfield & Hans Halvorson (eds.) (2004). Quantum Entanglements: Selected Papers. Clarendon Press.
    This volume gathers together ground-breaking work on the foundations and philosophy of quantum physics, by one of the most brilliant and productive researchers in the field. Rob Clifton died tragically in 2002 at the age of 38; two of his colleagues, themselves leading philosophers of physics, present fourteen of his finest papers here, all of which combine exciting philosophical discussion with rigorous mathematical results. Quantum Entanglements offers inspiration and substantial reward to anyone working on the foundations of quantum theory, with (...)
    No categories
     
    Export citation  
     
    My bibliography  
  16. Hans Halvorson (2004). A Note on Information Theoretic Characterizations of Physical Theories. Studies in History and Philosophy of Modern Physics 35 (2):277-293.
    Clifton, Bub, and Halvorson (CBH) have recently argued that quantum theory is characterized by its satisfaction of three fundamental information-theoretic constraints. However, it is not difficult to construct apparent counterexamples to the CBH characterization theorem. In this paper, we discuss the limits of the characterization theorem, and we provide some technical tools for checking whether a theory (specified in terms of the convex structure of its state space) falls within these limits.
    Direct download (9 more)  
     
    Export citation  
     
    My bibliography   5 citations  
  17.  92
    Hans Halvorson (2004). Complementarity of Representations in Quantum Mechanics. Studies in History and Philosophy of Science Part B 35 (1):45-56.
    We show that Bohr's principle of complementarity between position and momentum descriptions can be formulated rigorously as a claim about the existence of representations of the CCRs. In particular, in any representation where the position operator has eigenstates, there is no momentum operator, and vice versa. Equivalently, if there are nonzero projections corresponding to sharp position values, all spectral projections of the momentum operator map onto the zero element.
    Direct download (7 more)  
     
    Export citation  
     
    My bibliography   3 citations  
  18.  26
    Hans Halvorson (2004). Complementarity of Representations in Quantum Mechanics. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (1):45-56.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  19.  74
    Hans Halvorson (2004). On Information-Theoretic Characterizations of Physical Theories. Studies in History and Philosophy of Science Part B 35 (2):277-293.
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  20.  25
    Hans Halvorson (2004). On Information-Theoretic Characterizations of Physical Theories. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (2):277-293.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  21.  57
    J. Butterfield & H. Halvorson (2003). Robert K. Clifton 1964–2002. Studies in History and Philosophy of Science Part B 34 (1):1-3.
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  22.  22
    J. Butterfield & H. Halvorson (2003). Robert K. Clifton 1964–2002. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (1):1-3.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  23. Rob Clifton, Jeffrey Bub & Hans Halvorson (2003). Characterizing Quantum Theory in Terms of Information-Theoretic Constraints. Foundations of Physics 33 (11):1561-1591.
    We show that three fundamental information-theoretic constraints -- the impossibility of superluminal information transfer between two physical systems by performing measurements on one of them, the impossibility of broadcasting the information contained in an unknown physical state, and the impossibility of unconditionally secure bit commitment -- suffice to entail that the observables and state space of a physical theory are quantum-mechanical. We demonstrate the converse derivation in part, and consider the implications of alternative answers to a remaining open question about (...)
    Direct download (8 more)  
     
    Export citation  
     
    My bibliography   37 citations  
  24.  77
    Hans Halvorson (2002). On Quanta, Mind, and Matter: Hans Primas in Context - H. Atmanspacher, A. Amann, U. Muller-Herold (Eds), Kluwer, Boston, 1999, Pp. 398 + VIII, US$192.00£133.56 (Hardback), ISBN 0-7923-5696-. [REVIEW] Studies in History and Philosophy of Science Part B 33 (4):744-747.
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  25.  21
    Hans Halvorson (2002). On Quanta, Mind, and Matter: Hans Primas in Context. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (4):744-747.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  26. Hans Halvorson & Rob Clifton (2002). No Place for Particles in Relativistic Quantum Theories? Philosophy of Science 69 (1):1-28.
    David Malament (1996) has recently argued that there can be no relativistic quantum theory of (localizable) particles. We consider and rebut several objections that have been made against the soundness of Malament’s argument. We then consider some further objections that might be made against the generality of Malament’s conclusion, and we supply three no‐go theorems to counter these objections. Finally, we dispel potential worries about the counterintuitive nature of these results by showing that relativistic quantum field theory itself explains the (...)
    Direct download (9 more)  
     
    Export citation  
     
    My bibliography   23 citations  
  27. Hans Halvorson & Rob Clifton (2002). Reconsidering Bohr's Reply to EPR. In T. Placek & J. Butterfield (eds.), Non-locality and Modality. Kluwer 3--18.
    Although Bohr's reply to the EPR argument is supposed to be a watershed moment in the development of his philosophy of quantum theory, it is difficult to find a clear statement of the reply's philosophical point. Moreover, some have claimed that the point is simply that Bohr is a radical positivist. In this paper, we show that such claims are unfounded. In particular, we give a mathematically rigorous reconstruction of Bohr's reply to the _original_ EPR argument that clarifies its logical (...)
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography   9 citations  
  28.  49
    J. C. Beall, T. Bigaj, T. Fernando, B. Fitelson, N. Foo, W. Goldfarb, D. Gregory, T. Hailperin, H. Halvorson & K. Harris (2001). Arló-Costa, H., 479 Armour-Garb, B., 593 Azzouni, J., 329 Batens, D., 267. Journal of Philosophical Logic 30 (619).
    Direct download  
     
    Export citation  
     
    My bibliography   1 citation  
  29. Rob Clifton & Hans Halvorson (2001). Are Rindler Quanta Real? Inequivalent Particle Concepts in Quantum Field Theory. British Journal for the Philosophy of Science 52 (3):417-470.
    Philosophical reflection on quantum field theory has tended to focus on how it revises our conception of what a particle is. However, there has been relatively little discussion of the threat to the "reality" of particles posed by the possibility of inequivalent quantizations of a classical field theory, i.e., inequivalent representations of the algebra of observables of the field in terms of operators on a Hilbert space. The threat is that each representation embodies its own distinctive conception of what a (...)
    Direct download (9 more)  
     
    Export citation  
     
    My bibliography   25 citations  
  30. Rob Clifton & Hans Halvorson (2001). Entanglement and Open Systems in Algebraic Quantum Field Theory. Studies in History and Philosophy of Science Part B 32 (1):1-31.
    Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their development of quantum information theory. In this paper we show how the formalism of algebraic quantum field theory (AQFT) provides a rigorous framework within which to analyse entanglement in the context of a fully relativistic formulation of quantum theory. What emerges from the analysis are new practical and theoretical limitations on an experimenter's ability to (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography   15 citations  
  31.  24
    Rob Clifton & Hans Halvorson (2001). Entanglement and Open Systems in Algebraic Quantum Field Theory. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (1):1-31.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  32. Hans Halvorson (2001). A Philosopher's Understanding of Quantum Mechanics: Possibilities and Impossibilities of a Modal Interpretation Pieter Vermaas. British Journal for the Philosophy of Science 52 (2):387-391.
    Direct download (5 more)  
     
    Export citation  
     
    My bibliography  
  33.  96
    Hans Halvorson (2001). Locality, Localization, and the Particle Concept: Topics in the Foundations of Quantum Field Theory. Dissertation, University of Pittsburgh
    This dissertation reconsiders some traditional issues in the foundations of quantum mechanics in the context of relativistic quantum field theory (RQFT); and it considers some novel foundational issues that arise first in the context of RQFT. The first part of the dissertation considers quantum nonlocality in RQFT. Here I show that the generic state of RQFT displays Bell correlations relative to measurements performed in any pair of spacelike separated regions, no matter how distant. I also show that local systems in (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  34. Hans Halvorson (2001). On the Nature of Continuous Physical Quantities in Classical and Quantum Mechanics. Journal of Philosophical Logic 30 (1):27-50.
    Within the traditional Hilbert space formalism of quantum mechanics, it is not possible to describe a particle as possessing, simultaneously, a sharp position value and a sharp momentum value. Is it possible, though, to describe a particle as possessing just a sharp position value (or just a sharp momentum value)? Some, such as Teller, have thought that the answer to this question is No - that the status of individual continuous quantities is very different in quantum mechanics than in classical (...)
    Direct download (11 more)  
     
    Export citation  
     
    My bibliography   4 citations  
  35. Hans Halvorson (2001). On the Nature of Continuous Physical Quantities in Classical and Quantum Mechanics. Journal of Philosophical Logic 30 (1):27-50.
    Within the traditional Hilbert space formalism of quantum mechanics, it is not possible to describe a particle as possessing, simultaneously, a sharp position value and a sharp momentum value. Is it possible, though, to describe a particle as possessing just a sharp position value (or just a sharp momentum value)? Some, such as Teller, have thought that the answer to this question is No - that the status of individual continuous quantities is very different in quantum mechanics than in classical (...)
    Direct download (10 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  36.  95
    Hans Halvorson (2001). Reeh-Schlieder Defeats Newton-Wigner: On Alternative Localization Schemes in Relativistic Quantum Field Theory. Philosophy of Science 68 (1):111-133.
    Many of the "counterintuitive" features of relativistic quantum field theory have their formal root in the Reeh-Schlieder theorem, which in particular entails that local operations applied to the vacuum state can produce any state of the entire field. It is of great interest then that I.E. Segal and, more recently, G. Fleming (in a paper entitled "Reeh-Schlieder meets Newton-Wigner") have proposed an alternative "Newton-Wigner" localization scheme that avoids the Reeh-Schlieder theorem. In this paper, I reconstruct the Newton-Wigner localization scheme and (...)
    Direct download (9 more)  
     
    Export citation  
     
    My bibliography   9 citations  
  37. Pieter Vermaas & Hans Halvorson (2001). Reviews-A Philosopher's Understanding of Quantum Mechanics: Possibilities and Impossibilities of a Modal Interpretation. British Journal for the Philosophy of Science 52 (2):387-392.
     
    Export citation  
     
    My bibliography  
  38.  57
    Hans Halvorson & Rob Clifton (1999). Maximal Beable Subalgebras of Quantum-Mechanical Observables. International Journal of Theoretical Physics 38:2441-2484.
    The centerpiece of Jeffrey Bub's book Interpreting the Quantum World is a theorem (Bub and Clifton 1996) which correlates each member of a large class of no-collapse interpretations with some 'privileged observable'. In particular, the Bub-Clifton theorem determines the unique maximal sublattice L(R,e) of propositions such that (a) elements of L(R,e) can be simultaneously determinate in state e, (b) L(R,e) contains the spectral projections of the privileged observable R, and (c) L(R,e) is picked out by R and e alone. In (...)
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography   5 citations  
  39. Hans Halvorson, No Time for Quantum Mechanics.
    I prove that -- given certain physically realistic assumptions -- a quantum-mechanical system cannot have a time observable.
    Direct download  
     
    Export citation  
     
    My bibliography  
  40. Noel Swanson & Hans Halvorson, On North's "The Structure of Physics".
    Jill North argues that Hamiltonian mechanics provides the most spare -- and hence most accurate -- account of the structure of a classical world. We point out some difficulties for her argument, and raise some general points about attempts to minimize structural commitments.
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography   4 citations  
  41.  64
    Thomas William Barrett & Hans Halvorson, Morita Equivalence.
    Logicians and philosophers of science have proposed various formal criteria for theoretical equivalence. In this paper, we examine two such proposals: definitional equivalence and categorical equivalence. In order to show precisely how these two well-known criteria are related to one another, we investigate an intermediate criterion called Morita equivalence.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  42.  65
    Thomas William Barrett & Hans Halvorson, Quine's Conjecture on Many-Sorted Logic.
    In this paper we settle a conjecture suggested by Quine. Our theorem makes precise the relationship between many-sorted logic and single-sorted logic and yields a remark about a criterion for theoretical equivalence proposed by Glymour.
    No categories
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  43.  52
    Hans Halvorson, Scientific Theories.
    Since the beginning of the 20th century, philosophers of science have asked, "what kind of thing is a scientific theory?" The logical positivists answered: a scientific theory is a mathematical theory, plus an empirical interpretation of that theory. Moreover, they assumed that a mathematical theory is specified by a set of axioms in a formal language. Later 20th century philosophers questioned this account, arguing instead that a scientific theory need not include a mathematical component; or that the mathematical component need (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography   3 citations  
  44.  53
    Hans Halvorson & Dimitris Tsementzis, Categories of Scientific Theories.
    We discuss ways in which category theory might be useful in philosophy of science, in particular for articulating the structure of scientific theories. We argue, moreover, that a categorical approach transcends the syntax-semantics dichotomy in 20th century analytic philosophy of science.
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  45.  39
    Hans Halvorson, A Probability Problem in the Fine-Tuning Argument.
    According to the fine-tuning argument: the probability of a life-permitting universe, conditional on the non-existence of God, is low; and the probability of a life-permitting universe, conditional on the existence of God, is high. I demonstrate that these two claims cannot be simultaneously justified. In particular, if there are good reasons for a non-theist to think that the probability of a life-permitting universe is low, then these are also good reasons for a theist.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  46.  54
    Hans Halvorson, God Doesn't Need Fine Tuning.
    According to the fine tuning argument, if God doesn't exist then it's a miracle that our universe is suitable for life. I point out a problem with this claim: if conditionalizing on God's existence changes the probability of an event, then the objective chance of that event wasn't ordained by God.
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  47.  49
    Hans Halvorson, Why Methodological Naturalism?
    I discuss motivations for methodological naturalism in science. I argue that methodological naturalism neither needs nor supports metaphysical naturalism.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  48. Hans Halvorson, Plantinga on Providence and Physics.
    Discussion of Alvin Plantinga's book, "Where the Conflict Really Lies".
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
Is this list right?