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  1. Frank Arntzenius (2014). Utilitarianism, Decision Theory and Eternity. Philosophical Perspectives 28 (1):31-58.
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  2. Frank Arntzenius (2012). Space, Time, & Stuff. Oxford Univ. Press.
    Frank Arntzenius presents a series of radical new ideas about the structure of space and time. Space, Time, and Stuff is an attempt to show that physics is geometry: that the fundamental structure of the physical world is purely geometrical structure. Along the way, he examines some non-standard views about the structure of spacetime and its inhabitants, including the idea that space and time are pointless, the idea that quantum mechanics is a completely local theory, the idea that antiparticles are (...)
     
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  3. Frank Arntzenius (ed.) (2012). Space, Time, and Stuff. OUP Oxford.
    Frank Arntzenius presents a series of radical new ideas about the structure of space and time. Space, Time, and Stuff is an attempt to show that physics is geometry: that the fundamental structure of the physical world is purely geometrical structure. Along the way, he examines some non-standard views about the structure of spacetime and its inhabitants, including the idea that space and time are pointless, the idea that quantum mechanics is a completely local theory, the idea that antiparticles are (...)
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  4. Juan José Acero, Tobies Grimaltos, David Pineda, Frank Arntzenius, Francesco Guala, Marek Polanski, Ana Barahona, Andrew Hamilton, Josep Lluis Prades & Josep Maria Bech (2011). Informantes de THEORIA (2009-2010) Referees for THEORIA (2009-2010). Theoria 70:119.
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  5. Frank Arntzenius (2011). The CPT Theorem. In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. Oup Oxford.
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  6. Frank Arntzenius & Hilary Greaves (2009). Time Reversal in Classical Electromagnetism. British Journal for the Philosophy of Science 60 (3):557-584.
    Richard Feynman has claimed that anti-particles are nothing but particles `propagating backwards in time'; that time reversing a particle state always turns it into the corresponding anti-particle state. According to standard quantum field theory textbooks this is not so: time reversal does not turn particles into anti-particles. Feynman's view is interesting because, in particular, it suggests a nonstandard, and possibly illuminating, interpretation of the CPT theorem. In this paper, we explore a classical analog of Feynman's view, in the context of (...)
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  7. Frank Arntzenius (2008). Gunk, Topology and Measure. In Dean Zimmerman (ed.), Oxford Studies in Metaphysics: Volume 4. Oup Oxford.
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  8. Frank Arntzenius (2008). No Regrets, Or: Edith Piaf Revamps Decision Theory. [REVIEW] Erkenntnis 68 (2):277-297.
    I argue that standard decision theories, namely causal decision theory and evidential decision theory, both are unsatisfactory. I devise a new decision theory, from which, under certain conditions, standard game theory can be derived.
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  9. Frank Arntzenius, Reichenbach's Common Cause Principle. Stanford Encyclopedia of Philosophy.
    Suppose that two geysers, about one mile apart, erupt at irregular intervals, but usually erupt almost exactly at the same time. One would suspect that they come from a common source, or at least that there is a common cause of their eruptions. And this common cause surely acts before both eruptions take place. This idea, that simultaneous correlated events must have prior common causes, was first made precise by Hans Reichenbach (Reichenbach 1956). It can be used to infer the (...)
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  10. Frank Arntzenius, Time Travel and Modern Physics. Stanford Encyclopedia of Philosophy.
    Time travel has been a staple of science fiction. With the advent of general relativity it has been entertained by serious physicists. But, especially in the philosophy literature, there have been arguments that time travel is inherently paradoxical. The most famous paradox is the grandfather paradox: you travel back in time and kill your grandfather, thereby preventing your own existence. To avoid inconsistency some circumstance will have to occur which makes you fail in this attempt to kill your grandfather. Doesn't (...)
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  11. Frank Arntzenius, No Regrets.
    I argue that standard decision theories, namely causal decision theory and evidential decision theory, are incoherent. I devise a new decision theory, from which standard game theory will follow as a corollary.
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  12. Frank Arntzenius (2007). 7. Rationality and Self-Confidence. Oxford Studies in Epistemology: Volume 2 2:165.
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  13. Frank Arntzenius (2007). Rationality and Self-Confidence. In Tamar Szabo Gendler & John Hawthorne (eds.), Oxford Studies in Epistemology: Volume 2. Oup Oxford.
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  14. Frank Arntzenius (2006). Infinity, Relativity and Smoothness. Philosophical Perspectives 20 (1):1–16.
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  15. Frank Arntzenius (2006). Time Travel: Double Your Fun. Philosophy Compass 1 (6):599–616.
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  16. Frank Arntzenius (2004). Time Reversal Operations, Representations of the Lorentz Group, and the Direction of Time. Studies in History and Philosophy of Science Part B 35 (1):31-43.
  17. Frank Arntzenius, Adam Elga & and John Hawthorne (2004). Bayesianism, Infinite Decisions, and Binding. Mind 113 (450):251-283.
    We pose and resolve several vexing decision theoretic puzzles. Some are variants of existing puzzles, such as ‘Trumped’ (Arntzenius and McCarthy 1997), ‘Rouble trouble’ (Arntzenius and Barrett 1999), ‘The airtight Dutch book’ (McGee 1999), and ‘The two envelopes puzzle’ (Broome 1999). Others are new. A unified resolution of the puzzles shows that Dutch book arguments have no force in infinite cases. It thereby provides evidence that reasonable utility functions may be unbounded and that reasonable credence functions need not be countably (...)
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  18. Frank Arntzenius, Adam Elga & John Hawthorne (2004). Bayesianism, Infinite Decisions, and Binding. Mind 113 (450):251 - 283.
    We pose and resolve several vexing decision theoretic puzzles. Some are variants of existing puzzles, such as 'Trumped' (Arntzenius and McCarthy 1997), 'Rouble trouble' (Arntzenius and Barrett 1999), 'The airtight Dutch book' (McGee 1999), and 'The two envelopes puzzle' (Broome 1995). Others are new. A unified resolution of the puzzles shows that Dutch book arguments have no force in infinite cases. It thereby provides evidence that reasonable utility functions may be unbounded and that reasonable credence functions need not be countably (...)
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  19. Frank Arntzenius, Adam Elga, John Hawthorne & Victor Caston (2004). Index of MIND Vol. 113 Nos 1–4, 2004. Mind 111:452.
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  20. Frank Arntzenius (2003). Is Quantum Mechanics Pointless? Philosophy of Science 70 (5):1447-1457.
    There exist well‐known conundrums, such as measure‐theoretic paradoxes and problems of contact, which, within the context of classical physics, can be used to argue against the existence of points in space and space‐time. I examine whether quantum mechanics provides additional reasons for supposing that there are no points in space and space‐time.
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  21. Frank Arntzenius (2003). Self-Locating Beliefs, Reflection, Conditionalization and Dutch Books. Journal of Philosophy 100:356-370.
  22. Frank Arntzenius (2003). Some Problems for Conditionalization and Reflection. Journal of Philosophy 100 (7):356-370.
  23. Frank Arntzenius & Ned Hall (2003). On What We Know About Chance. British Journal for the Philosophy of Science 54 (2):171-179.
    The ‘Principal Principle’ states, roughly, that one's subjective probability for a proposition should conform to one's beliefs about that proposition's objective chance of coming true. David Lewis has argued (i) that this principle provides the defining role for chance; (ii) that it conflicts with his reductionist thesis of Humean supervenience, and so must be replaced by an amended version that avoids the conflict; hence (iii) that nothing perfectly deserves the name ‘chance’, although something can come close enough by playing the (...)
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  24. Frank Arntzenius (2002). Reflections on Sleeping Beauty. Analysis 62 (1):53–62.
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  25. Jeffrey A. Barrett & Frank Arntzenius (2002). Why the Infinite Decision Puzzle is Puzzling. Theory and Decision 52 (2):139-147.
    Pulier (2000, Theory and Decision 49: 291) and Machina (2000, Theory and Decision 49: 293) seek to dissolve the Barrett–Arntzenius infinite decision puzzle (1999, Theory and Decision 46: 101). The proposed dissolutions, however, are based on misunderstandings concerning how the puzzle works and the nature of supertasks more generally. We will describe the puzzle in a simplified form, address the recent misunderstandings, and describe possible morals for decision theory.
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  26. Frank Arntzenius (2000). Are There Really Instantaneous Velocities? The Monist 83 (2):187-208.
    Zeno argued that since at any instant an arrow does not change its location, the arrow does not move at any time, and hence motion is impossible. I discuss the following three views that one could take in view of Zeno's argument:(i) the "at-at" theory, according to which there is no such thing as instantaneous velocity, while motion in the sense of the occupation of different locations at different times is possible,(ii) the "impetus" theory, according to which instantaneous velocities do (...)
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  27. Jeffrey Barrett & Frank Arntzenius (1999). An Infinite Decision Puzzle. Theory and Decision 46 (1):101-103.
    We tell a story where an agent who chooses in such a way as to make the greatest possible profit on each of an infinite series of transactions ends up worse off than an agent who chooses in such a way as to make the least possible profit on each transaction. That is, contrary to what one might suppose, it is not necessarily rational always to choose the option that yields the greatest possible profit on each transaction.
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  28. Frank Arntzenius (1997). Mirrors and the Direction of Time. Philosophy of Science 64 (4):222.
    The frequencies with which photons pass through half-silvered mirrors in the forward direction of time is always approximately 1/2, whereas the frequencies with which photons pass through mirrors in the backward direction in time can be highly time-dependent. I argue that whether one should infer from this time-asymmetric phenomenon that time has an objective direction will depend on one's interpretation of quantum mechanics.
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  29. Frank Arntzenius (1997). Transition Chances and Causation. Pacific Philosophical Quarterly 78 (2):149–168.
    The general claims of this paper are as follows. As a result of chaotic dynamics we can usually not know what the deterministic causes of events are. There will, however, be invariant forwards transition chances from earlier types of events, which we typically call the causes, to later types of events, which we typically call the effects. There will be no invariant backwards transition chances between these types of events. This asymmetry has the same origin and explanation as the arrow (...)
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  30. Frank Arntzenius & David McCarthy (1997). Self Torture and Group Beneficence. Erkenntnis 47 (1):129-144.
    Moral puzzles about actions which bring about very small or what are said to be imperceptible harms or benefits for each of a large number of people are well known. Less well known is an argument by Warren Quinn that standard theories of rationality can lead an agent to end up torturing himself or herself in a completely foreseeable way, and that this shows that standard theories of rationality need to be revised. We show where Quinn's argument goes wrong, and (...)
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  31. Frank Arntzenius & David McCarthy (1997). The Two Envelope Paradox and Infinite Expectations. Analysis 57 (1):42–50.
    The two envelope paradox can be dissolved by looking closely at the connection between conditional and unconditional expectation and by being careful when summing an infinite series of positive and negative terms. The two envelope paradox is not another St. Petersburg paradox and that one does not need to ban talk of infinite expectation values in order to dissolve it. The article ends by posing a new puzzle to do with infinite expectations.
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  32. Frank Arntzenius (1995). A Heuristic for Conceptual Change. Philosophy of Science 62 (3):357-369.
    One of our more fundamental beliefs is that causal chains are continuous in time: we believe that every influence from the past upon the future runs through the present. I argue that this tenet, given certain data, can force conceptual changes upon us. I attempt to formulate a heuristic for discovery, based as explicitly as possible upon this tenet, and illustrate it by means of several examples, one of which is Mendel's discovery of genes.
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  33. Frank Arntzenius (1995). Indeterminism and the Direction of Time. Topoi 14 (1):67-81.
    Many phenomena in the world display a striking time-asymmetry: the forwards transition frequencies are approximately invariant while the backwards ones are not. I argue in this paper that theories of such phenomena will entail that time has a direction, and that quantum mechanics in particular entails that the future is objectively different from the past.
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  34. Frank Arntzenius (1994). Relativistic Hidden Variable Theories? Erkenntnis 41 (2):207 - 231.
    I show that for any quantum dynamics and any choice of observables as hidden variables an adequate hidden variable theory always exists. I argue that hidden variable theories have no more problems in reconciling non-locality with relativity than no-hidden-variable theories.
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  35. Frank Arntzenius (1994). Spacelike Connections. British Journal for the Philosophy of Science 45 (1):201-217.
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  36. Frank Arntzenius (1993). How to Discover That the Real is Unreal. Erkenntnis 38 (2):191 - 202.
    The measurement problem in quantum mechanics is presented in a completely non-technical way by means of the results of some very simple experiments. These experimental results themselves, rather than the formalism of quantum theory, are shown to be extremely hard to incorporate in a sensible state-space picture of the world. A novel twist is then added which makes the problem even harder than it appears to be in other presentations of the measurement problem.
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  37. Frank Arntzenius (1992). The Common Cause Principle. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:227 - 237.
    The common cause principle states that correlations have prior common causes which screen off those correlations. I argue that the common cause principle is false in many circumstances, some of which are very general. I then suggest that more restricted versions of the common cause principle might hold, and I prove such a restricted version.
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  38. Frank Arntzenius (1991). State-Spaces and Meaning Relations Among Predicates. Topoi 10 (1):35-42.
    It has often been suggested that the meaning of terms is theory dependent. Bas van Fraassen has proposed a particular way of inferring which sentences are true in virtue of meaning, given a theory in so-called state-space format. I examine his claims by means of simple examples.
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  39. Frank Arntzenius (1990). Causal Paradoxes in Special Relativity. British Journal for the Philosophy of Science 41 (2):223-243.
    It has been argued that the existence of faster than light particles in the context of special relativity would imply the possibility to influence the past, and that this would lead to paradox. In this paper I argue that such conclusions cannot safely be drawn without consideration of the equations of motion of such particles. I show that such equations must be non-local, that they can be deterministic, and that they can avoid the suggested paradoxes. I also discuss conservation of (...)
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  40. Frank Arntzenius (1990). Kochen's Interpretation of Quantum Mechanics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:241 - 249.
    Kochen has suggested an interpretation of quantum mechanics in which he denies that wavepackets ever collapse, while affirming that measurements have definite results. In this paper I attempt to show that his interpretation is untenable. I then suggest ways in which to construct similar, but more satisfactory, hidden variable interpretations.
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  41. Frank Arntzenius (1990). Physics and Common Causes. Synthese 82 (1):77 - 96.
    The common cause principle states that common causes produce correlations amongst their effects, but that common effects do not produce correlations amongst their causes. I claim that this principle, as explicated in terms of probabilistic relations, is false in classical statistical mechanics. Indeterminism in the form of stationary Markov processes rather than quantum mechanics is found to be a possible saviour of the principle. In addition I argue that if causation is to be explicated in terms of probabilities, then it (...)
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  42. Frank Arntzenius (1990). Book Review:Probability and Causality J. H. Fetzer. [REVIEW] Philosophy of Science 57 (2):338-.
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