13 found
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  1.  32
    On Fair Countable Lotteries.Casper Storm Hansen - 2017 - Philosophical Studies 174 (11):2787-2794.
    Two reverse supertasks—one new and one invented by Pérez Laraudogoitia —are discussed. Contra Kerkvliet and Pérez Laraudogoitia, it is argued that these supertasks cannot be used to conduct fair infinite lotteries, i.e., lotteries on the set of natural numbers with a uniform probability distribution. The new supertask involves an infinity of gods who collectively select a natural number by each removing one ball from a collection of initially infinitely many balls in a reverse omega-sequence of actions.
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  2.  20
    Supervaluation on Trees for Kripke’s Theory of Truth.Casper Storm Hansen - 2015 - Review of Symbolic Logic 8 (1):46-74.
    A method of supervaluation for Kripke’s theory of truth is presented. It differs from Kripke’s own method in that it employs trees; results in a compositional semantics; assigns the intuitively correct truth values to the sentences of a particularly tricky example of Gupta’s; and – it is argued – is acceptable as an explication of the correspondence theory of truth.
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  3.  20
    Grounded Ungroundedness.Casper Storm Hansen - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (2):216-243.
    A modification of Kripke’s theory of truth is proposed and it is shown how this modification solves some of the problems of expressive weakness in Kripke’s theory. This is accomplished by letting truth values be grounded in facts about other sentences’ ungroundedness.
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  4.  83
    New Zeno and Actual Infinity.Casper Storm Hansen - 2011 - Open Journal of Philosophy 1 (2):57.
    In 1964 José Benardete invented the “New Zeno Paradox” about an infinity of gods trying to prevent a traveller from reaching his destination. In this paper it is argued, contra Priest and Yablo, that the paradox must be resolved by rejecting the possibility of actual infinity. Further, it is shown that this paradox has the same logical form as Yablo’s Paradox. It is suggested that constructivism can serve as the basis of a common solution to New Zeno and the paradoxes (...)
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  5.  17
    Choice Sequences and the Continuum.Casper Storm Hansen - forthcoming - Erkenntnis:1-18.
    According to L.E.J. Brouwer, there is room for non-definable real numbers within the intuitionistic ontology of mental constructions. That room is allegedly provided by freely proceeding choice sequences, i.e., sequences created by repeated free choices of elements by a creating subject in a potentially infinite process. Through an analysis of the constitution of choice sequences, this paper argues against Brouwer’s claim.
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  6.  52
    Double Up on Heaven.Casper Storm Hansen - 2015 - Thought: A Journal of Philosophy 4 (4):213-214.
    This paper describes a scenario in which a person in his afterlife will with probability 1 spend twice as many days in Heaven as in Hell, but, even though Heaven is as good as Hell is bad, his expected utility for any given day in that afterlife is negative.
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  7.  50
    Book Review: Alex Oliver and Timothy Smiley, Plural Logic. [REVIEW]Thomas Brouwer & Casper Storm Hansen - 2015 - Studia Logica 103 (5):1095-1100.
  8.  37
    Brouwer's Conception of Truth.Casper Storm Hansen - 2016 - Philosophia Mathematica 24 (3):379-400.
    In this paper it is argued that the understanding of Brouwer as replacing truth conditions with assertability or proof conditions, in particular as codified in the so-called Brouwer-Heyting-Kolmogorov Interpretation, is misleading and conflates a weak and a strong notion of truth that have to be kept apart to understand Brouwer properly: truth-as-anticipation and truth- in-content. These notions are explained, exegetical documentation provided, and semi-formal recursive definitions are given.
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  9.  9
    The Signalman Against the Glut and Gap Theorists.Casper Storm Hansen - 2020 - Synthese 198 (11):10923-10937.
    Radical glut and gap theorists deny—in opposite ways—that the liar sentence has exactly one of the two values true and not true. I describe a scenario where a signalman finds himself in a situation analogous to the liar paradox: if he lights a fire at a certain time, that is analogous to the liar being true, and if he does not, that is analogous to the liar not being true. It is obvious that he must make exactly one of those (...)
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  10.  21
    Two Envelopes and Binding.Casper Storm Hansen - 2018 - Australasian Journal of Philosophy 96 (3):508-518.
    This paper describes a way of defending a modification of Eckhardt's [2013] solution to the Two Envelopes Paradox. The defence is based on ideas from Arntzenius, Elga, and Hawthorne [2004].
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  11.  4
    The Temperature Paradox and Meaning Postulates.Casper Storm Hansen - 2016 - Linguistic Inquiry 47:695-705.
    Lasersohn has argued that the use of Russell's analysis of the definite determiner in Montague Grammar, which is responsible for giving the correct prediction in the case of the Temperature Paradox, is also responsible for giving the wrong prediction in the case of the Gupta Syllogism. In this paper I argue against Lasersohn, and show that the problem of the Gupta Syllogism can be solved by making a minor addition to Intensional Montague Grammar. This solution is one that Lasersohn discusses (...)
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  12.  27
    Unified Grounding.Casper Storm Hansen - 2016 - Erkenntnis 81 (5):993-1010.
    This paper offers a unification and systematization of the grounding approaches to truth, denotation, classes and abstraction. Its main innovation is a method for “kleenifying” bivalent semantics so as to ensure that the trivalent semantics used for various linguistic elements are perfectly analogous to the semantics used by Kripke, rather than relying on intuition to achieve similarity. The focus is on generalizing strong Kleene semantics, but one section is devoted to supervaluation, and the unification method also extends to weak Kleene (...)
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  13.  1
    Fair Countable Lotteries and Reflection.Casper Storm Hansen - forthcoming - Acta Analytica:1-16.
    The main conclusion is this conditional: If the principle of reflection is a valid constraint on rational credences, then it is not rational to have a uniform credence distribution on a countable outcome space. The argument is a variation on some arguments that are already in the literature, but with crucial differences. The conditional can be used for either a modus ponens or a modus tollens; some reasons for thinking that the former is most reasonable are given.
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