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Profile: Marcus Rossberg (University of Connecticut)
  1. Marcus Rossberg, On the Logic of Quantifier Variance.
    Eli Hirsch recently suggested the metaontological doctrine of so-called "quantifier variance", according to which ontological disputes—e.g. concerning the question whether arbitrary, possibly scattered, mereological fusions exist, in the sense that these are recognised as objects proper in our ontology—can be defused as insubstantial. His proposal is that the meaning of the quanti er `there exists' varies in such debates: according to one opponent in this dispute, some existential statement claiming the existence of, e.g., a scattered object is true, according to (...)
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  2. Philip A. Ebert & Marcus Rossberg (eds.) (forthcoming). Abstractionism. Oxford University Press.
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  3. Marcus Rossberg (forthcoming). Somehow Things Do Not Relate: On the Interpretation of Polyadic Second-Order Logic. Journal of Philosophical Logic:1-10.
    Boolos has suggested a plural interpretation of second-order logic for two purposes: (i) to escape Quine’s allegation that second-order logic is set theory in disguise, and (ii) to avoid the paradoxes arising if the second-order variables are given a set-theoretic interpretation in second-order set theory. Since the plural interpretation accounts only for monadic second-order logic, Rayo and Yablo suggest an new interpretation for polyadic second-order logic in a Boolosian spirit. The present paper argues that Rayo and Yablo’s interpretation does not (...)
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  4. Daniel Cohnitz, Peter Pagin & Marcus Rossberg (2014). Monism, Pluralism and Relativism: New Essays on the Status of Logic. Erkenntnis 79 (2):201-210.
  5. Philip A. Ebert & Marcus Rossberg (eds.) (2013). Gottlob Frege: Basic Laws of Arithmetic. Oup Oxford.
    This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles.
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  6. Philip A. Ebert & Marcus Rossberg (2013). Translator's Introduction. In Gottlob Frege (ed.), Basic Laws of Arithmetic, Derived Using Concept-Script: Volumes I & Ii. Oxford University Press.
  7. Gottlob Frege, Philip A. Ebert & Marcus Rossberg (eds.) (2013). Basic Laws of Arithmetic. Oxford University Press.
  8. Marcus Rossberg (2013). Destroying Artworks. In Christy Mag Uidhir (ed.), Art & Abstract Objects. Oxford University Press.
    This paper investigates feasible ways of destroying artworks, assuming they are abstract objects, or works of a particular art-form, where the works of at least this art-form are assumed to be abstracta. If artworks are eternal, mind-independent abstracta, and hence discovered, rather than created, then they cannot be destroyed, but merely forgotten. For more moderate conceptions of artworks as abstract objects, however, there might be logical space for artwork destruction. Artworks as abstracta have been likened to impure sets (i.e., sets (...)
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  9. Marcus Rossberg (2013). Too Good to Be “Just True”. Thought: A Journal of Philosophy 2 (1):1-8.
    Paraconsistent and dialetheist approaches to a theory of truth are faced with a problem: the expressive resources of the logic do not suffice to express that a sentence is just true—i.e., true and not also false—or to express that a sentence is consistent. In his recent book, Spandrels of Truth, Jc Beall proposes a ‘just true’-operator to identify sentences that are true and not also false. Beall suggests seven principles that a ‘just true’-operator must fulfill, and proves that his operator (...)
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  10. Nikolaj Jang Lee Linding Pedersen & Marcus Rossberg (2010). Open-Endedness, Schemas and Ontological Commitment. Noûs 44 (2):329-339.
    Second-order axiomatizations of certain important mathematical theories—such as arithmetic and real analysis—can be shown to be categorical. Categoricity implies semantic completeness, and semantic completeness in turn implies determinacy of truth-value. Second-order axiomatizations are thus appealing to realists as they sometimes seem to offer support for the realist thesis that mathematical statements have determinate truth-values. The status of second-order logic is a controversial issue, however. Worries about ontological commitment have been influential in the debate. Recently, Vann McGee has argued that one (...)
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  11. Marcus Rossberg & Philip A. Ebert (2010). Cantor on Frege's Foundations of Arithmetic : Cantor's 1885 Review of Frege's Die Grundlagen der Arithmetik. History and Philosophy of Logic 30 (4):341-348.
    In 1885, Georg Cantor published his review of Gottlob Frege's Grundlagen der Arithmetik . In this essay, we provide its first English translation together with an introductory note. We also provide a translation of a note by Ernst Zermelo on Cantor's review, and a new translation of Frege's brief response to Cantor. In recent years, it has become philosophical folklore that Cantor's 1885 review of Frege's Grundlagen already contained a warning to Frege. This warning is said to concern the defectiveness (...)
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  12. Philip A. Ebert & Marcus Rossberg (2009). Ed Zalta's Version of Neo-Logicism: A Friendly Letter of Complaint. In Hannes Leitgeb & Alexander Hieke (eds.), Reduction – Abstraction – Analysis. Ontos. 11--305.
    In this short letter to Ed Zalta we raise a number of issues with regards to his version of Neo-Logicism. The letter is, in parts, based on a longer manuscript entitled “What Neo-Logicism could not be” which is in preparation. A response by Ed Zalta to our letter can be found on his website: http://mally.stanford.edu/publications.html (entry C3).
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  13. Marcus Rossberg (2009). Leonard, Goodman, and the Development of the Calculus of Individuals. In G. Ernst, O. Scholz & J. Steinbrenner (eds.), Nelson Goodman: From Logic to Art. Ontos.
    This paper investigates the relation of the Calculus of Individuals presented by Henry S. Leonard and Nelson Goodman in their joint paper, and an earlier version of it, the so-called Calculus of Singular Terms, introduced by Leonard in his Ph.D. dissertation thesis Singular Terms. The latter calculus is shown to be a proper subsystem of the former. Further, Leonard’s projected extension of his system is described, and the definition of an intensional part-relation in his system is proposed. The final section (...)
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  14. Marcus Rossberg & Daniel Cohnitz (2009). Logical Consequence for Nominalists. Theoria. An International Journal for Theory, History and Foundations of Science 24 (2):147-168.
    It is often claimed that nominalistic programmes to reconstruct mathematics fail, since they will at some point involve the notion of logical consequence which is unavailable to the nominalist. In this paper we use an idea of Goodman and Quine to develop a nominalistically acceptable explication of logical consequence.
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  15. Nikolaj Jang Lee Linding Pedersen & Marcus Rossberg (2007). McGee on Open-Ended Schemas. In Helen Bohse & Sven Walter (eds.), Selected Contributions to GAP.6: Sixth International Conference of the German Society for Analytical Philosophy, Berlin, 11–14 September 2006. mentis.
    Vann McGee claims that open-ended schemas are more innocuous than ordinary second-order quantification, particularly in terms of ontological commitment. We argue that this is not the case.
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  16. Marcus Rossberg & Philip A. Ebert (2007). What is the Purpose of Neo-Logicism? Traveaux de Logique 18:33-61.
    This paper introduces and evaluates two contemporary approaches of neo-logicism. Our aim is to highlight the differences between these two neo-logicist programmes and clarify what each projects attempts to achieve. To this end, we first introduce the programme of the Scottish school – as defended by Bob Hale and Crispin Wright1 which we believe to be a..
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  17. Daniel Cohnitz & Marcus Rossberg (2006). Nelson Goodman. Acumen.
    (R. Schwartz, “In Memoriam Nelson Goodman (August 7, 1906—November 25, 1998)", Erkenntnis 50 (1999), 7410, esp. 8) . With Goodman's car, Quine took almost all of his students from his seminar on Carnap's Logische Syntax to Baltimore.
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  18. Marcus Rossberg (2006). Die Vertreibung aus dem Platonischen Paradies. Erwägen – Wissen – Ethik 17 (Naturalism in Mathematics):387–389.
  19. Marcus Rossberg (2004). First-Order Logic, Second-Order Logic, and Completeness. In Vincent Hendricks, Fabian Neuhaus, Stig Andur Pedersen, Uwe Scheffler & Heinrich Wansing (eds.), First-Order Logic Revisited. Logos. 303-321.
    This paper investigates the claim that the second-order consequence relation is intractable because of the incompleteness result for SOL. The opponents’ claim is that SOL cannot be proper logic since it does not have a complete deductive system. I argue that the lack of a completeness theorem, despite being an interesting result, cannot be held against the status of SOL as a proper logic.
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