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O. Linnebo [4]Oystein Linnebo [3]
  1. Oystein Linnebo, Ontology and the Concept of an Object.
    When people deny that there are objects of a certain kind, they normally take this to be a reason to stop speaking as if such objects existed. For instance, when atheists deny the existence of God, they take this to be a reason to stop speaking about God’s will or His mercy. Or, to take a more mundane example, when people deny that there are round squares or that there are unicorns, they take this to be a reason to stop (...)
     
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  2. Oystein Linnebo, To Be is to Be an F 1. Introduction.
    Is the natural number 3 identical with the Roman emperor Julius Caesar? In Grundlagen Frege raised some peculiar questions of this sort.1 There are two kinds of intuitions regarding such questions. On the one hand, these questions seem not only to be pointless but to be downright meaningless. Regardless of how much arithmetic one studies, no answer to the opening question will be forthcoming. Arithmetic tells us that 3 is the successor of 2 and that it is prime, but not (...)
     
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  3. O. Linnebo & R. Pettigrew (forthcoming). Two Types of Abstraction for Structuralism. Philosophical Quarterly.
    If numbers were identified with any of their standard set-theoretic realizations, then they would have various non-arithmetical properties that mathematicians are reluctant to ascribe to them. Dedekind and later structuralists conclude that we should refrain from ascribing to numbers such ‘foreign’ properties. We first rehearse why it is hard to provide an acceptable formulation of this conclusion. Then we investigate some forms of abstraction meant to purge mathematical objects of all ‘foreign’ properties. One form is inspired by Frege; the other (...)
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  4. O. Linnebo (2008). Review: Fraser MacBride (Ed.): Identity and Modality. [REVIEW] Mind 117 (467):705-708.
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  5. O. Linnebo (2003). Stewart Shapiro. Philosophy of Mathematics: Structure and Ontology. Philosophia Mathematica 11 (1):92-103.
  6. O. Linnebo (2000). Early Analytic Philosophy: Frege, Russell, Wittgenstein. Philosophical Review 109 (1):98-101.