Switch to: References

Add citations

You must login to add citations.
  1. Structuralist Neologicism†.Francesca Boccuni & Jack Woods - forthcoming - Philosophia Mathematica:nky017.
    ABSTRACT Neofregeanism and structuralism are among the most promising recent approaches to the philosophy of mathematics. Yet both have serious costs. We develop a view, structuralist neologicism, which retains the central advantages of each while avoiding their more serious costs. The key to our approach is using arbitrary reference to explicate how mathematical terms, introduced by abstraction principles, refer. Focusing on numerical terms, this allows us to treat abstraction principles as implicit definitions determining all properties of the numbers, achieving a (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  • Kant, Bolzano, and the Formality of Logic.Nicholas Stang - 2014 - In Sandra Lapointe & Clinton Tolley (eds.), The New Anti-Kant. pp. 193–234.
    In §12 of his 1837 magnum opus, the Wissenschaftslehre, Bolzano remarks that “In the new logic textbooks one reads almost constantly that ‘in logic one must consider not the material of thought but the mere form of thought, for which reason logic deserves the title of a purely formal science’” (WL §12, 46).1 The sentence Bolzano quotes is his own summary of others’ philosophical views; he goes on to cite Jakob, Hoffbauer, Metz, and Krug as examples of thinkers who held (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Extensionality and Logicality.Gil Sagi - 2017 - Synthese:1-25.
    Tarski characterized logical notions as invariant under permutations of the domain. The outcome, according to Tarski, is that our logic, which is commonly said to be a logic of extension rather than intension, is not even a logic of extension—it is a logic of cardinality. In this paper, I make this idea precise. We look at a scale inspired by Ruth Barcan Marcus of various levels of meaning: extensions, intensions and hyperintensions. On this scale, the lower the level of meaning, (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Logicality and Meaning.Gil Sagi - 2018 - Review of Symbolic Logic 11 (1):133-159.
    In standard model-theoretic semantics, the meaning of logical terms is said to be fixed in the system while that of nonlogical terms remains variable. Much effort has been devoted to characterizing logical terms, those terms that should be fixed, but little has been said on their role in logical systems: on what fixing their meaning precisely amounts to. My proposal is that when a term is considered logical in model theory, what gets fixed is its intension rather than its extension. (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation