Switch to: References

Add citations

You must login to add citations.
  1. Structure and Categoricity: Determinacy of Reference and Truth Value in the Philosophy of Mathematics.Tim Button & Sean Walsh - 2016 - Philosophia Mathematica 24 (3):283-307.
    This article surveys recent literature by Parsons, McGee, Shapiro and others on the significance of categoricity arguments in the philosophy of mathematics. After discussing whether categoricity arguments are sufficient to secure reference to mathematical structures up to isomorphism, we assess what exactly is achieved by recent ‘internal’ renditions of the famous categoricity arguments for arithmetic and set theory.
    Download  
     
    Export citation  
     
    Bookmark   11 citations  
  • Introduction.Agustin Rayo & Gabriel Uzquiano - 2006 - In Agustín Rayo & Gabriel Uzquiano (eds.), Absolute generality. New York: Oxford University Press.
    Whether or not we achieve absolute generality in philosophical inquiry, most philosophers would agree that ordinary inquiry is rarely, if ever, absolutely general. Even if the quantifiers involved in an ordinary assertion are not explicitly restricted, we generally take the assertion’s domain of discourse to be implicitly restricted by context.1 Suppose someone asserts (2) while waiting for a plane to take off.
    Download  
     
    Export citation  
     
    Bookmark   22 citations  
  • Plurals.Agustín Rayo - 2007 - Philosophy Compass 2 (3):411–427.
    Forthcoming in Philosophical Compass. I explain why plural quantifiers and predicates have been thought to be philosophically significant.
    Download  
     
    Export citation  
     
    Bookmark   15 citations  
  • A renaissance of empiricism in the recent philosophy of mathematics.Imre Lakatos - 1976 - British Journal for the Philosophy of Science 27 (3):201-223.
    Download  
     
    Export citation  
     
    Bookmark   44 citations  
  • The state of the economy: Neo-logicism and inflation.Rov T. Cook - 2002 - Philosophia Mathematica 10 (1):43-66.
    In this paper I examine the prospects for a successful neo–logicist reconstruction of the real numbers, focusing on Bob Hale's use of a cut-abstraction principle. There is a serious problem plaguing Hale's project. Natural generalizations of this principle imply that there are far more objects than one would expect from a position that stresses its epistemological conservativeness. In other words, the sort of abstraction needed to obtain a theory of the reals is rampantly inflationary. I also indicate briefly why this (...)
    Download  
     
    Export citation  
     
    Bookmark   14 citations  
  • La théorie des catégories de Sommers: une nouvelle introduction.George Englebretsen - 1988 - Dialogue 27 (3):451-473.
    Les travaux de Fred Sommers dans le domaine de l'ontologie ont été l'objet, jusqu'à présent, de beaucoup moins d'attention critique qu'ils ne sont aptes à en susciter. C'est au cours des années soixante que Sommers a élaboré sa théorie et qu'il l'a rendue publique par le moyen d'une série d'articles et de conférences. Bien que ses travaux aient alors fait l'objet de quelques critiques ou commentaires, ils ont, depuis, généralement été passés sous silence. Récemment, la revue Monist a fait paraître (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • A Note on Predication.George Englebretsen - 1980 - Dialogue 19 (4):627-628.
    Download  
     
    Export citation  
     
    Bookmark  
  • Logique mathématique et philosophie des mathématiques.Yvon Gauthier - 1971 - Dialogue 10 (2):243-275.
    Pour le philosophe intéressé aux structures et aux fondements du savoir théorétique, à la constitution d'une « méta-théorétique «, θεωρíα., qui, mieux que les « Wissenschaftslehre » fichtéenne ou husserlienne et par-delà les débris de la métaphysique, veut dans une intention nouvelle faire la synthèse du « théorétique », la logique mathématique se révèle un objet privilégié.
    Download  
     
    Export citation  
     
    Bookmark  
  • Unifying foundations – to be seen in the phenomenon of language.Lars Löfgren - 2004 - Foundations of Science 9 (2):135-189.
    Scientific knowledge develops in an increasingly fragmentary way.A multitude of scientific disciplines branch out. Curiosity for thisdevelopment leads into quests for a unifying understanding. To a certain extent, foundational studies provide such unification. There is a tendency, however, also of a fragmentary growth of foundational studies, like in a multitude of disciplinaryfoundations. We suggest to look at the foundational problem, not primarily as a search for foundations for one discipline in another, as in some reductionist approach, but as a steady (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Brouwer versus Hilbert: 1907–1928.J. Posy Carl - 1998 - Science in Context 11 (2):291-325.
    The ArgumentL. E. J. Brouwer and David Hubert, two titans of twentieth-century mathematics, clashed dramatically in the 1920s. Though they were both Kantian constructivists, their notoriousGrundlagenstreitcentered on sharp differences about the foundations of mathematics: Brouwer was prepared to revise the content and methods of mathematics (his “Intuitionism” did just that radically), while Hilbert's Program was designed to preserve and constructively secure all of classical mathematics.Hilbert's interests and polemics at the time led to at least three misconstruals of intuitionism, misconstruals which (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • Two Unpublished Contributions by Alfred Tarski.Francisco Rodriguez-Consuegra - 2007 - History and Philosophy of Logic 28 (3):257-264.
    Two unpublished contributions to meetings can be found in the Alfred Tarski Papers, at the University of California, Berkeley. The meetings took place in 1965, in Chicago and London, respectively....
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • (1 other version)A completeness theorem for unrestricted first- order languages.Agustin Rayo & Timothy Williamson - 2003 - In J. C. Beall (ed.), Liars and Heaps: New Essays on Paradox. Oxford, England: Oxford University Press UK.
    Here is an account of logical consequence inspired by Bolzano and Tarski. Logical validity is a property of arguments. An argument is a pair of a set of interpreted sentences (the premises) and an interpreted sentence (the conclusion). Whether an argument is logically valid depends only on its logical form. The logical form of an argument is fixed by the syntax of its constituent sentences, the meanings of their logical constituents and the syntactic differences between their non-logical constituents, treated as (...)
    Download  
     
    Export citation  
     
    Bookmark   29 citations