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Matteo Plebani

Università Degli Studi Di Torino
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  •  92
    If-Thenism, Arithmetic and Remainders
    Australasian Philosophical Review 1 (2): 196-201. 2017.
    ABSTRACTThe target article presents a new version of if-thenism: call it IF-thenism. In this commentary I discuss whether IF-thenism can solve a problem that besets classic if-thenism. The answer will be that it can, on certain assumptions. I will briefly examine the tenability of these assumptions.
  •  111
    Computability, Finiteness and the Standard Model of Arithmetic
    with Massimiliano Carrara and Enrico Martino
    In Francesca Boccuni & Andrea Sereni (eds.), Objectivity, Realism, and Proof. FilMat Studies in the Philosophy of Mathematics, Springer International Publishing. pp. 311-318. 2016.
    This paper investigates the question of how we manage to single out the natural number structure as the intended interpretation of our arithmetical language. Horsten submits that the reference of our arithmetical vocabulary is determined by our knowledge of some principles of arithmetic on the one hand, and by our computational abilities on the other. We argue against such a view and we submit an alternative answer. We single out the structure of natural numbers through our intuition of the abso…Read more
    Objectivity Of MathematicsAxiomatic Truth