Year:

  1.  36
    Existence, Mathematical Nominalism, and Meta-Ontology: An Objection to Azzouni on Criteria for Existence.Farbod Akhlaghi-Ghaffarokh - 2018 - Philosophia Mathematica 26 (2):251-265.
    Jody Azzouni argues that whilst it is indeterminate what the criteria for existence are, there is a criterion that has been collectively adopted to use ‘exist’ that we can employ to argue for positions in ontology. I raise and defend a novel objection to Azzouni: his view has the counterintuitive consequence that the facts regarding what exists can and will change when users of the word ‘exist’ change what criteria they associate with its usage. Considering three responses, I argue Azzouni (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  2.  9
    Introduction to Special Issue: Aesthetics in Mathematics†.Angela Breitenbach & Davide Rizza - 2018 - Philosophia Mathematica 26 (2):153-160.
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  3.  6
    Robert Lorne Victor Hale FRSE May 4, 1945 – December 12, 2017.Roy T. Cook & Stewart Shapiro - 2018 - Philosophia Mathematica 26 (2):266-274.
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  4.  12
    The Because of Because Without Cause†.Daniele Molinini - 2018 - Philosophia Mathematica 26 (2):275-286.
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  5.  13
    The Beautiful Art of Mathematics†.Adam Rieger - 2018 - Philosophia Mathematica 26 (2):234-250.
    ABSTRACT Mathematicians frequently use aesthetic vocabulary and sometimes even describe themselves as engaged in producing art. Yet aestheticians, in so far as they have discussed this at all, have often downplayed the ascriptions of aesthetic properties as metaphorical. In this paper I argue firstly that the aesthetic talk should be taken literally, and secondly that it is at least reasonable to classify some mathematics as art.
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  6.  6
    Aesthetic Preferences in Mathematics: A Case Study†.Irina Starikova - 2018 - Philosophia Mathematica 26 (2):161-183.
    Although mathematicians often use it, mathematical beauty is a philosophically challenging concept. How can abstract objects be evaluated as beautiful? Is this related to their visualisations? Using an example from graph theory, this paper argues that, in making aesthetic judgements, mathematicians may be responding to a combination of perceptual properties of visual representations and mathematical properties of abstract structures; the latter seem to carry greater weight. Mathematical beauty thus primarily involves mathematicians’ sensitivity to aesthetics of the abstract.
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  7.  1
    Fitting Feelings and Elegant Proofs: On the Psychology of Aesthetic Evaluation in Mathematics†.Cain Todd - 2018 - Philosophia Mathematica 26 (2):211-233.
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  8.  33
    Francesca Biagioli. Space, Number, and Geometry From Helmholtz to Cassirer. [REVIEW]Thomas Mormann - 2018 - Philosophia Mathematica (2).
    © The Authors [2017]. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.comThe book Space, Number, and Geometry from Helmholtz to Cassirer is a reworked version of Francesca Biagioli’s PhD thesis. It aims ‘[to offer] a reconstruction of the debate on non-Euclidean geometry in neo-Kantianism between the second half of the nineteenth century and the first decades of the twentieth century’. More precisely, Biagioli concentrates on how the Marburg school of neo-Kantianism dealt with what may be (...)
    Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
 Previous issues
  
Next issues