Switch to: Citations

Add references

You must login to add references.
  1. Mathematical symbols as epistemic actions.Johan De Smedt & Helen De Cruz - 2013 - Synthese 190 (1):3-19.
    Recent experimental evidence from developmental psychology and cognitive neuroscience indicates that humans are equipped with unlearned elementary mathematical skills. However, formal mathematics has properties that cannot be reduced to these elementary cognitive capacities. The question then arises how human beings cognitively deal with more advanced mathematical ideas. This paper draws on the extended mind thesis to suggest that mathematical symbols enable us to delegate some mathematical operations to the external environment. In this view, mathematical symbols are not only used to (...)
    Download  
     
    Export citation  
     
    Bookmark   22 citations  
  • Gravitating towards stability: Guidobaldo's Aristotelian-Archimedean synthesis.Maarten Van Dyck - 2006 - History of Science 44 (4):373-407.
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  • Symbol and Physical Knowledge: On the Conceptual Structure of Physics.Massimo Ferrari - 2002 - Springer Verlag.
    Introduces the problem of the symbolic structure of physics, surveys the modern history of symbols, proceeds to an epistemological discussion of the role of symbols in our knowledge of nature, and addresses key issues related to the methodology of physics and the character of its symbolic structures.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • The Art of Memory.Ian M. L. Hunter & Frances A. Yates - 1967 - Philosophical Quarterly 17 (67):169.
    Download  
     
    Export citation  
     
    Bookmark   209 citations  
  • The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History.Reviel Netz - 1999 - Cambridge and New York: Cambridge University Press.
    An examination of the emergence of the phenomenon of deductive argument in classical Greek mathematics.
    Download  
     
    Export citation  
     
    Bookmark   100 citations  
  • Dialogue concerning the Two Chief World Systems.Galileo Galilei & Stillman Drake - 1954 - British Journal for the Philosophy of Science 5 (19):253-256.
    Download  
     
    Export citation  
     
    Bookmark   132 citations  
  • Physico-mathematics and the search for causes in Descartes' optics—1619–1637.John A. Schuster - 2012 - Synthese 185 (3):467-499.
    One of the chief concerns of the young Descartes was with what he, and others, termed “physico-mathematics”. This signalled a questioning of the Scholastic Aristotelian view of the mixed mathematical sciences as subordinate to natural philosophy, non explanatory, and merely instrumental. Somehow, the mixed mathematical disciplines were now to become intimately related to natural philosophical issues of matter and cause. That is, they were to become more ’physicalised’, more closely intertwined with natural philosophising, regardless of which species of natural philosophy (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • Leibniz, the Master-Builder of Mathematical Notations.Florian Cajori - 1925 - Isis 7 (3):412-429.
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • The mathematical realm of nature.Michael Sean Mahoney - 1998 - In Daniel Garber & Michael Ayers (eds.), The Cambridge history of seventeenth-century philosophy. New York: Cambridge University Press. pp. 702-55.
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  • The Concepts of the Calculus: A Critical and Historical Discussion of the Derivative and the Integral.Carl B. Boyer - 1940 - Mind 49 (194):248-253.
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • The Concepts of the Calculus: A Critical and Historical Discussion of the Derivative and the Integral.Carl Benjamin Boyer - 1939 - Columbia University Press.
    Provides a critical account of the creation of the fundamental ideas of calculus from their inception to the formulation of these in the concepts familiar to students of the elements of mathematical analysis.
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Towards a psychology of literacy: on the relations between speech and writing.D. R. Olson - 1996 - Cognition 60 (1):83-104.
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  • A Study of Writing: The Foundations of Grammatology.David Diringer & I. J. Gelb - 1954 - Journal of the American Oriental Society 74 (2):92.
    Download  
     
    Export citation  
     
    Bookmark   31 citations