Re: Polish foundations?



Jim Spriggs
> Has any work been done using Lesniewski's ontology or mereology as
> foundations for mathematics (in the way that type theory and set theory
> are used as foundations)?

Yes.
For a survey, see for example Burgess and Rosen 1997, _A Subject with No
Object: Strategies for Nominalist Interpretation of Mathematics_. This will
lead you to further literature on Polish topics: mereology, substitutional
quantification, etc.
See also David Lewis 1991, _Parts of Classes_.

--- Jeff


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Relevant Pages

  • Re: Polish foundations?
    ... >> foundations for mathematics (in the way that type theory and set theory ... Strategies for Nominalist Interpretation of Mathematics_. ... > lead you to further literature on Polish topics: mereology, ...
    (sci.logic)
  • Polish foundations?
    ... foundations for mathematics (in the way that type theory and set theory ...
    (sci.logic)
  • Re: Polish foundations?
    ... > Has any work been done using Lesniewski's ontology or mereology as ... > foundations for mathematics (in the way that type theory and set theory ...
    (sci.logic)
  • Re: Polish foundations?
    ... Paul Holbach wrote: ... >>> Has any work been done using Lesniewski's ontology or mereology as ... >>> are used as foundations)? ... would mathematics be different if they did? ...
    (sci.logic)
  • Re: Polish foundations?
    ... >> foundations for mathematics (in the way that type theory and set theory ...
    (sci.logic)