Some Questions.



1. Can mathematics be done without the concept of set (or class or collection)?

2. To what extent is set -theory- necessary to do mathematics?

The questions are slightly different, so please note.

3. Are there alternate foundations of mathematics to sets?

TIA for your responses.

Bob Kolker

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Relevant Pages

  • Re: Some Questions.
    ... Are there alternate foundations of mathematics to ... TIA for your responses. ... Bob Kolker ...
    (sci.math)
  • Re: [EGN] Re: turing completeness
    ... >> the system, the stimuli given, and the response. ... >information about its responses to certain inputs. ... You can describe a useless untrained NN in terms of simple mathematics, ... in mathematics correspond to a complicated system of axioms. ...
    (comp.programming)
  • Re: Epistemology 201: The Science of Science
    ... >>It is about deriving conclusions from axioms by logic. ... >>Bob Kolker ... You misunderstand mathematics. ... only roughly - there are always measurement errors etc that the math ...
    (sci.math)
  • Re: Epistemology 201: The Science of Science
    ... >>It is about deriving conclusions from axioms by logic. ... >>Bob Kolker ... You misunderstand mathematics. ... only roughly - there are always measurement errors etc that the math ...
    (sci.cognitive)
  • Re: Epistemology 201: The Science of Science
    ... >>It is about deriving conclusions from axioms by logic. ... >>Bob Kolker ... You misunderstand mathematics. ... only roughly - there are always measurement errors etc that the math ...
    (sci.physics)