Re: The Difference between a Set and an Element


Nam D. Nguyen wrote:
The concept of *set* can be as he says fundamental mathematical concepts
should be: that doesn't stop the members of sets being as concrete as
you like.

It does stop "members of sets being as concrete" because concepts should be
abstract. Period.

An elementary fallacy. The fact that the *concept* of a set is abstract
doesn't entail that the *members* of sets have to abstract.

.

Relevant Pages

  • Re: The Difference between a Set and an Element
    ... Nam D. Nguyen wrote: ... It does stop "members of sets being as concrete" because concepts should be ... An elementary fallacy. ... doesn't entail that the *members* of sets have to be abstract. ...
    (sci.logic)
  • Re: The set of all finite ordinals and Omega.
    ... That doesn't entail that N has only natural numbers as members. ... Example: Omega u }}}. ... Morevover, again, there a lot of ways to formulate a description of ...
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  • Re: The set of all finite ordinals and Omega.
    ... That doesn't entail that N has only natural numbers as members. ... Morevover, again, there a lot of ways to formulate a description of ... clauses. ...
    (sci.logic)