A new definition of natural numbers



Many long discussions in this group lead to the conclusion, that it is
necessary to define anew what is a natural number. I propose this:
A natural number is a number which has its own name in form of a numeral in a natural language (for example English).
Therefore, infinity is not a natural number, since it is from its
nature indefinite, as numerals some or many are.
It can be discussed, if mathematical expressions for large numbers
belong to natural languages or or if they form an artificial language,
as Esperanto or computer languages are.
Physicists must precise in next hundreds years the definition of the
Avogadro number. Otherwise, it can not keep its status of the natural
number.
kunzmilan

.



Relevant Pages

  • Re: Epistemology 201: The Science of Science
    ... that there are details of infinity that it does not capture. ... just because there is the same Cantorian cardinality. ... > Consider two idealized C like computer languages. ... > The above two programs are both legal C10 programs. ...
    (sci.math)
  • Re: Epistemology 201: The Science of Science
    ... that there are details of infinity that it does not capture. ... just because there is the same Cantorian cardinality. ... > Consider two idealized C like computer languages. ... > The above two programs are both legal C10 programs. ...
    (sci.cognitive)
  • Re: Epistemology 201: The Science of Science
    ... that there are details of infinity that it does not capture. ... just because there is the same Cantorian cardinality. ... > Consider two idealized C like computer languages. ... > The above two programs are both legal C10 programs. ...
    (sci.physics)
  • Re: regular languages behaviour at infinity
    ... of all even-length strings over Sigma. ... This should be helpful in studying their behaviour as n -> infinity. ... This measures "small" languages, and that is what I need. ...
    (sci.math)