Re: Logarithm of transfinite numbers


matt271829-news@xxxxxxxxxxx wrote:
Virgil wrote:
The constraint that no string contain more that a finite number of
non-zero bits. So that each may be replaced by a finite string
indicating the same natural, or integer.

In the representation in question, which is the normal binary
representation of natural numbers, exactly what finite number do you
think that would be then?

Huh?

Each is replaced by a DIFFERENT finite number. When
we say every natural is a finite integer, we don't mean
every natural is the same finite integer.

- Randy

.

Relevant Pages

  • Re: Arbitrary strings of digits in the decimal display of irrational numbers
    ... finite string of digitd somewhere in the decimal display of ... digits that does not occur in the display of that member of C. (For ... "Klueless" has given a nice construction of an uncountable subset of B ... irrational number with the special representation with the basis 10 ...
    (sci.math.symbolic)
  • Re: Cardinality of Set of Computable Numbers?
    ... This is just idiotic, Russ. ... What you have defined here is a FINITE STRING. ... scheme of REPRESENTATION for numbers in terms of characters! ... "The finite output string of a TM" ...
    (comp.theory)