Re: Shift-errors, recursive definitions

"Karl Malbrain" <malbrain@xxxxxxxxx> writes:

"george" <greeneg@xxxxxxxxxx> wrote in message
news:1178318129.292369.175700@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
On May 4, 1:15 pm, "karl malbrain" <malbr...@xxxxxxxxx> wrote:
Now, why don't you explain the lack of relationship
between counting, one by
one, and number, the expressed quantity of the count.

Primarily because AFFIRMING the relationship
most directly (e.g., when you count from 1 to 7,
and the quantity of things-so-counted IS 7) tends
to CONFIRM Phool's misguided contention that
putting a set of counting-numbers into correspondence
with n things

I think we all know that the most direct relationship isn't going to work
here. That's why I asked Jesse to give his.

I do not see any particular relevance to your question.

The physical act of counting more or less amounts to establishing a
bijection between the collection of objects being counted and a
natural number.

There is no such thing as literally counting an infinite set. Indeed,
there must be finite collections so large that no human will ever
count their number.

But what all this has to do with the definition of natural numbers and
the simple theorem that |N| = |E| is beyond me. All this nonsense of
adding marks to an accumulator at a fixed rate and counting N at an
infinite rate is irrelevant and confused conceptual silliness. It
does nothing at all to clarify the proof that |N| = |E|.

--
Jesse F. Hughes
"Well, I guess that's what a teacher from Oklahoma State University
considers proper as Ullrich has said it, and he is, in fact, a teacher
at Oklahoma State University." -- James S. Harris presents a syllogism
.

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