Re: Mathematical strings

John Jones wrote:
MoeBlee wrote:
John Jones wrote:
A finite sequence of characters is a pictogram by virtue of it being
finite, a sequence, and being composed of characters.

And what some people have been trying to get through to you is that
mathematical symbols are not necessarily construed to be characters.

MoeBlee

A mathematical symbol is a "monad string" - as long as it is a symbol.
A monad string, like a linear string, or any string, is generally a
visual display that helps the mathematician to invoke and awaken
intuitions for use in abstract manipulations. For example,
"beginning/end" are invoked by a visual linear string to enable
counting which uses "start/finish".

Some of us keep trying to get through to you that symbols are not
necessarily to be regarded as objects that are visual displays. A
visual display may be a rendering or a way of presenting a symbol or a
string of symbols, but we may regard the symbols and strings themselves
to be abstract objects that are not the same as their visual display in
the form of such things as written characters.

Unlike a linear string, a monad string invokes appearance/disappearance
(which are the properties of a visual symbol) to invoke "act" (action
is the consequence of disappearance and appearance). Examples of monad
strings that act are 'functions'.

That should clarify. So far my examples have been: linear string,
circular string, monad string, box string. I am sure that you can think
of a few yourself.

I'm sure any of us could think up a lot of stuff.

MoeBlee

.

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