                           19970511.00

     Perhaps even mathematics should be construed as instrument
of communication facilitating a community - uniformity - of
perception and action: and in this respect it resembles language;
and may, indeed, be indistinguishable from language.  Thus
Russell and Whitehead's deduction of mathematics from logic is
appropriate insofar as it posits the primacy of language.
However, by implication it attributed to logic a metaphysical
validity that logic does not possess.  That metaphysical validity
denigrates and ignores the circumstance that language and
mathematics, - and logic as well, have their empirical basis in
the structure and function of the social organism.

     The mathematical fact defines the coincidence of mind and
nature: hence it is the dissolution of the antithesis between
subject and object. The mathematical fact appears both
subjectively and objectively true. Compare the truths of
language: within an English speaking community, a table is
objectively a table.  In the association of a German and an
Englishman, however, a table is subjectively Tisch and table;
objectively it is an object that requires to be pointed out.

     Language creates a world of conceptual objects.  The
objective world, the world which is described, "die gedeutete
Welt", is nominally common to all men, even though it is at any
given time in process of metamorphosis, of coming into being and
passing away, because it is a function to the human minds that
participate in it.  At the same time, the description of the
world is never adequate to the (subjective) experience of any
given individual.

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