[FOM] Brouwer on mathematical operations
Lucius Schoenbaum
ltsbaum at gmail.com
Sat Dec 27 09:20:16 EST 2008
Dear FOMers,
"One cannot inquire into the foundations and nature of mathematics
without delving into the question of the operations by which the
mathematical activity of the mind is conducted. If one failed to take
that into account, then one would be left studying only the language
in which mathematics is represented rather than the essence of
mathematics." L.E.J. Brouwer
I am only a student, but I am inclined to agree with Brouwer. Does
anyone else agree also? If I venture to call intuitionism an
"operational" approach in foundations, can anyone think of anything
similar existing today in foundations? What operations do you think
Brouwer had in mind?
By the way, I would be much obliged to anyone who could tell me the
source of this quotation.
Sincerely,
Lucius Schoenbaum
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