"Numerous factors compel the scientist to revise constantly his
conceptual construction. Apart from general cultural predisposi- tions,
conditioned by specific philosophical, theological, or politi- cal
considerations, the three most important methodological fac- tors
calling for such revisions seem to be: (1) the outcome of further
experimentation and observation, introducing new effects hitherto
unaccounted for; (2) possible inconsistencies in the logi- cal network
of derived concepts and their interrelations; (3) the search for maximum
simplicity and elegance of the conceptual construction. In most cases
it is a combination of two of these factors, and often even the
simultaneous consideration of all of them, that leads to a readjustment
or basic change of the con- ceptual structure." (Max Jammer)
(3) is definitely related to the drive for abstraction when it comes to Mathematics. One could wonder why we have (3) as a goal. But the answer is simple: because it allows our poor limited intellect to make new progress while tackling increasingly complex subjects by ... making them conceptually as simple as they possibly can be.
(3) is definitely related to the drive for abstraction when it comes to Mathematics. One could wonder why we have (3) as a goal. But the answer is simple: because it allows our poor limited intellect to make new progress while tackling increasingly complex subjects by ... making them conceptually as simple as they possibly can be.
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