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Bottom line:
-- You are free to define "weight" and "gravity" however you like ...
but if you choose wacky definitions, it's a disservice to your students.
-- You are free to define "weight" and "gravity" however you like ...
but if you want your definition to be *consistent* with practical
applications, including universally-accepted weighing procedures
and universally-accepted notions of horizontal and vertical, then
your choices are more limited.