Invariance of Galileo’s Law of Fall under a Change of the Unit of Time

Publication Year:
2014
Usage 130
Downloads 130
Social Media 1
Tweets 1
Repository URL:
http://philsci-archive.pitt.edu/id/eprint/10931
Author(s):
Norton, John D.
Most Recent Tweet View All Tweets
preprint description
The inductive problem of extending the sequence 1, 3, 5, 7, is solved when these numbers are the ratios of the incremental distances fallen in successive unit times. The controlling fact is Galileo’s assumption that these ratios are invariant under a change of the unit of time. It admits few laws and only one is compatible with the two-numbered initial sequence 1, 3.