id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_f4a7gr5h55eoxc4pmcul2vbjda	David B. Malament	Norton's Slippery Slope	2008	19	.pdf	application/pdf	6491	744	81	sliding particle is uniquely determined by its initial position and velocity. (One arrives at the phase space for Norton's dome+particle system by starting The standard claim that Newtonian particle mechanics is deterministic is underwritten by the fundamental existence and uniqueness theorem concerning Now we turn from geometry to physics, and consider the motion of a particle sliding down a ramp – first a generic ramp, and then a Norton ramp, in that, at any particular point, whatever else is the case, the background gravitational force is sufficiently strong to hold the particle on the ramp. possibility that a particle slides down the ramp if it starts at the summit with Let us now consider what the phase space of a Norton ramp+particle system to the case where the particle is at the summit of Norton's ramp.15 Then it is If a particle is at some point on the ramp other than the summit, and	./cache/work_f4a7gr5h55eoxc4pmcul2vbjda.pdf	./txt/work_f4a7gr5h55eoxc4pmcul2vbjda.txt