id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_asga64s2t5es7dfaikdqajqama	Frank Arntzenius	Is Quantum Mechanics Pointless?	2003	18	.pdf	application/pdf	5363	316	65	the formalism of quantum mechanics strongly suggests that its value spaces, including physical quantum mechanics as a separable Hilbert space, continuous observables do not have of the position operator X corresponding to the point x=5 in physical space. fact that wave-functions are representations of states in a separable Hilbert space that each wavefunction is not simply a square integrable function, but rather an equivalence class of square integrable functions which differ in their values at most on a set of (Lebesque) measure 0. in a Hilbert space one needs to assume that wave-functions correspond to equivalence classes of Hilbert space H there must exist a limit state corresponding to each Cauchy sequence. A quantum field M(f) is defined as a linear map from "test functions" f (x) to operators. existence of points in space-time, since the smeared field operators are defined in terms of	./cache/work_asga64s2t5es7dfaikdqajqama.pdf	./txt/work_asga64s2t5es7dfaikdqajqama.txt