id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_bmw4vhaetzdtnatmkhqe5eoxm4	Thomas William Barrett	On the Structure of Classical Mechanics	2014	26	.pdf	application/pdf	8261	757	71	Jill North (North, 2009) has recently argued that Hamiltonian mechanics ascribes less structure to the world than Lagrangian mechanics (P1) Lagrangian mechanics ascribes metric structure to the world. (P2) Hamiltonian mechanics ascribes symplectic structure to the world. One might at first try to make the following naive argument that Lagrangian mechanics ascribes Riemannian metric structure to the world. It is in precisely this sense, therefore, that Hamiltonian mechanics ascribes symplectic structure to the world. in general, Lagrangian mechanics does not posit metric structure. Suppose that, as North has argued, in Lagrangian mechanics the configuration space Q has a metric gq. Argument 2 demonstrates that Lagrangian mechanics has metric structure by considering both the statespace T∗Q and the Lagrangian mechanics could impute metric structure without Hamiltonian Even if there were a sense in which Lagrangian mechanics had metric structure without Hamiltonian mechanics having the same, North's argument for	./cache/work_bmw4vhaetzdtnatmkhqe5eoxm4.pdf	./txt/work_bmw4vhaetzdtnatmkhqe5eoxm4.txt