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The Logicist Error
The Role of Models
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analogy appear argued assumed assumption basic bodies boundary conditions certainly charge Christoffel symbols classical mechanics classical physics components concepts considered coordinate system corresponding covariance curvature density derived Descartes determine developed dimensions distinct dynamical effect Einstein electromagnetic entities equivalence principle Euclidean Euclidean space extension fact field equations force formal four-dimensional function geodesic geometrodynamics geometry geon give given gravitational field important independent inertial initial integral interpretation introduce language logical Mach's principle manifold mathematical matter measure mechanics metric tensor motion nature Newton's Newtonian objects observable ontological parameters particular phenomena philosophers Phys physical theory Plato possible postulate principle problem properties quantities quantum reason receptacle Relativity require Ricci tensor Riemann tensor Riemannian Schwarzschild scientific Sellars significance simply singularities solution space space-time spacelike spatial structure symmetry test particle theoretical things tion unified field theory universe vanish vector Wheeler wormhole
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