Conventionalism in Geometry

摘要: Publisher Summary This chapter discusses how empirical facts function restrictively to support a unique metric geometry as the true description of physical space. The focuses on respective roles conventions and in ascription particular space basis measurements with rigid body. There is discussion about two principal problems that have been posed connection formulation criterion rigidity isochronism. Differential allows metrize given surface, an infinite blackboard or some portion it, various ways acquire any compatible its topology. Thus, if such network Cartesian coordinates it are present, above x-axis can be metrized, which confers hyperbolic space, by Euclidean metric.