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Poincaré's Philosophy of Space: Topology & Perception | Étienne Ghys - YouTube

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Follow along using the transcript. Follow along using the transcript.

#Poincaré argues that (metric) geometry is neither a priori nor empirical, but rather conventional. It is important to note, however, that these conventions are guided by experience according to Poincaré, rather than being totally arbitrary, as some later writers take conventions to be. This connotation of the word ‘convention’ has led to many misrepresentations of Poincaré’s views. The existence of consistent alternative geometries shows that the geometry of space cannot be determined a priori. The fact that we experience material bodies and their relations, rather than space, leads…

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