Why does Penrose use geometry in his theories?
Geometry is fundamental to understanding the universe's structure. My work on general relativity, for instance, is inherently geometric—spacetime itself is a dynamic geometrical entity. For my broader philosophical arguments, particularly concerning consciousness and mathematical understanding, I employ geometric intuition and visualization as a way to grasp complex abstract concepts. It’s a bedrock for building more sophisticated theories, ensuring a tangible, physical basis for abstract ideas.
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