#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Lex Fridman Podcast
Exploring Infinity and Mathematical Thought
This chapter examines the philosophical stances of finitism, ultrafinitism, and intuitionism, questioning the role of infinity in mathematics and its implications on reasoning. The conversation also connects historical perspectives on infinity with modern computational challenges, particularly in machine learning and cellular automata. Through the narrative of mathematician John Conway, the chapter illustrates the interplay of creativity and analysis in mathematical practice, emphasizing the evolving nature of mathematical exploration.
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