Explanatory Depth and Growth Mindset (with Daniel Greene)
Clearer Thinking with Spencer Greenberg
00:00
Understanding Mathematical Beliefs
This chapter examines the intricate relationship between intuitive knowledge and formal mathematical reasoning, illustrating how subjective beliefs often overshadow proving methods. It introduces the idea of epistemic debt and the importance of articulating one's beliefs to deepen understanding. The discussion also emphasizes the role of expert opinion in knowledge formation, considering the influence of emotions and personal stakes on objectivity.
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