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The Hole Paradox of a Straw
- The question of how many holes a straw has sparks passionate debate and reveals deep mathematical issues about definitions.
- Different perspectives show that often more than one answer can be correct depending on viewpoint.
Math as Naming Connections
- Mathematics is deeply human and communicated mostly through words and gestures.
- It involves naming different things with the same term to reveal underlying connections.
Geometry: Innate and Expansive
- Geometry is innate, built into human perception and reasoning.
- Formal geometry expands our ability to understand spaces beyond physical experience, like ten-dimensional space.