New Books in Mathematics Joseph Mileti, "Modern Mathematical Logic" (Cambridge UP, 2022)
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Aug 15, 2022 AI Snips
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Math's True Nature
- Math is about defining things and reasoning about them using logic, not just manipulating formulas.
- Mathematicians define concepts rigorously, unlike other fields where definitions evolve.
Mathematical vs. Human Language
- Mathematical language is simpler than human language because it uses primitives and strict rules.
- This makes it easier to analyze and avoids ambiguity found in natural language.
Math: Invented or Discovered?
- There's a philosophical debate whether math is invented or a natural kind.
- Joe Mileti believes it's somewhere in between, a platonic world agreed upon by all beings.