What Counts
Overview
Communicating Number (Penn State)
Construction of the Natural Numbers (MIT)
Construction of Number Systems
Development
Keith Devlin on the History of Mathematics
1. Development
2. Golden Ratio
3. Algebra
4. ? .... ?
5. Ability
Timeline
The Big Bang: ~13.8 Billion Years Ago
The Earth: ~4.5 Billion Years Ago
Human Beings: ~3 Million to ~1.9 Million Years Ago
Modern Human Beings: ~200,000 Years Ago
Human Language; ~150,000 Years Ago
Evidence of Counting: ~46,000 to ~10,000 Years Ago
The Anthropocene: ~8,000 Years Ago
Evidence of Human Language: ~6,000 Years Ago
Evidence of Writing (i.e., not Proto-Writing): ~5,200 Years Ago
Questions
Is There Number without Language?
Is Counting Prior to Language?
Are Words Required for Numbers?
Does Language Give Sense to Number?
Philosophy
Number Systems
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