Overview Counting Number Origin(s) of Number Communicating Number (Penn State) History of Writing A Partial History of Counting Counting? Writing and Numbers History of Numeral Systems Construction of the Natural Numbers (MIT) Construction of Number Systems A Partial History of Numbers Number Theory Peano Axioms Peano Difference (Philosophy) Development Counting Bee Numbers and Language Keith Devlin on the History of Mathematics 1. Development 2. Golden Ratio 3. Algebra 4. ? .... ? 5. Ability Timeline Evolution Overview 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 Counting Prior to Number? Is There Number without Lang...
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