What Counts

By

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 Language?

Is Counting Prior to Language?

 Are Words Required for Numbers?

Does Language Give Sense to Number?

 

Philosophy



 Number Systems

Number System (Definition)

Number Systems (Wikipedia)


Social Critique

Answering to Algorithms

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