What Came Before the Abacus?
In short: From notched bones to clay tokens to pebbles on ruled lines, a short look at how people counted with objects before the abacus, how the earliest abacuses grew from that habit, and what remains uncertain.
A 1:22 short film in the series “From Fingers to Qubits”, narrated by intellect_voice_01.
Sources used in this film: Smithsonian Institution, National Museum of Natural History (Human Origins Program), “Ishango Bone”; Philosophical Transactions of the Royal Society B (Royal Society), hosted on PubMed Central by the US National Library of Medicine; article by Francesco d'Errico et al., 2018, “From number sense to number symbols. An archaeological perspective”; Denise Schmandt-Besserat (University of Texas at Austin faculty site), “From Accounting to Writing | Denise Schmandt-Besserat”; Denise Schmandt-Besserat (personal research site hosted by The University of Texas at Austin), “Tokens: their Significance for the Origin of Counting and Writing”; Denise Schmandt-Besserat, University of Texas at Austin (sites.utexas.edu), “Tokens and Writing: The Cognitive Development”; Smithsonian Institution, National Museum of American History, “Salamis Counting Table (replica)”; Computer History Museum, “Computer History Museum”; Loyola University Chicago (Loyola eCommons), hosting Maher & Makowski, 'Literary Evidence for Roman Arithmetic with Fractions', Classical Philology 96(4), 2001, University of Chicago Press, “Literary Evidence for Roman Arithmetic with Fractions”; Visible Language (journal), hosted by University of Cincinnati Journals; article by Denise Schmandt-Besserat, “4240”; Computer History Museum, “Computer History Museum”; arXiv (preprint by Jenny Baur), “Evidence for Intentional Arithmetic Design in the Upper Palaeolithic?”; arXiv preprint by Vladimir Pletser (European Space Research and Technology Centre, European Space Agency), “DOES THE ISHANGO BONE INDICATE A KNOWLEDGE OF THE BASE 12”; Visible Language journal (1986), article by Denise Schmandt-Besserat, The University of Texas at Austin; hosted on a University of Texas site, “New-Tokens-FactsandInterpretationVisibleLanguage.pdf”; Exchanges: the Warwick Research Journal (University of Warwick); a 2017 conversation by Denise Wilding, Clare Rowan, Bill Maurer and Denise Schmandt-Besserat, “WRAP-tokens-writing-(ac)counting-conversation-Denise-Schmandt-Besserat-Bill-Maurer-Rowan-2017.pdf”.
Sources used in this film
- Smithsonian Institution, National Museum of Natural History (Human Origins Program) — Ishango Bone · View →
- Philosophical Transactions of the Royal Society B (Royal Society), hosted on PubMed Central by the US National Library of Medicine; article by Francesco d'Errico et al., 2018 — From number sense to number symbols. An archaeological perspective · View →
- Denise Schmandt-Besserat (University of Texas at Austin faculty site) — From Accounting to Writing | Denise Schmandt-Besserat · View →
- Denise Schmandt-Besserat (personal research site hosted by The University of Texas at Austin) — Tokens: their Significance for the Origin of Counting and Writing · View →
- Denise Schmandt-Besserat, University of Texas at Austin (sites.utexas.edu) — Tokens and Writing: The Cognitive Development · View →
- Smithsonian Institution, National Museum of American History — Salamis Counting Table (replica) · View →
- Computer History Museum — Computer History Museum · View →
- Loyola University Chicago (Loyola eCommons), hosting Maher & Makowski, 'Literary Evidence for Roman Arithmetic with Fractions', Classical Philology 96(4), 2001, University of Chicago Press — Literary Evidence for Roman Arithmetic with Fractions · View →
- Visible Language (journal), hosted by University of Cincinnati Journals; article by Denise Schmandt-Besserat — 4240 · View →
- Computer History Museum — Computer History Museum · View →
- arXiv (preprint by Jenny Baur) — Evidence for Intentional Arithmetic Design in the Upper Palaeolithic? · View →
- arXiv preprint by Vladimir Pletser (European Space Research and Technology Centre, European Space Agency) — DOES THE ISHANGO BONE INDICATE A KNOWLEDGE OF THE BASE 12 · View →
- Visible Language journal (1986), article by Denise Schmandt-Besserat, The University of Texas at Austin; hosted on a University of Texas site — New-Tokens-FactsandInterpretationVisibleLanguage.pdf · View →
- Exchanges: the Warwick Research Journal (University of Warwick); a 2017 conversation by Denise Wilding, Clare Rowan, Bill Maurer and Denise Schmandt-Besserat — WRAP-tokens-writing-(ac)counting-conversation-Denise-Schmandt-Besserat-Bill-Maurer-Rowan-2017.pdf · View →
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Sources
- Summary by Intellect · source: Smithsonian National Museum of Natural History, Human Origins Program: Ishango Bone
- Also: Philosophical Transactions of the Royal Society B (The Royal Society), hosted on PubMed Central by the US National Libra: From number sense to number symbols. An archaeological perspective
- Also: Denise Schmandt-Besserat (University of Texas at Austin faculty site): From Accounting to Writing | Denise Schmandt-Besserat
- Also: Denise Schmandt-Besserat, University of Texas at Austin (sites.utexas.edu): Tokens: their Significance for the Origin of Counting and Writing
- Also: Denise Schmandt-Besserat, University of Texas at Austin (sites.utexas.edu): Tokens and Writing: The Cognitive Development
- Also: Smithsonian Institution, National Museum of American History: Salamis Counting Table (replica)
- Also: Computer History Museum (CHM Revolution): Salamis tablet, marble - CHM Revolution
- Also: Loyola University Chicago (Loyola eCommons), hosting Maher & Makowski, 'Literary Evidence for Roman Arithmetic with Frac: Literary Evidence for Roman Arithmetic with Fractions
- Also: Visible Language (journal, archived by University of Cincinnati Journals); article by Denise Schmandt-Besserat, Universi: 4240
- Also: Computer History Museum (CHM Revolution online exhibition): The Versatile, Venerable Abacus - CHM Revolution
- Also: arXiv (preprint by Jenny Baur): Evidence for Intentional Arithmetic Design in the Upper Palaeolithic?
- Also: arXiv preprint by Vladimir Pletser (European Space Research and Technology Centre, European Space Agency): DOES THE ISHANGO BONE INDICATE A KNOWLEDGE OF THE BASE 12
- Also: Visible Language (1986 article by Denise Schmandt-Besserat, The University of Texas at Austin; PDF hosted on a Universit: New-Tokens-FactsandInterpretationVisibleLanguage.pdf
- Also: Exchanges: the Warwick Research Journal (University of Warwick); a 2017 conversation by Denise Wilding, Clare Rowan, Bil: WRAP-tokens-writing-(ac)counting-conversation-Denise-Schmandt-Besserat-Bill-Maurer-Rowan-2017.pdf
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