…俄罗斯算盘 Tchoty [3] 并不划分算盘盘面,而是用两种颜色的珠子。如果你对“算盘/算筹板”的历史和种类这类大体全面的探讨感兴趣,K·梅宁格(K. Menninger)的《数词与数字符号》(Number Words and Number Symbols)[4](我就是在里面读到了松崎清——人称“神之手”——击败托马斯·伊恩·伍德二等兵及其电子计算器的故事)是个不错的参考资源。五进制和十进制的变体讲得相当详细。那个…
…The Russian Tchoty [3] does not divide the board, but rather uses 2 colors for beads. If you are interested in a ~comprehensive treatment of the history and types of ‘counting boards’, K. Menninger’s Number Words and Number Symbols [4] (where I read about Kiyoshi Matsuzaki aka “the Hands” beating Pvt. Thomas Ian Wood and his electronic calculator) is a good resource. quinary and decimal variants are addressed in fair detail. The…
…这种工具,但关于其本质或使用方式的确凿证据却出奇地少……如果你对计数系统这个广泛主题感兴趣,我推荐梅宁格的经典之作《数词与数字符号》(Number Words and Number Symbols)。或者你可以看看克里索马利斯(Chrisomalis)的另一本书《数字记号》(Numerical Notation)。或者伊夫拉(Ifrah)的《数字的通史》(The Universal History of Numbers)。如果你想了解中世纪欧洲的筹算板,可以去查查巴纳德(Barnard,1916)的《筹算器》(The Casting-Counter)…
…the device, but precise evidence on its nature or on the way it was used is remarkably scarce.... If you are interested in the general topic of number systems let me recommend Menninger’s classic book Number Words and Number Symbols. Or you could try Chrisomalis’s other book Numerical Notation. Or Ifrah, The Universal History of Numbers. If you want to know about medieval European counting boards, look up Barnard (1916) The Casting-Counter…
…洋娃娃想变成鹰,驴想变成狮子,猴子想当王后,零摆起了架子,装得自己像个有效数字一样。[0] http://logic.harvard.edu/koellner/QAU_reprint.pdf [1] 梅宁格,卡尔(1969),《数词与数字符号》(Number Words and Number Symbols)。马萨诸塞州剑桥:麻省理工学院出版社。
…doll wanted to be an eagle, the donkey a lion and the monkey a queen, the zero put on airs and pretended to be a digit. [0] http://logic.harvard.edu/koellner/QAU_reprint.pdf [1] Menninger, Karl (1969), Number Words and Number Symbols. Cambridge, Mass.: The M.I.T. Press.
…俄罗斯算盘 Tchoty [3] 并不划分算盘盘面,而是用两种颜色的珠子。如果你对“算盘/算筹板”的历史和种类这类大体全面的探讨感兴趣,K·梅宁格(K. Menninger)的《数词与数字符号》(Number Words and Number Symbols)[4](我就是在里面读到了松崎清——人称“神之手”——击败托马斯·伊恩·伍德二等兵及其电子计算器的故事)是个不错的参考资源。五进制和十进制的变体讲得相当详细。那个…
…The Russian Tchoty [3] does not divide the board, but rather uses 2 colors for beads. If you are interested in a ~comprehensive treatment of the history and types of ‘counting boards’, K. Menninger’s Number Words and Number Symbols [4] (where I read about Kiyoshi Matsuzaki aka “the Hands” beating Pvt. Thomas Ian Wood and his electronic calculator) is a good resource. quinary and decimal variants are addressed in fair detail. The…
…这种工具,但关于其本质或使用方式的确凿证据却出奇地少……如果你对计数系统这个广泛主题感兴趣,我推荐梅宁格的经典之作《数词与数字符号》(Number Words and Number Symbols)。或者你可以看看克里索马利斯(Chrisomalis)的另一本书《数字记号》(Numerical Notation)。或者伊夫拉(Ifrah)的《数字的通史》(The Universal History of Numbers)。如果你想了解中世纪欧洲的筹算板,可以去查查巴纳德(Barnard,1916)的《筹算器》(The Casting-Counter)…
…the device, but precise evidence on its nature or on the way it was used is remarkably scarce.... If you are interested in the general topic of number systems let me recommend Menninger’s classic book Number Words and Number Symbols. Or you could try Chrisomalis’s other book Numerical Notation. Or Ifrah, The Universal History of Numbers. If you want to know about medieval European counting boards, look up Barnard (1916) The Casting-Counter…
…洋娃娃想变成鹰,驴想变成狮子,猴子想当王后,零摆起了架子,装得自己像个有效数字一样。[0] http://logic.harvard.edu/koellner/QAU_reprint.pdf [1] 梅宁格,卡尔(1969),《数词与数字符号》(Number Words and Number Symbols)。马萨诸塞州剑桥:麻省理工学院出版社。
…doll wanted to be an eagle, the donkey a lion and the monkey a queen, the zero put on airs and pretended to be a digit. [0] http://logic.harvard.edu/koellner/QAU_reprint.pdf [1] Menninger, Karl (1969), Number Words and Number Symbols. Cambridge, Mass.: The M.I.T. Press.