Australia is home to the majority of the world’s restricted number systems, cultural systems of numbers that count no higher than twenty. Three of every four Australian languages count no higher than three or four. In the late nineteenth century, a few Australian number systems had terms up to one hundred. In these systems, numbers higher than four show signs of recent emergence in traits like analyzability (etymological transparency showing the use of the hands and feet for counting) and lacking names for numbers between the decades (the names of multiples of ten serving as building blocks for the interim numbers). An account from the memoir of William Buckley, an escaped convict who lived with the Wathaurung people for more than three decades, suggests that the lack of names for higher numbers was no barrier to using numerical information, as for example, in a tally of mud-stripes used to keep track of the days in a journey. Timekeeping by means of painting stripes on the body may represent a precursor to body-counting, and several Australian body-counting systems are known. The Gumatj of northern Australia have a quinary (base-5) system.

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Numbers in Australia

  • Karenleigh A. Overmann

摘要

Australia is home to the majority of the world’s restricted number systems, cultural systems of numbers that count no higher than twenty. Three of every four Australian languages count no higher than three or four. In the late nineteenth century, a few Australian number systems had terms up to one hundred. In these systems, numbers higher than four show signs of recent emergence in traits like analyzability (etymological transparency showing the use of the hands and feet for counting) and lacking names for numbers between the decades (the names of multiples of ten serving as building blocks for the interim numbers). An account from the memoir of William Buckley, an escaped convict who lived with the Wathaurung people for more than three decades, suggests that the lack of names for higher numbers was no barrier to using numerical information, as for example, in a tally of mud-stripes used to keep track of the days in a journey. Timekeeping by means of painting stripes on the body may represent a precursor to body-counting, and several Australian body-counting systems are known. The Gumatj of northern Australia have a quinary (base-5) system.