The paper analyses the development of the power of abstraction as illustrated by the evolution of counting in the ancient Near East. Tokens indicate that counting was first done concretely in one-to-one correspondence. The clay tokens, that appeared in the Near East about 7500 BC, abstracted the goods they represented. For example a cone abstracted a measure of grain. About 3300 BC, when tokens were kept in envelopes, markings on envelopes abstracted the tokens held inside. Abstract numbers are the culmination of the process, following the invention of writing
The history of Chinese writing extends back more than 6000 years and the Chinese writing system rema...
What are numbers, and where do they come from? A novel answer to these timeless questions is propose...
Numeracy and writing constitute different phenomena, whose paths of formation often appear intertwin...
ABSTRACT. The development of civilization – the stage of cultural development at which writing is at...
‘Ain Ghazal is a Neolithic site located near Amman, Jordan. It was excavated between 1982 and 1998 b...
In her foundational study of Neolithic clay tokens, the renowned archaeologist Denise Schmandt-Besse...
The study of clay tokens in the Ancient Near East has focused, for the most part, on their role as a...
The origin of mathematics traces back since ancient period on the phenomenon of counting. For such c...
The characterization of early token-based accounting using a concrete concept of number, later numer...
This inquiry seeks to understand how the original form of writing in Mesopotamia—the small pictures ...
The recording of numbers appears to pre-date the emergence of writing and excavations of the clay ta...
We note the varying levels of abstraction in the history of quantification, counting, and mathematic...
Using the Material Engagement Theory of Cognitive Archaeologist Lambros Malafouris as its framework,...
In her foundational study of Neolithic clay tokens, the renowned archaeologist Denise Schmandt-Besse...
Recent archeological research offers revolutionary insight about the precursor of abstract counting ...
The history of Chinese writing extends back more than 6000 years and the Chinese writing system rema...
What are numbers, and where do they come from? A novel answer to these timeless questions is propose...
Numeracy and writing constitute different phenomena, whose paths of formation often appear intertwin...
ABSTRACT. The development of civilization – the stage of cultural development at which writing is at...
‘Ain Ghazal is a Neolithic site located near Amman, Jordan. It was excavated between 1982 and 1998 b...
In her foundational study of Neolithic clay tokens, the renowned archaeologist Denise Schmandt-Besse...
The study of clay tokens in the Ancient Near East has focused, for the most part, on their role as a...
The origin of mathematics traces back since ancient period on the phenomenon of counting. For such c...
The characterization of early token-based accounting using a concrete concept of number, later numer...
This inquiry seeks to understand how the original form of writing in Mesopotamia—the small pictures ...
The recording of numbers appears to pre-date the emergence of writing and excavations of the clay ta...
We note the varying levels of abstraction in the history of quantification, counting, and mathematic...
Using the Material Engagement Theory of Cognitive Archaeologist Lambros Malafouris as its framework,...
In her foundational study of Neolithic clay tokens, the renowned archaeologist Denise Schmandt-Besse...
Recent archeological research offers revolutionary insight about the precursor of abstract counting ...
The history of Chinese writing extends back more than 6000 years and the Chinese writing system rema...
What are numbers, and where do they come from? A novel answer to these timeless questions is propose...
Numeracy and writing constitute different phenomena, whose paths of formation often appear intertwin...