Found 5 Hypotheses across 1 Pages (0.001 seconds)
  1. "Additive systems do not develop from positional ancestors" (p. 46)Chrisomalis, Stephen - A Cognitive Typology for Numerical Notation, 2004 - 0 Variables

    In this article, the author suggests a new topology of numerical notation systems. This new typology organizes each system by two axes. The first of these axes is cumulative versus ciphered versus multiplicative and the other is additive versus positional. The author goes on to argue that, considering the intelligibility of number systems even in the absence of knowledge about their associated language, human number systems are a reflection of cognitive processes. Finally, the author uses this new typology to build a theoretical model of numerical system evolution over time. The article concludes with suggestions for utilizing this typology in future cross-cultural research.

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  2. "Cumulative systems do not develop from non-cumulative ancestors" (p. 46)Chrisomalis, Stephen - A Cognitive Typology for Numerical Notation, 2004 - 0 Variables

    In this article, the author suggests a new topology of numerical notation systems. This new typology organizes each system by two axes. The first of these axes is cumulative versus ciphered versus multiplicative and the other is additive versus positional. The author goes on to argue that, considering the intelligibility of number systems even in the absence of knowledge about their associated language, human number systems are a reflection of cognitive processes. Finally, the author uses this new typology to build a theoretical model of numerical system evolution over time. The article concludes with suggestions for utilizing this typology in future cross-cultural research.

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  3. Over time there is an increase in non-cumulative over cumulative systems and of positional over non-positional systems (p. 47)Chrisomalis, Stephen - A Cognitive Typology for Numerical Notation, 2004 - 0 Variables

    In this article, the author suggests a new topology of numerical notation systems. This new typology organizes each system by two axes. The first of these axes is cumulative versus ciphered versus multiplicative and the other is additive versus positional. The author goes on to argue that, considering the intelligibility of number systems even in the absence of knowledge about their associated language, human number systems are a reflection of cognitive processes. Finally, the author uses this new typology to build a theoretical model of numerical system evolution over time. The article concludes with suggestions for utilizing this typology in future cross-cultural research.

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  4. "Positional systems are not replaced by additive systems" (p. 47)Chrisomalis, Stephen - A Cognitive Typology for Numerical Notation, 2004 - 0 Variables

    In this article, the author suggests a new topology of numerical notation systems. This new typology organizes each system by two axes. The first of these axes is cumulative versus ciphered versus multiplicative and the other is additive versus positional. The author goes on to argue that, considering the intelligibility of number systems even in the absence of knowledge about their associated language, human number systems are a reflection of cognitive processes. Finally, the author uses this new typology to build a theoretical model of numerical system evolution over time. The article concludes with suggestions for utilizing this typology in future cross-cultural research.

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  5. "Non-cumulative systems are not replaced by cumulative systems" (p. 48)Chrisomalis, Stephen - A Cognitive Typology for Numerical Notation, 2004 - 0 Variables

    In this article, the author suggests a new topology of numerical notation systems. This new typology organizes each system by two axes. The first of these axes is cumulative versus ciphered versus multiplicative and the other is additive versus positional. The author goes on to argue that, considering the intelligibility of number systems even in the absence of knowledge about their associated language, human number systems are a reflection of cognitive processes. Finally, the author uses this new typology to build a theoretical model of numerical system evolution over time. The article concludes with suggestions for utilizing this typology in future cross-cultural research.

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