Difference between revisions of "Bell 1999 Springer"
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::::*p 1: Numbers are assigned to collections by means of the process of ''counting'', that is, the procedure of matching the elements of a collection successively with the ascending sequence of numbers, or number names. The recognition that the procedure of counting "one, two, three, four, ..." can be performed ''intransitively'', in other words, that when counting it is not necessary to be actually counting ''something'', is likely to have been instrumental in establishing the universality of the number concept. Indeed, it has been suggested that the art of counting arose in connection with primitive religious ritual and that the counting or ''ordinal'' aspect of number preceeded the emergence of the quantitative or ''cardinal'' aspect. | |||
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Revision as of 13:07, 21 March 2021
| Bell John L (1999) The art of the intelligible. An elementary survey of mathematics in its conceptual development. Springer Science+Business Media Dordrecht:249 pp. |
Bell John L (1999) Springer
Abstract:
• Bioblast editor: Gnaiger E
Selected quotes
- p 1: Numbers are assigned to collections by means of the process of counting, that is, the procedure of matching the elements of a collection successively with the ascending sequence of numbers, or number names. The recognition that the procedure of counting "one, two, three, four, ..." can be performed intransitively, in other words, that when counting it is not necessary to be actually counting something, is likely to have been instrumental in establishing the universality of the number concept. Indeed, it has been suggested that the art of counting arose in connection with primitive religious ritual and that the counting or ordinal aspect of number preceeded the emergence of the quantitative or cardinal aspect.
Labels:
Number, X-mass Carol
