Intimations of Infinity: The Cultural Meanings of the Iqwaye Counting and Number Systems
This is a remarkable work which captures the reader's imagination as only few books do. From a description of the counting system of Iqwaye people of Papua New Guinea, the author develops a deeper and broader interpretation of the Iqwaye kinship system and cosmology, culminating in a powerful critique of western assumptions about the development of rational thought.
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The Authentic Constitution of the Numerical Series
The Counting System in the Light of the Iqwaye View
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AA'MNYE AA'MNYE INEUMONI abstract aleph null articulated Austronesian languages binary birth-order suffixes body brideprice Brouwer Cantor Cassirer cognitive concept of number concrete consciousness constituted construction cosmic cosmogonic cosmological cosmos deictic digits dyad elements equivalent exchange expression female fingers and toes five formal genitor grasp Hallpike human HUWLAQU HWOLYE KAPLAQU hwolyembu HYELAQA HYELAQAPU HYULE HWOLYE ibid identity immanent infinite sets infinity interpretation intuition Iqwaye counting system Iqwaye culture Iqwaye numerical Iqwaye system Iqwaye view legs and hands Leibniz lexeme life-world lingual logical male marriage mathematics meaning-structure meanings mode morpheme mud-men multiplicity mythic icon mythopoeia mythopoeic notion numerical series Omalyce Omalyce's ontological operation original Papua New Guinea person Piaget primordial reality relation rope schema self-creation sense seriation sets of 20 sexual shells social sociocentric specific structure symbolic that-all theory things tion Tok Pisin totalised transfinite transfinite numbers two-ity two-one understanding UNGWONANGI unity Western whereby whole Yagwoia
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