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Incan Mathematics: Balancing Social Roles and Spanish Algebra in Conquest

This research explores the contrasting mathematical concepts of the Incan civilization and Spanish colonizers. Incan mathematics emphasizes balance and harmony derived from social roles, where calculations serve to rectify imbalances in resources and relations. Conversely, Spanish mathematics introduced algebra focused on positive numbers and utilized concepts such as irrational numbers and infinity, reflecting a perspective associated with domination and maximization. This study, conducted by Molly Leonard in collaboration with Dr. Cheri Shakiban and Dr. Raul Marrero-Fente, highlights cultural differences in mathematical thought during the conquest.

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Incan Mathematics: Balancing Social Roles and Spanish Algebra in Conquest

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  1. Incan mathematics and numbers of conquest Research by: Molly Leonard In collaboration with: Dr. Cheri Shakiban Dr. Raul Marrero-Fente

  2. Incan Math Basics • Numbers are conceptualized in terms of social- especially family and kinship- roles and relations • Desired state is that all resources, labor, behavior, relations, and attitudes are in a state of balance, equilibrium, and harmony. Mathematical calculations are only performed in order to “rectify” the imbalance.

  3. Spanish Math Basics • Al Yabr (Algebra), wasintroducedwiththetendencytoonlyworkwith positive numbers • 6x2 – 36x + 60 = 2x2 – 12 • 6x2 + 60 + 12 = 2x2 + 36x • The use of irrationalnumbers and infinityprovidedthebasisformaximization • Numbers were directly connected with the notion of domination

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