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The course explores the relation between fractions and other number systems, emphasizing the distinction between counting and measuring in mathematics. The goal is to provide an understanding of abstract number systems and their connections with natural numbers, integers, and complex numbers. The course challenges conventional notions about real numbers and is suitable for high school teachers and undergraduates interested in foundational mathematical concepts. The teaching method involves lectures that discuss the positioning of rational numbers within various number systems, including geometrical numbers derived from measuring.
