Eman Farooq 02360 Math Notes1 .docx

Eman Farooq 02360 Instructor: Yousuf Kerai Reading Notes Art of Math Manifold Mirrors

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Scale, points of locality and infinite regress (trying to prove one thing in order to prove another) are 3 important aspects in understanding geometry.

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Art is linked to geometry in primitive way.

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Context really matters when dealing with Scale and the same way shape matters in geometry.

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A mathematical proof, to put it in the simplest manner, is a deduction of some statement from some known true statements. Such a description immediately calls for a careful scrutiny.

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Euclid’s geometry is known to have postulates that help us in deriving more assumptions and conclusions.

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With the use of formal language in mathematics, there is a certain loss of abstraction. However, restrictions help with fostering more creativity.

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Moreover, Euclid’s geometry is known to be more intact with reality.

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In addition, his proofs are known to be a form of beauty due to his understanding of the relationship between all the shapes.

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Finally, Descartes talks about the naming of points on a line in order to understand their relationship and hence, help us derive conclusions.

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Towards the end, there are basic, concrete and universal concepts of geometry put forward. We may have always known them but never really studied them in depth.