Introduction to Sanjoy Nath's Geometrifying Trigonometry Fundamental Philosophy: Sanjoy Nath's Geometrifying Trigonometry introduces a profound shift in the way we understand division and arithmetic operations. Traditionally, division is seen as a simple numerical operation. However, in this new paradigm, division is reconceptualized: the denominator is viewed as an input object, and the numerator as an output object. This shift represents a significant epistemological change in the reasoning processes of mathematics. Epistemological Shift: This new philosophy posits that any denominator, whether abstract or concrete, functions as an input object, while the numerator serves as the output object. Additionally, arithmetic operations are no longer seen as producing a single output. Instead, each operation can generate multiple outputs, including a primary output and secondary, or complementary, outputs. This reflects a natural phenomenon where processes that occur sequentially a...
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