What is the Philosophical presupposition(s) of Fractal Geometry?

Fractal geometry, developed by mathematician Benoit Mandelbrot, explores the intricate patterns and structures found in complex and irregular shapes. This mathematical theory has philosophical presuppositions that shape its understanding and implications. Some of these philosophical presuppositions include:

1. Self-Similarity and Universality: Fractal geometry presupposes that self-similarity is a prevalent property in the natural world. This idea challenges traditional Euclidean geometry's assumption of perfect geometric shapes and introduces the concept that patterns can repeat on various scales. This perspective reflects a more organic and nuanced understanding of reality.

2. Non-Linearity and Complexity: Fractals ___ _____ ____ _______ ______ _________ _________ _________ _______ __________ ___.
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