Argument from design

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Overview

Argument from design is any argument which states that a given thing is too complex, beautiful, etc. to have merely happened by chance, and that therefore it must have been deliberatedly designed by an intelligent entity. This type of argument is more formally known as teleological.

This reasoning is most commonly used to argue for the existence of God.

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Reference

Refutations

Fractal mappings are not consciously designed (unless you concede that mathematics was created by God); most of them arise from quite simple equations, and yet they are (literally) infinitely complex often quite beautiful.