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One of the very important details in the story that prove that it was Arachne's price that caused her downfall is when at the very start she did not recognize and acknowledge the Goddess of crafts and wisdom as the source of her excellent talent in spinning and weaving. She even come to the point of defying the Athena to have a contest with her in order for people to know who among them is better when it comes to the art of weaving. Not only is she being ungrateful, she was also being overconfident and impolite by challenging a God. 
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