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This paper the role of worldview factors in shaping a different picture of the world in the thoughts of Galileo and J. Kepler. Both scholars, acknowledging the high status of mathematics, differently assessed the opportunities it offers in exploring the world. The reason for this can be seen in the different assumptions of worldviews, despite the fact, that they claimed that nature should be examined independently of theological doctrines. The scholars not only created a specific image of the world, but also interpreted it in the relation to God. They both accepted the activity of God’s omnipotence in the world, but they understood it differently. This paper also refers to conception of theological voluntarism and intellectualism and their cognitive consequences mentioned in the literature. 
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