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Mathematics, as much as music or any other art, is one of the means by which we rise to a complete self-consciousness. The significance of mathematics resides precisely in the fact that it is an art; by informing us of the nature of our own minds it informs us of much that depends on our minds.
—  John William Navin Sullivan
To be willing to suffer in order to create is one thing; to realize that one's creation necessitates one's suffering, that suffering is one of the greatest of God's gifts, is almost to reach a mystical solution to the problem of evil.
—  John William Navin Sullivan
The mathematician is entirely free, within the limits of his imagination, to construct what worlds he pleases. What he is to imagine is a matter for his own caprice; he is not thereby discovering the fundamental principles of the universe nor becoming acquainted with the ideas of God. If he can find, in experience, sets of entities which obey the same logical scheme as his mathematical entities, then he has applied his mathematics to the external world; he has created a branch of science.
—  John William Navin Sullivan

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