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To give a bit of my background, I am a junior double majoring in mathematics and philosophy aiming for a Ph.D. in pure mathematics. Recently, I wrote a paper for a philosophy class that was extremely well-received by my professor, so much that he encouraged me to submit it for possible publication in a professional philosophy journal. In short, my paper critiques an interpretation of Descartes's Meditations by a prominent philosopher made several years back. My work is an analytic (as opposed to continental) philosophy paper, meaning that it involves the application of formal logic. (For example, an argument made by the philosopher I critiqued requires a certain biconditional statement, but I argued that he did not have sufficient evidence to support one of the conditionals.) However, the subject matter of the paper is largely irrelevant to mathematics, my intended field of study in graduate school.
So, my question is: would having a paper published in a professional journal yet unrelated to mathematics be of nontrivial benefit to my chances of admission to a Ph.D. program in pure mathematics?
So, my question is: would having a paper published in a professional journal yet unrelated to mathematics be of nontrivial benefit to my chances of admission to a Ph.D. program in pure mathematics?