Math376newpost[1] - MATH/PHILO 376 Texts Philosophy of...

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MATH/PHILO 376 Philosophy of Mathematics 3 hours 3 credits Texts: Coursepack prepared especially for this course for this semester Ernest Nagel and James R. Newman, Gödel's Proof Revised Edition, (New York and London: New York University Press, 2001) Bertrand Russell, Introduction to Mathematical Philosophy (New York, Dover Publications, Inc., 1993; reprint of 1919 original) To order the Coursepack , visit www.UniversityReaders.com. Click on “Students Buy Now” and follow the prompts. Doing so will not only let you order a hardcopy of the coursepack but to download a PDF file of the first 20% of the contents. Be sure to be able to save the download and have access to Adobe Acrobat or Adobe Reader software. For an overview of the order process, go to www.UniversityReaders.com/demo. Course Content Goals : The core philosophical question for this course is whether mathematical truths are invented or discovered. That question divides into two further questions: What sort of knowledge is mathematical knowledge? What sort of objects are mathematical objects? We may identify two major positions on these issues. Realists hold that mathematical objects exist independently of human beings, that we may discover truths about them as we may discover truths about the objects in the physical world, and that we have particular cognitive capacities to make these discoveries. Constructivists hold that mathematical objects are
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