This talk will introduce ontological questions related to mathematics. After surveying the views of Plato and Artistotle, other possible philosophical perspectives will be considered including realism, nominalism, conceptualism, and empiricism with their relative strengths and weaknesses. The discussion will conclude with a possible biblical foundation for mathematical ontology.
Lestmann, Phillip E., "Are Mathematical Entities Real?" (2009). ACMS Conference Proceedings 2009. 16.
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