What are numbers? What are concepts? Do they exist, or do we just act like they exist?

I'm joined by Dr. Jody Azzouni of Tufts University. He's a philosopher who has been arguing for nominalism for years - the idea that numbers and abstract objects don't exist at all. 

His position is a wonderful contrast to the previous interviews I've done on this topic, where the guests have been Platonists. My own views sit in-between nominalism and Platonism.

I think abstract objects exist, but they do not exist in a Platonic realm. They exist in our minds. When we stop thinking about them, they stop existing.

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