Soul

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So all our thoughts except for numbers are material? So our mind can logically say sentences that are material, experience pleasure, peace, mind, happiness, decide things, do decisions and remember events....and have a concept of oneself and all of this being material, but just mathematics is non-material? You don't find there is something wrong with that? There is nothing non-material the soul experiences but numbers?

We're using "thoughts" in two senses now. We have the processing that includes the soul and the processing that doesn't. The physical processing will do most of the work, but some of the analysis is not (quantity, quality, and relation). If I'm shown a blue triangle, there are no activities of the soul for me to know its a blue triangle. If I'm shown multiple blue triangles and asked to count them, my soul has to process the quantity.

Okay, let's take it as given that mathematical expressions represent real entities. What is your next step?

I don't know if you mean the same thing I do, or you're completely missing the mark =) If you mean mathematical expressions (numbers/quantity) represents (are truly within) real entities, we're cool, and my next step is to explain that since we perceive immaterial things, we have an immaterial organ (soul). Then I'm done. That really is all this proof does. It might be able to do more, but I haven't thought about it.

If you you mean that mathematical expressions (numbers/quantity) represent (act like but are not) real entities, my next step is to describe the proof again. Its not that the numbers are immaterial substances, but these immaterial things are "accidents" (Aristotle's terminology) to substances. Quantity is not material and cannot be sensed with a physical organ, hence the conclusion being that animals, knowing quantity, have souls.

Exactly, assume God exists, assume everything about numbers you believe, it being non-material, assume soul exists....just show how skeptics would come to know this is true as opposed to materialism.

If the only options were materialism and my belief, I think I undid materialism in my first post. Quantity isn't material. If I have to undo skepticism, I don't think I can manage that. We'll end up with solipsism and me just being a figment of your imagination.