in reply to
When I count, I think of numbers as...
I think scalars or words would be most accurate for me. In my opinion, language is the basis for constructing reality and any word is a symbol for some unique property or aspect of the universe. Numbers work mostly the same for me. We assign a word based on our language to the number. That word serves as my brain's reference to that number and symbolizes an amount or a status.
"Call on God, but row away from the rocks."
--Hunter S. Thompson.