1. is quantity a physical property? (do physical objects naturally exist in various quantities?)

  2. are quantitative relationships absolute? (that is, for any class of physical object, if you put a quantity that we call 2 with a quantity we call 3, will it always result in a quantity we call 5 ..?)

  3. what’s the connection between number systems and quantity? (how come number systems match up precisely with quantity and quantitative relationships?)

1. Yes.

2. Yes.

3. Number systems are fundamentally based on principles of quantity, which a)explains why they’re so useful for measuring and describing the physical universe and b)explains the “strange”, deeper connections between number theory and physics such as those documented here:

http://empslocal.ex.ac.uk/people/staff/mrwatkin/zeta/physics.htm

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