Does the mind occupy a space? So if emotions are similar to mathematical operacions, math like data would also have space that it occupies? That does not make much sense — Sir2u
Math is a human construct and can only "act" as mathematical functions through either our brains or the devices we have programmed to do it for us; calculators, computers and other artificial machines both of which are physical objects that occupy space. It in this sense is a quality or behaviour of physical things.
The concepts of "one, two, three, plus, minus, multiply etc" are all artificial and ultimately arbitrary- based on discrimination between things for example I could say 1 molecule of water, 1 ml of water, 1 ocean of water. The concept of one is repeated but the definition of the quantity of water is different because we are discriminating differently in each case. Maths is just a descriptive tool to understand the universe, and like language, symbols, ideas, data, emotions feelings etc they are symbolic of an information state or relationship between things that is always inextricably linked to our awareness/consciousness.
All information occupies space. It has to. We are getting caught up on "how" that space is occupied as in in what form - material or conceptual that this information (energy, matter, interactions) occupy the universe (space).
If math doesnt occupy a space in the mind regarding the symbolic meaning of the external world then it must occupy a space in the physical external world. If that is the case show me the external natural proof of "multiple" or "add" or "square root". You can prove any of them experimentally which means the space they occupy must be in the brain as patterns of neuronal connections and organisation. If not that then from what "non-location" in "non-space" is mathematics coming from?
Energy occupies space. Something does not have to have mass to occupy space. Just because a photon is massless doesnt mean it doesnt have a velocity, a location, a distance to travel- all of which denote location or "space".