On the one hand, fields are real and modeled mathematically: — Mww
And on the other, fields are completely abstract and quantitatively incommensurable directly: — Mww
Yes. The intrinsic Either/Or aspect of our apparently dual "Reality" is what Einstein was talking about in his Theory of Relativity. What's real depends on who's looking. That's also why my personal worldview is based on a complementary Both/And perspective. For all practical purposes (science), what we perceive as concrete objects and physical effects is what is Real. But for theoretical purposes (philosophy), our perceptions of those objects are mental constructs. So discussions about Consciousness must make that distinction clear, or else, by reifying Consciousness, we run into the paradoxical "hard problem".
Like all mammals, the human species has evolved to trust their perceptions as reliable guides to survival in the "real" world. But, unlike other mammals, humans have also evolved a rational extension of perception (conception), which allows us to see aspects of the world that do not exist in space-time. For example, we can make survival decisions for now, based on past or future. We can build instruments to extend our natural perception into aspects of space-time that are otherwise invisible and intangible, hence unreal. We can create abstract concepts, such as Unicorns and Hobbits, and act as-if they are real.
Unfortunately, our cleverness leads us into seeing counter-intuitive and paradoxical "realities", such as quantum "wavicles". Thence, the question arises, "are they tangibly real, or merely useful ideas like mathematics?" For example, can we see or touch a magnetic field, or do we reify the field in order to explain otherwise inexplicable effects? Ancient people saw the effects of invisible Energy, and imagined invisible Spirits or Gods as the cause. Modern people see the effects of Magnetism on matter, and imagine a Force Field as the cause. Yet that field can be described, not in terms of material properties (redness, solidity, liquidity), but only of mathematical relationships (positive or negative).
The world that rational humans live in is
both concrete (real)
and abstract (ideal). Moreover, abstract ideas can have real effects, as in Memetics. So we have difficulty drawing a hard line between real & ideal. Which is why my worldview is
BothAnd, until it's necessary to draw a distinction, as in theories of Consciousness.
Memetics : Memetics describes how an idea can propagate successfully, but doesn't necessarily imply a concept is factual.
https://www.google.com/search?client=fi ... q=memetics
BothAnd Principle : Conceptually, the BothAnd principle is similar to Einstein's theory of Relativity, in that what you see ─ what’s true for you ─ depends on your perspective, and your frame of reference; for example, subjective or objective, religious or scientific, reductive or holistic, pragmatic or romantic, conservative or liberal, earthbound or cosmic. Ultimate or absolute reality (ideality) doesn't change, but your conception of reality does. Opposing views are not right or wrong, but more or less accurate for a particular purpose.
http://blog-glossary.enformationism.info/page10.html