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    Mathematical structures like complex numbers and Hilbert ... — Carmelics
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    Challenges→Our conceptions of forces and hidden elements are limited to the sensible.

    Mathematical structures like complex numbers and Hilbert spaces ground physical conceptions without any direct sensory correlate.

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    Reasons For

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    • 1.Quantum mechanics makes identical empirical predictions using Hilbert spaces yet fails without them, suggesting they capture real structure.
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    • 2.Mathematical structures often predict phenomena before observation (like antimatter), indicating they access reality beyond sensory access.
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    • 3.No sensory experience directly accesses electromagnetic fields or spacetime curvature, yet these require abstract mathematics to describe.
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    Reasons Against

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    • 1.All mathematical structures ultimately arise from cognitive patterns built on sensory abstraction, making the distinction illusory.
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    • 2.Success of mathematics in physics may reflect our choice of useful description rather than discovery of mind-independent grounding structures.
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    • 3.Instrumentalism explains physics predictively without claiming abstract structures ground physical reality independently of human interpretation.
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    Consciousness & Mind1 linkedPerception1 linked

    Related

    All mathematical structures ultimately arise from cognitive patterns built on se...Instrumentalism explains physics predictively without claiming abstract structur...Mathematical structures often predict phenomena before observation (like antimat...No sensory experience directly accesses electromagnetic fields or spacetime curv...
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    Our conceptions of forces and hidden elements are limited to the sensible.Quantum mechanics makes identical empirical predictions using Hilbert spaces yet...Success of mathematics in physics may reflect our choice of useful description r...

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    claim
    Perspectives
    2 (1 for, 1 against)
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