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    The distinction between 'purely formal' and 'physically s... — Carmelics
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    Challenges→A purely formal analogy with no physical significance cannot support a plausible analogical inference in physics.

    The distinction between 'purely formal' and 'physically significant' analogy may be epistemic rather than ontological, reflecting current ignorance rather than absence of physical basis.

    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.History shows distinctions once thought fundamental (caloric, phlogiston) were later revealed as epistemic artifacts masking deeper physics.
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    • 2.Current inability to derive one mathematical structure from another doesn't prove no physical mechanism connects them—only current ignorance.
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    • 3.If analogy's predictive power exceeds what formalism alone permits, this suggests hidden physical relationships we haven't yet formalized.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Some formal analogies (between incompatible topologies) persist regardless of physics advancement, suggesting formalism genuinely differs from physical.
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    • 2.Treating ignorance as undiscovered physics risks unfalsifiability: any failed prediction becomes 'we just haven't found the connection yet.'
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    • 3.Ockham's razor favors accepting formal/physical distinctions as real rather than positing hidden bases for every mathematical parallel.
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    Key Terms

    Formal (in logic/mathematics)(formal systems versus intuitive understanding)
    Something written in precise, symbolic notation following strict logical rules, like mathematical equations—the opposite of casual or everyday language.
    Ontology(Carnap argues this enterprise is based on a mistake)
    The philosophical discipline that tries to answer hard questions about what there really is.
    Physically significant(in physics philosophy)
    Something that actually matters to how the physical world works, not just a mathematical trick or coincidence.
    analogy(Contrasted with homology, which concerns correspondence due to common ancestry.)
    A relation based on functional similarity between structures, which can occur despite different evolutionary origins.
    epistemology(Contrasted with purely descriptive scientific inquiry)
    A normative enterprise that tells us how we ought to reason from evidence and how we ought to justify our beliefs, as distinct from merely describing how we do reason or justify beliefs

    Connections

    2 topics

    Truth & Knowledge1 linkedSkepticism1 linked

    Related

    A purely formal analogy with no physical significance cannot support a plausible...Current inability to derive one mathematical structure from another doesn't prov...History shows distinctions once thought fundamental (caloric, phlogiston) were l...If analogy's predictive power exceeds what formalism alone permits, this suggest...
    +3 moreShow less
    Ockham's razor favors accepting formal/physical distinctions as real rather than...Some formal analogies (between incompatible topologies) persist regardless of ph...

    Details

    Type
    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit
    Treating ignorance as undiscovered physics risks unfalsifiability: any failed pr...