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Inverse View
It is not the case that Sense has neither a physical nor a mental existence, making it a distinct ontological dimension that cannot be straightforwardly demonstrated.
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Reasons For
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Reason for 1 of 2
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1.
Fregean Sinne are abstract objects with determinate identity conditions, making sense fully articulable within a third-realm ontology without paradox.
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2.
Frege's distinction between Sinn and Bedeutung demonstrates that sense can be rigorously individuated without positing an ineffable fourth dimension.
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Reason for 2 of 2
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1.
Wittgenstein's use-theory holds that meaning is exhausted by rule-governed linguistic practice, leaving no explanatory gap that a sui generis sense-dimension must fill.
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2.
If sense is neither demonstrable nor reducible to physical or mental facts, Ockham's razor demands we treat it as a pseudo-entity generated by misleading grammatical surface forms.
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Reasons Against
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Reason against
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1.
Attempts to make sense evident as a fourth dimension are analogous to Lewis Carroll's Hunt for the Snark or unraveling a Möbius strip.
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2.
Sense is not reducible to physical states of affairs nor to mental propositions.
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