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Inverse View
It is not the case that All relations in the objective spatio-temporal order can ultimately be known quantitatively.
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
Topological and ordinal relations (betweenness, continuity, connectedness) are irreducibly qualitative structural features of space-time.
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2.
Quantitative magnitude assignment presupposes these qualitative relations and cannot itself ground or replace them.
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Reason for 2 of 2
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1.
Husserl and Merleau-Ponty demonstrate that lived spatial orientation (up/down, near/far as felt proximity) resists exhaustive metric representation.
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2.
If some spatio-temporal relations are constitutively perspectival, no observer-independent quantitative specification can fully capture them.
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Reasons Against
1 perspective
Reason against
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1.
All such relations can be specified by a number of magnitudes
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2.
Specifying magnitudes reduces spatio-temporal relations to quantities
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