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It is not the case that The precepts Reichenbach called 'synthetic apriori' are what Schlick identified as 'conventions', and the differences are at most terminological.
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
Reichenbach's synthetic apriori principles carry constitutive epistemic necessity, making experience possible, not merely organizing it efficiently.
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2.
Schlick's conventions are chosen by pragmatic criteria of simplicity and convenience, lacking the transcendental constitutive function Reichenbach assigns to coordinative principles.
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3.
A principle that makes empirical knowledge possible cannot be equivalent to one that merely streamlines its expression, since their modal statuses differ fundamentally.
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Reason for 2 of 2
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1.
Reichenbach explicitly distinguished his relativized apriori from conventions in 'Relativitätstheorie und Erkenntnis Apriori' by insisting coordinative definitions are revisable but not arbitrary.
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2.
Conventions in Poincaré's and Schlick's sense are underdetermined by any empirical fact, whereas Reichenbach's principles are constrained by the physical theory they constitute, making them partially answerable to experience.
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Reasons Against
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Reason against
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1.
The principles Reichenbach identified as synthetic apriori constitute an observation or measurement of an experience.
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2.
Schlick was unable to discover any characteristics of these alleged synthetic apriori principles that genuinely distinguish them from conventions.
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