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Being water and being H2O are one and the same identical property, the property identity in question being a posteriori, not a priori and certainly not analytic.
On this view, P* merely realizes P; it is not identical with P. Given its denial of property identity, this latter view seems less apt to a reductionist interpretation.
Second, proposition identity might be reduced to property identity in the manner of Myhill (1963) and Zalta (1983).
This is particularly obvious for those who think that reduction requires property identity, because supervenience is reflexive.
This sort of psychophysical property identity would seem to be blocked by the multiple realizability argument sketched earlier.
Of course, property identity claims are sometimes not a priori knowable; consider, for example, the fact that the property being water is identical with the property being H20.
Similar(42)
For her, genomics is an arena in which the aim of understanding human diseases vies with the aim of settling "disputes over property, identities, and resources".
Turning to the worry that the argument proves too much, this, like the argument from a posteriori property identities, raises large and vexed issues about conceptual analysis and its role in philosophy.
In other cases of empirically discovered property identities, such as that of heat and kinetic energy, there is a story to be told that explains the co-referential convergence, and it seems fair to expect the same in the psycho-physical case.
The developmental stage of formal operations is characterized by the following four properties: Identity (I), Negation (N), Reciprocal (R), and Commutative (identity of groups) (C).
Terminologically, non-qualitative properties exhibiting this kind of dependence are sometimes labeled "impure properties", "identity properties", or "haecceitistic properties", where "haecceity" is usually reserved properties like being Napoleon.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com