Correction to: On atomic composition as identity

The Original Article was published on 26 June 2019

Correction to: Synthese https://doi.org/10.1007/s11229-019-02295-6

(PWCP) and (ACP) in Sect. 5 should be reformulated as follows:

(PWCP):

\(\exists x\exists y\left( {\phi x \wedge \phi y \wedge x \ne y} \right) \to \exists Y\exists z\left( {zSFu\phi \wedge \forall x\left( {x \prec Y \leftrightarrow x < z} \right)} \right)\)

(ACP):

\(\exists x\exists y\left( {\phi x \wedge \phi y \wedge x \ne y} \right) \to \exists Y\exists z\left( {zSFu\phi \wedge \forall x\left( {x \prec Y \leftrightarrow (x < z \wedge Ax} \right)} \right)\)

As an effect of this, throughout the paper, the theories labelled ‘CAI+(PWCP)’ and ‘ACAI’ should be understood as assuming the following ‘No Improper Plurality’ principle:
(NIP):

\(\forall X\exists y\exists z\left( {y \prec X \wedge z \prec X \wedge y \ne z} \right)\)

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Correspondence to Roberto Loss.

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Loss, R. Correction to: On atomic composition as identity. Synthese (2020). https://doi.org/10.1007/s11229-020-02617-z

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