 It is natural to call \(\atoi\) a definite description operator in contexts where \(\atoi\bx_{\alpha}\bA_{{o}}\) means “the \(\bx_{\alpha}\) such that \(\bA_{{o}}\)”, and to call it an indefinite description operator in contexts where \(\atoi\bx_{\alpha}\bA_{{o}}\) means “an \(\bx_{\alpha}\) such that \(\bA_{{o}}\)”.