But recall that c is the unique object falling under P which bears R to d.
But now e=d, for d is the unique object falling under Q to which c bears R.
The denotation of \(a\) in \(M^\) is the unique object that satisfies \ \psi(x)\) in \(M\); the conditions on \ \psi(x)\) ensure that such an object exists.
It's not only the unique object that we call folk art".
Since we now know that Pf and Rfd, we know that f=c, since c is, by definition, the unique object falling under P which bears R to d.
Since we now know that Qe and Rce, we know that e=d, since d is, by definition, the unique object falling under Q to which c bears R. To show R′cd, we need to establish: (c≠a & d≠b & Rcd) ∨ (c=ιu(Pu&Rub) & d=ιu(Qu&Rau)) But the conjuncts of the right disjunct are true (by definition and by assumption, respectively).
"Perhaps the idea of the unique object is becoming obsolete, just as software programs that are only used online rather than owned, are slowly replacing physical software packages that one owns.
Given this view, it is natural to then hold that names have the same meanings as definite descriptions phrases of the form 'the so-and-so.' After all, phrases of this sort seem to be designed to pick out the unique object, if any, which satisfies the condition following the 'the.' (For more discussion, see descriptions).
Some of the most popular questions that reoccur annually are: what's it like to be a curator, how do you decide what to display, and what is the most unique object in your collection?
These junctions are the unique "signature" of the tracked object.
