We keep away from asterisks through picking out terminology and therefore the items referrede to because the similar numbers. there is not any distinction within the ensuing theorems or within the software of the math if we are saying both that we have got outfitted a set-theoretical superstructure round the real numbers or we are saying that we've got a set-theoretical superstructure in which a suite of gadgets just like numbers with admire to 146 NUMBERS, HALLUCINATIONS, AND FICTIONS definite in their houses (the number-theoretical ones) were discovered. both means of deducing theorems, or of employing empirically the ensuing superstructure yields exact effects. sixty eight Returning to the case of external-fiction discourse, it’s transparent that during many respects the permitting of an identical fictional items to be depicted in additional than one fictional paintings is the same to the identity of mathematical gadgets throughout mathematical platforms that’s simply been defined. specifically, the truth that there's multiple manner that individuals, in perform, do it, is risk free with admire to the exterior discourse call for. Fiction-externally describing characters depicted in diverse works because the similar personality or describing them as diversified characters which are doppelgängers transtextually pretended to be a similar personality, certainly not impacts the historic or sociological generalizations that stick with from or are proven (or disconfirmed) through statements presupposing such characterizations. What’s the most important to the external-discourse call for, because it applies to fictionexternal statements, is the tracing of the affects on and sociological results of literary characters and utilizing statements approximately them in flip as facts for sociological and old evidence. yet those makes use of are insensitive as to whether the Sherlock Holmes of the Conan Doyle tales is identical personality because the Sherlock Holmes of such and such movies or no matter if those are as a substitute simply doppelgängers, a couple of special characters, the place one is depicted because the comparable because the different. particularly, as a result, it has no adverse impression if we occasionally communicate of Sherlock Holmes as depicted in a single tale or as in one other because the similar characters or as a couple of doppelgängers. sixty nine Let’s flip, eventually, to a topic that Thomasson (1999, 79–80) thinks that those that are looking to deny that fictional items exist can't deal with. this can be the query of the way someone’s thoughts—involving really diverse content—are however to be taken to be suggestions of an identical fictional item. i'm contemplating King Lear, let’s say. Let’s additionally say that I (on a distinct get together) reflect on the daddy of Cordelia. How—if there aren't any fictional objects—is it to be made experience of that my considered King Lear is to be a considered “the related item” as my considered the daddy of Cordelia? One normal technique is to try the identifications at the foundation of an identical thought-content taking place in either suggestions. Thomasson (1999, 79–80) writes—raising an objection to “the content material idea” just like one raised via Evans (1982, e.