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| 1. J. Van Heijenoort,
'Set-Theoretic Semantics,' in Selected Papers, 1976, 2. The logical technique
for obtaining such objects is well-known. First, an object, say an
apple, is separated from its color, so becoming an x such that red(x).
Divested in turn of its other attributes--its shape, feel, taste, kind,...,
etc.--the apple emerges as an x such that red(x) and round(x) and soft(x)
and sweet(x) and (fruit)x ... etc. (Francis Pelletier, Review of E.J. Lowe's
Kinds
of Being, History and Philosophy of Logic 13, 1992, 3. By 'singular term', I mean any nominal referring expression which purports to pick out a particular, the category of particulars being broadly construed so as to include things, processes and events. Singular terms include proper names ('Scott', 'Vulcan', 'the Palmdale Bulge'), definite descriptions ('the author of Waverley', 'the largest prime number', 'the round square'), and singular possessive phrases ('Euclid's fifth axiom', 'Smith's hangover', 'Yugoslavia's tragedy'). 4. According to the Indiscernibility
of Identicals, if x and y are identical, every property 5. There is no general agreement concerning what the intension of a singular term might be. The distinction between intension and extension, however, is often taken to reflect Frege's distinction between the particular a singular term stands for and the conceptual content it expresses. 6. For my 'singular terms'/'term', read Donnellan's 'proper names'/'name'. 7. With the exception of Nathan Salmon. 8. Indeed, when questioned about identity or difference, they would but give forth with a surly "Yea, Yea" or "Nay, Nay". 9. P. Butchvarov, 'Identity,'
in Peter A. French et. al. (eds.), Contemporary Studies in the Philosophy
of Language, U. of Minnesota Press, Minneapolis, 1979, 10. 'In an essential way, things are identical in the same way as they are one, since they are identical when their matter is one (in species or in number), or when their substance is one.' 11. Render 'X and Y are one in substance just in case for some Z, X and Y are parts of Z' as: (i)Now (ii) follows from (i) by Universal Instantiation: (ii)But (ii) is logically equivalent to (iii). (iii)Therefore, if X and Y are one in substance just in case for some Z, X and Y are parts of Z, then Y and Y are one in substance just in case for some Z, Y is a part of Z. 12. [...] identity is in any event a oneness, whether this oneness makes reference to a plurality of things, or whether it makes reference to a single thing considered as two, as happens when it is said that the thing is identical to itself. 13. How can 'Hesperus = Phosphorus' and 'Hesperus = Hesperus' differ in meaning, even though Hesperus and Phosphorus are one and the same? These sentences (call them S1 and S2) differ in meaning because there is nothing they both mean. In other words, both (1) and (2) are false although (3) is true. (1) means(S1, <H, =, H>) & means(S2, <H, =, H>)But, it will be objected, But the substitutivity of identicals can no more legitimately be invoked
to license the slide from (3) to (2) or (1) than it can be legitimately
invoked to license the slide from (e.g.) 14. 'Desideria:
The Voice explained to me that the barbarians, being pagans or else forming
part of some heretical sect, did not hesitate to desecrate churches or
other places dedicated to religious observance. According to the
Voice, this way of acting on the part of the barbarians could be described
as desecratory precisely because the places that they desecrated were sacred.
But what did it really mean--desecratory? It meant that the barbarians
with their devastations did not so much destroy churches as despoil them,
once and for all, of their sacred character. Before the desecration,
the church was a place which one entered bareheaded, in a state of reverence,
walking slowly and speaking in a low voice; after the desecration it was
nothing more than a warehouse, a big shed, in fact a structure possibly
intact but devoid of any sacred character.' (A. Moravia, Time of Desecration,
Playboy Paperbacks, 1981, p. 110)
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