Hi. What does of a number mean here?¹Russell's own formal implementation of the Theory of Descriptions suggests a significant gap between surface syntax and logical form. But upon reflection it is clear the gap has little to do with descriptions per se. In order to characterize the logical forms of quantified sentences "every" or "FisGsome" in standard first-order logic we have to use formulae containing sentence connectives, no counterparts of which occur in the surface forms of the sentences. And when we turn to a sentence like "justFisGtwoFs areG", we have to use many more expressions that do not have counterparts in surface syntax, as well as repetitionsof a numberthat do [have counterparts in surface syntax]:(31) ∃x ∃y ((x≠y • Fx • Fy • Gx • Gy) • ∀z ((Fz • Gz) ⊃ (z=x V z=y))).

(Neale, Facing Facts, p108-9)

(a) we have to use a number of repetitions (i.e, many repetitions)

(b) we have to use repetitions of that number in blue.

(c) we have to use as many repetitions as 2

(d) ?

Thanks a lot! (b) we have to use repetitions of that number in blue.

(c) we have to use as many repetitions as 2

(d) ?

¹The formula (31) means "just two Fools are Goo", in contrast to a much simpler formula, ∃x(∀y(Fy ≡ y=x) • Gx), which means "the Fool is Goo".