Can τοῦ translate as "many a one" ?

Greek Learning Greek
1

Παρμενίδης: καὶ γὰρ οὗτος κατασκευάζων τὴν τοῦ παντὸς γένεσιν…
C.D.C. Reeve translates τοῦ as “universe,” but couldn’t it be literally translated “many a one” in this context?

LSJ points to this sense of meaning:

I.Indef. Pron. any one, any thing, some one, some thing; and as adj. any, some, and serving as the Indef. Art. a, an: in the latter case it agrees with its Subst., φίλος τις a friend, θεός τις a god, i. e. not a man; in the former it is followed by gen. pl., φίλων τις one of thy friends, θεῶν τις one of the gods.
II.special usages:
1.some one (of many), i. e. many a one, ὧδε δέ τις εἴπεσκεν so men said, Hom.
2.any one concerned, each one, Il.; τοὺς ξυμμάχους αὐτόν τινα κολάζειν that every man should himself chastise his own allies, Thuc.; ἄμεινόν τινος better than any others, Dem.:—this is more fully expressed by adding other pronominal words, τις ἕκαστος Od., etc.; πᾶς τις Hdt., etc.; οὐδείς or μηδείς τις Eur., Xen.

2

I’d say no. τοῦ here is clearly the genitive of τό, not of τις.

3

So then a more literal translation would be “the all” rather than universe? Universe, after all, is an early modern (post-17th century) concept that is anachronistic to Aristotle.

4

What does “literal” mean?

You might say that ἡ τοῦ παντὸς γένεσις is “the origin of the everything”

But I don’t know that universe is such a bad word. You would have to describe for me the precise elements of the 17th century concept of “universe” that are unprecedented.

5

From LSJ πᾶς

neut. sg., τὸ πᾶν the whole (V. B. II), περὶ τοῦ π. δρόμον θέειν Hdt. 8.74; πολλοῦ γε καὶ τοῦ π. ἐλλείπω A. Pr. 961; τοῦ π. ἡμαρτηκέναι Pl. Phdr. 235e; ἄξιοι τοῦ π. Id. Sph. 216c; τὸ πᾶν as Adv., completely, altogether, A. Supp. 781 (lyr.), S. El. 1009, Pl. Lg. 959a, etc. (but, for all that, nevertheless, A.D. Synt. 188.27): with neg., at all, οὐκ ἠξίωσαν οὐδὲ προσβλέψαι τὸ πᾶν A. Pr. 217, etc.; also πᾶν alone, Hdt. 1.32, etc.
in Philos., τὸ πᾶν the universe, Emp. 13, Pythag. ap. Arist. Cael. 268a11, Pl. Ti. 28c, 30b, etc.; including τὸ κενόν (opp. τὸ ὅλον), Placit. 2.1.7; also, Pythag. name for ten, Iamb. in Nic. p.118P., Theol.Ar. 59.