Monism and Democritus Leucippus

Reading these in relation to monas i conclude that monism underwent much development from the notion of just one, solitary thing to a distributed property/attribute of elements, picked up and utilised by Euclid in his Book on Arithmoi,
Pythagoras notion of monad was more general than those of pilosophers who followed until Democritus. Euclid benefits from Pythagoras and Democritus in his notion of monas,avoking Harmonia and artois as well as Kairos and perissos.

This gives a better apprehension of kath'een exaston toon hontoon.

Descartes, Leibniz, Spinoza are a rerun of the greek pre socratic philosophers but Leibniz is the neares to Democritus but combines Parmenides eleatic notions

far, remote;

(Show lexicon entry in LSJ Middle Liddell Slater Autenrieth) (search) ἑκάς adv attic indeclform

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ἑκάς , Adv.
A. afar, far off, Il.20.422, etc.; “οὐχ ἑκάς που” S.Ph.41 ; rare in Prose, Th.1.69,80 (and later, Nic.Dam.p.6D.) : c. gen., far from, far away from, “ἑ. Ἄργεος” Il.9.246, etc.: freq. following its case, 13.263, Od.14.496, al.; “οὐ Χαρίτων ἑ.” Pi.P.8.21, cf. E.Ph.907 ; “ἑ. ἀπὸ τείχεος” Il.18.256 ; “ἀπὸ τῆς νήσου ἑ.” Hdt.3.41.
2. Comp. “ἑκαστέρω” farther, Od.7.321, h.Bacch.29, Alc.Supp.5.8(ἐκ-), Hdt.6.108, E.HF1047 (lyr.), etc.: c. gen., Hdt.2.169, al. ; also ἑκαστοτέρω dub. in Theoc.15.7 : Sup. “ἑκαστάτω” farthest, Il.10.113, Hdt.4.33 : c. gen., “τοὺς ἑωυτῶν ἑ. οἰκημένους” farthest from.., Id.1.134 ; τῆς Λιβύης ἑ. ἦλθε to the farthest point of Libya, Id.4.204, cf.9.14.
II. of Time, ἑ. ἐών afar, i.e. long after, Pi.P.2.54 ; οὐχ ἑ. χρόνου in no long time, Hdt.8.144 ; “οὐχ ἑ.” A.Ag.1650. [α^ ; α_ only in Call.Ap.2, in arsi.] (Prob. from ἕ and -κάς as in ἀνδρακάς ; lit. 'by himself'.)

each, each one;

(Show lexicon entry in LSJ Middle Liddell Slater Autenrieth) (search) ἕκαστον adj sg neut voc
ἕκαστον adj sg neut nom
ἕκαστον adj sg neut acc
ἕκαστον adj sg masc acc

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ἕκαστος , η, ον,
A. each, opp. the whole body, Il.2.805, etc. : sg. with pl. Verb, ἔβαν οἶκόνδε ἕκαστος they went home each to his own house, 1.606 ; “δεδμήμεσθα ἕκαστος” 5.878, cf. Hdt.3.158 ; so in Att., Ar.Pl. 785, Pl.Prt.327e, etc. ; “ὅτι ἕκαστος ἐπίστασθε ἀγαθόν” X.Smp.3.3 : sg. in apposition with pl. Noun or Pron., which expresses the whole, “Τρῶας δὲ τρόμος αἰνὸς ὑπήλυθε γυῖα ἕκαστον” Il.7.215 ; “ὔμμι..ἑκάστῳ” 15.109 ; “αἱ δὲ γυναῖκες..θαύμαζον..ἑκάστη” 18.496, etc. ; “Περσίδες δ᾽.. ἑκάστα..λείπεται” A.Pers.135 (lyr.) ; αἱ ἄλλαι πᾶσαι [τέχναι] “τὸ αὑτῆς ἑκάστη ἔργον ἐργάζεται” Pl.R.346d, cf. Grg.503e ; ὅστις ἕκαστος every one which.. (nisi leg. ὥς τις), Hes.Th.459.
2. the Art. is sts. added to the Subst. (so regularly in earlier Att. Inscrr., IG12.22.14, al., exc. ἑκάστου μηνός ib.6.125) with which ἕκαστος agrees, in which case ἕκαστος is commonly put first, καθ᾽ ἑ. τὴν ἡμέραν every single day, Isoc.12.211, etc. ; “περὶ ἑ. τῆς τέχνης” Pl.Phdr.274e : also following the Subst., “κατὰ τὸν οξπλίτην ἕκαστον” Th.5.49 ; “κατὰ τὴν ἡμέραν ἑκάστην” Id.6.63, al.
II. in pl., all and each severally, Il.1.550, al., A. Supp.932, etc. ; οἷστισιν ἑκάστοις to whichsoever severally, Pl.Lg. 799a.
2. each of two or more groups or parties, Od.9.164, Hdt. 1.169, A.Pr.491, Th.6.77, etc.
III. strengthd. by the addition of other Prons., εἷς ἕ. (v. εἷς) ; “εἷς τις ἕ.” S.Ant.262 ; ἕκαστός τις each one, Pi.N.4.92, Th.3.45, etc. ; “ταῦτα ἕκαστα” Hdt.5.13, etc. ; “αὔθ᾽ ἕκαστα” all in exact detail, A.Pr.950.
2. with Preps., esp. “κατά, καθ᾽ ἕκαστον” singly, by itself, Pl.Tht.188a, al. ; “καθ᾽ ἕ. καὶ σύμπαντα” Id.Sph.259b ; τὸ καθ᾽ ἕ., τὰ καθ᾽ ἕκαστα, particulars, Arist.Ph.189a6, EN 1143b4, al. ; παρ᾽ ἕκαστον, παρ᾽ ἕκαστα, in every case, Plb.4.82.5,3.57.4, etc. ; “παρ᾽ ἕκαστον καὶ ἔργον καὶ λόγον διδάσκοντες” Pl.Prt.325d ; παρ᾽ ἕκαστον λέγων constantly interjecting, Men.Epit.48.
3. “ὡς ἕκαστοι” each by himself, Hdt.6.79, Th.1.15, etc. : in sg., “τῶν δὲ ὡς ἑκάστῳ θύειν θέλει” Hdt.1.132, cf. Pi.P.9.98 ; “οὐχ ὡς ἕ. ἀλλὰπάντες” Arist.Pol. 1292a12, cf. 1283b34.
IV. later, = ἑκάτερος, D.H.3.2 codd. (“ϝέκαστος” Leg.Gort.1.9, al., Schwyzer 409.4 (Elis), IG9(1).334.9 (Locris). Apptly. connected with ἑκάς by Dam.Pr.423.)

The basic idea is far. The notion of far is "not near", "out away from". The word ekastos is used to subjectivel separate any number of things into their individual selves. Thus exaston means each individual of a group, each element of a set, each instance of a class definition,etc.

Kath exaston means according to the exact provenance of each individual thing. down the individual instance of the things.
Toon hontoon of the things separate out from the rest a single example. According to the spatial inhabiting of that singular example , down its spatial presence think of it and call it one.


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