Agreements &Disagreements: Marcovich and Kirk Sets

 

To Eleonora Fiorani, 9 marzo 2021

References:

Marcovich, Heraclitus. Greek Text with a Short Commentary, The Los Andes University Press, Merida, Venezuela, 1967. [M]

King, The Cosmic Fragments, Cambridge University Press, 1962. [K]

1 The Logos

1.1 If in [M] Group One: The Logos is an objective Truth (έών) operating and apprehensible in the world of our daily experience ... Nevertheless men fail to recognize it (pag.1), then:

a          MG1 = {fr|that say: Logos is knowable but not known}

If in [K] Group One: The Logos according to which all things come to be is  ‘common’ in two senses: it is universal and it is equally apprehensible by all ... yet men still fail to recognize it. (pag. 32), then:

b          KG1 = {fr|that say: Logos is knowable but not known}

c          if a b, then: MG1 = KG1, but:

d         c ₣, in fact:

e          MG1 = {(1 DK+73 DK), 34 DK, 17 DK, 72a DK}

KG1 = {(1 DK+73 DK), (114 DK+ 2 DK + 113 DK), 89 DK, 50 DK}

MG1≠KG1 and only (1 DK+73 DK) MG1∩KG1


Comment

α Marcovich and Kirk do not operate in the same ∃. M pag. XV: I tried to give a critical text of all the extant fragments of Heraclitus. K pag 46: These criticism of the generality of men occur again and again in the extant fragments; many of those fragments are not treated in detail in present work since they add little to our knowledge of the Logos ... then: K M. In detail, 34 DK; 17 DK; 72a DK; not treated in detail by K.

β γ 114 DK + 2 DK = 23 M, in Group 5 (ξυνός of the Logos), M p. 97: In conclusion, the objective of all the apparatus applied by Heraclitus in fr. 23 (114 + 2) was to impose the new doctrine on the Logos. 114, K p. 51: The fragment may be paraphasable thus: Man who want behave intelligently must base their behaviour on the formula or rule which operates in (and can detected in) all things ... [like in] the law of their city. But the reason to following the rule underlyng all things is even stronger that for obeyng city laws. 2, K p. 59: There is a close parallelism in structure between fr. 1 and fr. 2, and, The fact that τ^_ ξυν^_ has just been mentioned makes it permissible that the phrase refers primarily to the Logos.

δ 113 DK (= d1 23 M) is doubt, M p. 96: It seems to me that the later imitators of the saying ... 113 K, and K p. 55: In fact, the so-called fragment is suspect whether or not is connected with fr. 114.  

ε 89 DK = M 24, Group 5. K p. 67: H. is trayng to say that the truth which he wants to propagate is not just some idea of his own: it can be detected in many different ways, for it is common to all things ... howeer, should make it more readily comprehensible.

ζ 50 DK = M 26, Group 6.

η linguistic comparison of sets:

K

114 DK Those of speak with sens must rely on what is common...

2 DK Therefore it is necessary to follow the common ... but although ...

50 DK Listening ... to the Logos it is wise to agree [but ...]

M

34 DK People who remain uncomprehending ...

17 DK The majority of men do not notice the things .....

72 Men are at variance with that ...

K

114 DK Those of speak with sens must rely on what is common...

2 DK Therefore it is necessary to follow the common ... but although ...

50 DK Listening ... to the Logos it is wise to agree [but ...]

M

34 DK People who remain uncomprehending ...

17 DK The majority of men do not notice the things .....

72 Men are at variance with that ...




















King’s fragments tell us what men should do (and they dont) to understeand the Logos, Marcovich ones, what men actually do (and they shouldn't). From this point of view, the starting sets should be corrected in a diametrically opposite way, obtaining these two complementary sets:

                       

KG1a = {fr|that say: what man should do to understand the Logos}

                        MG1a = {fr|that say: what man should not do to understand the Logos}

 

Conclusions

King's set is smaller than Marcovich's one. Marcovich favors an interpretation of Logos as a manifestation of transcendental force, while Kirk considers it, above all, as a natural law. For this reason Marcovich's G1 should be integrated with his G5 (ξυνός):

 

e1         MG1MG5 = {(1 DK+73 DK), 34 DK, 17 DK, 72a DK, (114 DK + 2 DK), 89 DK }    

KG1 = {(1 DK+73 DK), (114 DK+ 2 DK + 113 DK), 89 DK, 50 DK}

P = {(1 DK+73 DK), (114 DK + 2 DK), 89 DK} ∩ MG1MG5 KG1


2  The opposites

2.1 Macrostructure

KING

MARCOVICH

Groups 2-8

Reasons for accepting the conclusion, connec-ted with the Logos, that ‘all things are the same’

Group 2

The same thing is regar-ded in opposite ways by different types of obser-ver ...

Group 6

A unit can be made of each pair of opposites

 

 

 

Group 3

The same observer may ascribe opposite attribu-tes to the same objet in special cases ...

Group 7

tÕ pal…ntonon, Polemos

 

 

 

 

Group 4

... opposites are comple-mentary each other

Groups 8

Opposites pairs mani-festly present in a single object

Groups 8-12

Exempla coincidentia oppositorum.

 

 

 

Group 5

... opposites invariabily succeed each other

Group 9

The same thing is regar-ded in opposite ways by observers ...

 

 

 

Group 6

Opposites are exentially connected

Group 10

Convertibility, two sides of the same coin

 

 

 

Group 7

Tension between opposi-tes

Group 11

Correlative opposites

 

 

 

 

Group 8

... war or strife

Group 12

Opposites that presuppo se each other

 

 


From desxriptions we find some similarities:

KG2 MG9 opposites are result of different points of view (by different subjects );

KG3 MG8 opposites are result of different funcional valutation  (by the same subject);

KG4 MG11 opposites are complementary and correlative phenomena;

KG5 MG10 opposites are successive degrees of an implementation;

KG6 MG12 opposites are connected each other (that is, they have the same substrate);

KG7 MG6 opposites are dialectical polarities;

KG8 MG7 opposites are  manifestations of an immanent tension (Polemon).

Let's test  these hypotheses.

 

2.2 Different points of view

If:

a          KG2 = {fr|that say: opposites are result of different points of view} and

b          MG9 = {fr|that say: opposites are result of different points of view}, then:

c          KG2 = MG9.

But:

a1           KG2 = {61 DK, (13 DK + 37 DK), (9 DK + 4 DK)} and:

b1        MG9 = {61 DK, (13 DK+ 37 DK), 9 DK, 4 DK, 48 DK, 12a DK}, then:

c1            KG2 MG9


Comment

α 48 DK: Marcovich himself [pag. 127] admits the poor compliance, in the set, of this fragment (and also of 12a DK). There is here no perceiving subject who may have different points of view. His explication (name and function as inseparable parts of the object) is an assist for Kirk, who places the fragment in his Group 3.  Kirk's choice is defensible because for the threatened man or the hungry hunter, the bow has vital functions.

β 12a DK: the perceptions of the subject do not change, the object does. This fragment is out of place. With more reason, Kirk puts it in his Group 12, reserved to the the river-analogy.

 

Conclusions: Marcovich does not respect the conditions of belonging to the set.

 

2.3 different funcional valutation 

If:

a          KG3 = {fr|that say: different percepcion for different function or aspect} and

b          MG8 = {fr|that say: different percepcion for different function or aspect}, then:

c          KG3 = MG8.

But:

a1         KG3 = {58 DK, 59 DK, 60 DK, 103 DK, 48 DK}

b1        MG8 = {59 DK, 60 DK, 103 DK}

c1         MG8 KG3


Comment

α 48 DK supra.

β 58 DK: the opposing characteristics of such objects belong to the objects (Kirk pag. 87), but doctor’s function (or aspect) isn’t double. If anything, it is the patient who perceives it differently (although Heraclitus does not think so). Marcovich places fr. 58 DK in his Group 11 (opposites are correlative) for medical treatment and disease both produce pain. It is a more  happy choice.

 

Conclusions: Kirk's choice about 58 DK is questionable.

 

2.4 successive degrees of an implementation

If:

a          KG5 = {fr|that say: opposite is a degree of an implementation} and:

b          MG10 = {fr|that say: opposite is a degree of an implementation }, then:

c          KG5 = MG10.

But:

a1         KG5 = {88 DK, 126 DK, (57 DK + 106 DK), 99 DK }

b1        MG10 = {88 DK, 126 DK, 57 DK}

c1         MG10 KG5


Comment

α 106 DK... fr. 106 belongs to the same context as fr. 57... is simply another form ... (King, page 159, with the support of Reinhard and Kranz).  Marcovich (320, 321): I think it is not likely; because: (а) In fr. 43 (57) Heraclitus is speaking of the opposites day and night, and here only of the day (Gigon 133) (b) There Hesiod’s teaching on the mother-child relationship of Night and Day (Theog. 123 f.) seems to have been criticized, whereas here Heraclitus is likely to rebuke Hesiod’s belief in good and bad days (Erga 765 ff.). Heraclitus could well have attacked Hesiod for different reasons, as he did with Homer too: cf. e. g. frr. 28 (80) and 29 (53) against fr. 21 (56). (c) In fr. 43 (57) day and night are said to be one probably because they invariably succeed each other (the level of the coincidentia oppositorum); in this fr. 59 (106) the real essence (φύσις) of the day is concerned, which is probably fire (the level of Heraclitus’ Physics).

β 99 DK, from Pseudo-Plutarchus. Marcovich (322-324): eê μή ήλιος %hν, νεκα τÏν ¥λλων ¥στρων εÙφρόνη ¨ν %hν. (If there were no sun, for all the other stars it would be (perpetual) night.) That is: the other stars are unable to illuminate the sky; rightly in G. 14, astronomical opinions. Kirk (162):  eê μή ήλιος φησìν %hν εÙφρόνη ¨n %hν. (If the sun did not exist it would be night). Therefore: light is a necessary assumption of darkness and vice versa; acceptable in this set.

 

Conclusions: contradictions by philological choices.

 

2.5 opposites are connected each other

If:

a          KG6 = {fr|that say: opposite is connected at ...} and:

b          MG12 = {fr|that say: opposite is connected at ... }, then:

c          KG6 = MG12.

But:

a1         KG6 = {10 DK, 102 DK, 67 DK}

b1        MG12 = {62 DK , 26 DK,  21 DK, 15 DK }

c1         KG6 ≠MG12  

Comment

α 10 DK. Kirk puts it in this set (dialectical analysis), Marcovich in his 6th (dialectical synthesis).

β 102 DK. (To God all things are fair and just, but men have supposed, some things unjust and some just.) God and men, two subjects, Kirk privileges human subjectivity (but better in Group 2); Marcovich chooses divine objectivity and put it in his theological Group 21.

γ 67 DK. (God is day and night, winter and summer, war and peace, satiety and hunger ...) As above, Kirk chooses phenomenological reality, Marcovich transcendental unity (G. 17).

δ 62 DK. ε 26 DK. ζ 21 DK. η 15 DK Not treated in detail by Kirk (see α 1.1).

 

Conclusions: analysis and synthesis – as well as immanence and transcendence – can induce different options.

 

2.6 opposites are dialectical polarities

If:

a          KG7 = {fr|that say: opposite is a dialectical polarity } and:

b          MG6 = {fr|that say: opposite is a dialectical polarity }, then:

c          KG7 = MG6.

But:

a1         KG7 = { (51 DK + 8 DK), 54 DK, 123 DK, 7 DK}

b1        MG6 = {10 DK, 50 DK, (51 DK + 8 DK) }

c1         MG6 ∩ KG7 = 51 DK + 8 DK

α 54 DK. Marcovich: Invisible connexion is stronger than visible; Kirk: An unapparent connection is stronger than an apparent. Little difference, but enough: Kirk is in the physical world, Marcovich in the one governed by Logos immanence, Group 3. The same in the next:

β 123 DK. The real constitution of  thing is accustomed to hide itself.(Kirk), The real constitution of each· thing is accustomed to hide itself (Marcovich, Group 3).

γ 7 DK. If all things where to became smoke the nostrills would distinguish them, they agree on translation, but not on interpretation. For Kirk (pag. 202) fr. 7 is a hypothetical specific example of the fact that unity and pluralty can coexist ... it puts a case where the unity of connexion would be the superficial aspect, while the differentation lies beneath the surface. Instead, Marcovich (pag. 420) write: All things are made up of fire though our eyes do not see it. But suppose that everything turns to smoke: then one organ of ours, the eyes, would see the universal underlying stuff, smoke, whereas another organ of ours, the nose, would perceive different kinds of matter, i. e. different smells or scents within this smoke.

δ 10 DK. see α 2.5.

ε 50 DK.  see ε 1

 

Conclusions: Some problems arise from different philosophical sensibilities of the authors. But it must be said that the domain of Kirk’s set it is not strictly defined.

 

2.7 opposites are  manifestations of an immanent tension

If:

a          KG8 = {fr|that say: opposite is  manifestation of an immanent tension } and:

b          MG7 = {fr|that say: opposite is  manifestation of an immanent tension }, then:

c          KG8 = MG7.

But:

a1         KG8 = {80 DK, 53 DK, 84ab DK, 125 DK, 11 DK }

b1        MG7 = {80 DK, 53 DK, 42 DK, 125 DK}

c1         MG7 ∩ KG8 = {80 DK, 53 DK, 125 DK}


Comment

α 84ab DK. Kirk (p. 250): [a] Changing it rests [b]  It is weariness to toil for and be ruled by the same. His explication (p. 252): It is restful for things to change. Marcovich (p. 303):  [a] In changing it [fire?] is at rest. [b] It is weariness to toil for the same (masters) and he ruled by them. And adds, I don’t think change in general is meant, as Gigon and Kirk interpreted. I would agree with Diels that πυρ might be the invisible subject here. Consequently, he places the fragment in his Group 13[1]. See α and β 2.5.

β 11 DK. This fragment cannot be assignate with certainty to this group – Kirk p. 258 – and adds (262): I think it as likely as not to be a concrete illustration of the universality of strife: the opposition between man and beast may typify that between man and his sourroding, or the action and reaction between all things absolutely. Marcovich (p. 430): I think that πληγή might hint at πληγÕ κεραυνoû, ‘stroke of the thunderbolt.’ Consequently, the saying might imply: Thunderbolt {Fire) is the Supreme Grade (Shepherd) of mankind. In Group 18[2]. As above.

γ 42 DK. The emphasis made by Heraclitus on Polemos (of. ξυνός etc.) can be explained [also] by  Heraclitus’ polemic with traditional opinions of the Epics (Marcovich, p. 130). We are in a subset.

 

Conclusions: Polemos is a limit concept between dialectic of material nature and action of a higher transcendent intelligence.

 

3 Astronomical phenomena and their laws (KG9, MG14)

If:

a          KG9 = {fr|about astronomical phenomena} and:

b          MG14 = {fr|about astronomical phenomena }, then:

c          KG9 = MG14.

But:

a1         KG9 = { 6 DK , 3 DK, 94 DK, 120 DK , (100 DK + 137 DK)  }

b1        MG14 = {3 DK,  6 DK , 106 DK , 99 DK, A1 DK, 120 DK, (105 DK + 38 DK), 100 DK, A 13 DK}

For:

1) doxographical quotations are widely treated by Kirk ad frr. 6 (A 1 DK), 100 (A 13 DK)[3];

2) 137 DK, dubium, Kirk (p. 304) : It is clear that no study of the doxographical material is going to show whether this alleged quotation is genuine. Marcovich (137 DK = c1 28 M): no new material from Heraclitus is contained in testimonia c1-6. (pag. 142).

 I propose:

a2         KG9 = { (6 DK + [A 1 DK]) , 3 DK, 94 DK, 120 DK , (100 DK + [A 13 DK])}

b2        MG14 = {3 DK,  6 DK , 106 DK , 99 DK, A1 DK, 120 DK, (105 DK + 38 DK), 100 DK, A 13 DK} whith:

c2         P  = { 3 DK, 6 DK, 100 DK, 120 DK, A 1 DK, A 13 DK} ∩ KG9 MG14





[1] The fragments of this Group deal with three basic principles of Heraclitus’ Physics: Fire, Measures, and Change.

[2] In Group 18 God appears as separated from world, as the supreme Steersman, Shepherd and Judge of men, very alike to the Homeric Zeus.

[3] p. 270 and passim: All relevant information is contained in ...  Diog. L. IX, 9-11 (= A 1 DK) ... p. 300 and passim: Censorinus  de die nat. XVII, 11 (= A 13 DK) ...

 

 Comment

α 94 DK. 52 M, Group 13 (Fire, Measures, and Change). Ελιος, Έρινύες, Δικης the context is mythological, see conclution 2.7.

β 106 DK. Not trated in detail by Kirk.

γ 99 DK = β 2.4.

δ 105 DK + 38 DK = 63ab M. Not trated both in detail by Kirk.

 

Conclusions: osmosis between physics and metaphysics, as already mentioned, and different purposes of the authors.

 

4 Cosmic Fire

Marcovich Doctrine On Fire is a macrostructure:

13

fragments of this Group deal with three basic principles of Heraclitus’ Physics: Fire, Measures, and Change

14

deals with the astronomical and meteorological views of Heraclitus.

15

deals with Heraclitus’ Psychology.

16

the cryptic sayings of this Group seem to deal with the eschatology of man.

17

links Heraclitus’ God with his Physics.

18

God appears as separated from world, as the supreme Steersman, Shepherd.

19

speaks of God-Fire as absolute Wisdom.

20

contains the criticism of the traditional beliefs, cults and rites. In the rest of these groups the features of the new doctrine on God-Fire are expounded.

21

emphasizes the essential difference betiveen the true knowledge which has only God, and the false or incomplete knowledge of man.

 

The comparison must be made between Kirk Group 10 (fragments of this group deal with the characteristics of  cosmic fire) and Marcovich Group 13.

 

3.1

If:

a          KG10 = {{fr|about cosmic fire} and:

b          MG13 = {{fr|about cosmic fire}, then:

c          KG10 = MG13.

But:

a1         KG10 = {30 DK, 31 DK, (36 DK + 76 DK), 90 DK, 64 DK, 65 DK, 16 DK}

b1        MG13 = {30 DK, 94 DK, 31 DK, 90 DK, 65 DK, 84ab DK}

c1         P  = { 30 DK, 31 DK, 90 DK, 65 DK} ∩ KG10 MG13

 

Comment

α 36 DK. Marcovich (p. 360):

                                   For souls it is death to become water,

for water it is death to become earth;

                                   but out of earth water comes-to-be,

and out of water, soul.

in Group 15 for evident psychological content. Kirk (p. 339) Water is death to soul ... from water comes earth, from earth again comes water, from that comes souls, leaping up to the whole aither. Marcovich cycle:  soul – water – earth – soul. Kirk cycle: water – soul – earth – aither. β 76 DK = e1 66 M (36 DK).

γ  64 DK. χρησμοσύνην καὶ κορόν, Marcovich (Group. 18, p. 424 ): This saying be taken as a typical case of Heraclitus’ midway theology: the word κεραυνός looks like a ‘common denominator’ of both the traditional Zeus and the new Fire. Namely, the thunderbolt is Zeus’ main weapon and, pars pro toto, recalls easily the idea of Zeus as the Supreme Divinity. Kirk (p 356): thunderbolt is simply a symbol for fire, and that Heraclitus means only to assert that fire (and not Zeus, or the deity, or fate) steers all things, in the sense of is responsible for the way in which all things behave.

δ 16 DK. Marcovich (Group. 18, p. 433): Thus Heraclitus substitutes the traditional Helios by his new god Fire, which never sets. But in spite of all Heraclitus’ radical criticism the new Watchman does not seem to be much different from the traditional Ζεύς. Kirk (p. 365): This fragment is placed in this group partly because it may bear upon the nature of Heraclitus’ fire, partly because of its traditional (and fallacious) connexion with ecpyrosis-interpretation.

ε 94 DK. See α 3. ζ 84ab DK See α 2.7.

 

Conclusions: Marcovich theologizes, Kirk rationalizes.

 

5 The River

If:

a          KG11 = {{fr|about river analogy} and:

b          40 M ∩ MG9  = {{fr|about river analogy}, then:

c          KG11 = 40 MG9

And:

a1         KG11 = {(12 DK + 49a DK), 91 DK}

b1        40 M = {40 M (= 12 DK), c2 40 M (=49a DK), c3 40 M (=91 DK)}

c1         KG11 = 40 M ∩ MG9


6 The Divine Entity

If:

a          KG12 = {{fr|about divine entity } and:

b          MG19  = {{fr|about divinne entity}, then:

c          KG12 = MG19

And:

a1         KG12 = {(41 DK + 112 DK), 32 DK, 108 DK}

b1        MG19 ={108 DK, 32 DK, 41 DK }

c1         MG19 ∩ KG12  






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