A NOTE TO THE
LOST BOOKS OF ARISTOTLE
__
B. Lukács
CRIP RMKI
&
Matter Evolution
Subcommittee of the Geonomy Scientific Committee of
HAS
H-1525 Bp. 114. Pf. 49.
lukacs&rmki.kfki.hu
Part
of the Sequence "Methodical Aristotle Studies"
Motto: The History of
Science Is Not Science But Scholarship
ABSTRACT
Diogenes Laertius
recorded the total number of lines in Aristotle’s books. It is 445,270. Can we
believe in this number? The number of extant lines is slightly above 110,000.
If so, ¾ of Aristotle’s works is now lost. How it became lost, why and when?
0. INTRODUCTION
Most of Aristotle's writings are now
lost. That is a shame: Antiquity was not careful enough abouts
its greatest thinker, while practically everything is extant from Plato,
inventor of the idea of myriad-year-old winged souls fleeing to above Sky, or
the 9,000 year old Atlantean superpower defeated by
heroic Athenians in 9,400 BC. Well, Fiction is generally sold better than
Science, so it was copied much more diligently.
My aim here is double: how much
of Aristotle is lost, how and when they were lost. Chapter 1 sums up
the size of the extant Aristotelian texts, Chapter 2
tries to guess the size in Late Antiquity. Then the ancient numbers are tested
by Number Theory in Chapter 3. Chapter 4 gives some technical arguments about
ancient data carriers, and the subsequent 2 Chapters try to reconstruct the
process of data loss. The last Chapter is an Outlook: what could be done if
anybody wanted to follow this line of thinking.
1. THE SIZE OF THE EXTANT
BODY OF ARISTOTLE'S WORKS
Of course we know the extant works.
However the size of them can be expressed in various units.
The contemporary Aristotelica
is published in 2 printed Volumes [1], on almost
2500 pages. That book is almost devoid of non-Aristotelian texts as Notes,
Comments & such. There is cca. 44
lines on a page and cca. 78 letters
in a line, so it is cca. 3400
letters on a page. So it is cca 110,000 printed lines or cca. 8,500,000
letters, including empty spaces between words & such. As for the
Corpus Aristotelicum (CA; later), it is shorter. The texts of Aristotle fill 2463 pages, of which the CA is 2338; 95
%.
Of course, this is the English text.
The Greek can be slightly shorter, but the difference cannot be too much.
However for manuscripts numbers can differ a lot. Now, in manuscripts the
lengths varied. However in the ms. from which Bekker
worked in XIXth century [2], the CA takes 1462 pages, and a page generally 2*38
lines (2 columns). That is almost exactly 111,000
lines (10 double lines being empty on the last page, and a few between
Books), almost the same number of lines as in the printed English version.
(Printed English lines have more characters.)
The extant material is roughly from
3 sources. First, there is the Corpus Aristotelicum.
As far as we know, this goes back to cca. 60 BC, and
was edited first by Tyrannion, or by Andronicus of
Rhodes, or both. The oldest ms. available now comes cca. from Xth
century, and we may more or less believe that the Bekker
canon represents CA. Modern scholars have various views about books how much
they are "genuine". Indeed, some books may have been written by
followers of Aristotle in the Peripatetic school, and surely most books were
penned by students or young teachers. However that is trivial, as far as the
book has been based on Aristotle's lectures. The books of the
CA are as follows (+ means that it is probably "genuine", -
that it is probably not genuine):
N° |
Book |
Remark |
1 |
Categories |
+ |
2 |
De
Interpretatione |
+ |
3 |
Prior
Analytics |
+ |
4 |
Posterior
Analytics |
+ |
5 |
Topics |
+ |
6 |
Sophistical
Refutations |
+ |
7 |
Physics |
+ |
8 |
On
the Heavens |
+ |
9 |
On
Generation and Corruption |
+ |
10 |
Meteorology |
+ |
11 |
On
the Universe |
- |
12 |
On
the Soul |
+ |
13 |
Sense
and Sensibilia |
+ |
14 |
On
Memory |
+ |
15 |
On
Sleep |
+ |
16 |
On
Divination in Sleep |
+ |
17 |
On
Length and Shortness of Life |
+ |
18 |
On
Youth, Old Age,... |
+ |
19 |
On
Breath |
- |
20 |
History
of Animals |
+ |
21 |
Parts
of Animals |
+ |
22 |
Movement
of Animals |
+ |
23 |
Progression
of Animals |
+ |
24 |
Generation
of Animals |
+ |
25 |
On
Colours |
- |
26 |
On
Things Heard |
- |
27 |
Physiognomonics |
- |
28 |
On
Plants |
- |
29 |
On
Marvellous Things Heard |
- |
30 |
Mechanics |
- |
31 |
Problems |
|
32 |
On
Indivisible Lines |
- |
33 |
The
Situations and Names of Winds |
- |
34 |
On
Melissus, Xenophanes and Gorgias |
|
35 |
Metaphysics |
+ |
36 |
Nicomachian Ethics |
+ |
37 |
Magna
Moralia |
|
38 |
Eudemian Ethics |
+ |
39 |
On
Virtues and Vices |
- |
40 |
Politics |
+ |
41 |
Economics |
|
42 |
Rhetoric |
+ |
43 |
Rhetoric
to Alexander |
- |
44 |
Poetics |
+ |
This is 44 books, all of them very
probably attributed to Aristotle even in Late Antiquity. As told, CA is some 95
% of the texts.
The second source is a papyrus from
Egyptian sand, found in 1891. The almost complete manuscript is known for us as
Constitution of Athens. Of course it cannot have the canonical Bekker numbering, but it is some 2 % of the whole extant
material. However, as we shall see, it originally was not a book on his own right
The third source is Fragments;
generally short texts of a few sentences extant in the texts of other authors.
In addition, in any times there were texts attributed to Aristotle, as e.g. his
correspondence with Alexander III of Macedon, or with Hephaestion.
Such writings were quite popular in Middle Ages, when
methods were taken, allegedly from the great Stagirite,
about production of gold, or the Stone of Philosophers, or stories about
Candace, the Indian Princess. I ignore such writings.
So, again, the total amount of the
extant works is cca. 110,000 lines, either printed or in manuscript.
2. THE ANTIQUITY ON THE SIZE
OF ARISTOTELIAN TEXTS
Lists of Aristotelian titles are
extant from 3 serious sources. Diogenes Laertius
gives a list of 156 titles organized into cca. 400 ancient books. Among them we can find titles similar or
identical to the following members of the CA: 1, 2, 3, 4, 5, 6, 7, 11, 12, 14,
20, 21, 22, 27, 28, 30, 31, 32, 34, 36, 38, 40, 41, 42 & 44, albeit in many
cases we may conjecture the different edition. Then comes the list of Vita Menagiana, with 9, 10, 24, 26, 29 & 35, together with
unknown other books. (Vita Menagiana is probably the
work of Hesychius of Miletus,
only fragments are extant. Instead of looking for Muller’s Fragmenta,
now you can consult with [1].) Finally, Life of
Ptolemy [1] gives the titles of 8, 13, 15, 17 & 37.
Now, ##16, 18 & 19 are missing,
but they may hide behind other titles; the edition of Parva
Naturalia looks rather arbitrary. #23 can be behind
other Animalia books. #25 may be (or not) in On
Vision, and #33 in Storm Signs. I am unable to find in the lists ## 39 &
43, but maybe my imagination is weak. This is the reason I told that Late
Antiquity may have known all CA.
As for the Constitution of Athens,
Diogenes Laertius mentions a title: Constitutions of
158 States. From fragments we know some scanty statements concerning the
following states: Acarnania, Acragas,
For the Fragments, Diogenes Laertius knows about a book Protrepicus,
and now there are even some attempts of reconstructing it.
A lot of Diogenes Laertius' other titles are quite reasonable too. E.g. he
mentions a "Claims", anything that be; and look, in Fragment 614 of
Rose's compilation [4] Ammonius mentions Aristotle's
Claims of the Cities in connection of Alexander of Molossus.
In a lot of cases such independent mentions happen. So we may accept that the
books mentioned by Diogenes & others indeed existed and now lost; it is
another matter if Aristotle wrote them, or his followers or strangers.
Now, from the 3 lists mentioned
above, we can collect 211 titles, albeit a few of them may be variants. We now
have 45 books. So some 1/4 of the books are extant and 3/4 lost. Very probably
the more important books had higher chance to be copied, of course.
Now, Diogenes Laertius
happens to give the total number of the lines in Aristotle's Works: 445,270 lines [3]. Although we do not
know the lengths of these lines, and they were certainly variable, the ratio of
lost to extant lines is again almost exactly 3:1.
3. NUMEROLOGIC NOTES
It would be interesting to know how
Diogenes Laertius counted the lines. Since it is irrealistic to assume that he read everything (plus he
gives such numbers for a few other authors too), there remain two
possibilities. Either some librarians (e.g. of the Alexandria Library)
calculated the numbers from their catalogues, or he simply invented the numbers
for making his book more interesting.
His numbers are as follows [3]:
Author |
Lines
total |
Speusippus |
43,475 |
Xenocrates |
224,239 |
Aristotle |
445,270 |
Theophrastus |
232,908 |
Crantor |
c.
30,000 |
Now
we can see that Crantor was not very productive (or
his works were not carefully collected, hence the circa), Speusippus'
low production is quite conform with my expectation, Xenocrates & Theophrastus were much better, and
Aristotle published as much as these two together.
Quite reasonable, but the problem is
just that they are reasonable, so Diogenes Laertius
may have invented them. And observe that the total number of Xenocrates' lines is
a prime number!
So let us see the primes in these
numbers. They go as
Author |
Line
numbers factorised into primes |
Speusippus |
5*5*37*47 |
Xenocrates |
224239
(!) |
Aristotle |
2*5*7*6361 |
Theophrastus |
2*2*3*13*1493 |
(Theophrastus |
2*2*2*2*2*3*5*5*97) |
The
last line is a variant; an Internet site [5] gives the total number of the
lines of Theophrastus as 232,800 instead of 232,908. The other numbers are the
same.
Now, the first impression is that
not only Xenocrates' big prime is improbable, but
Aristotle's big 6361 as well. By other words, somebody invented some numbers
for some philosophical purpose of his own.
But beware! It is an interesting
problem, which prime constituent is probable and which is not. Here I cannot
solve this problem in full. However I can make random number calculations. I
generated 10 6-digit numbers by means of generating each digit via independent
random numbers from 0 to 9. The next Table is the 10 numbers and the prime
decompositions, in chronological order:
Random
numbers |
Prime
factors |
812,907 |
3*3*41*2203 |
422,027 |
23*59*311 |
082,707 |
3*19*1451 |
691,046 |
2*167*2069 |
350,835 |
3*5*19*1231 |
148,164 |
2*2*3*12347 |
044,490 |
2*3*5*1483 |
090,687 |
3*19*37*43 |
946,283 |
13*83*877 |
201,389 |
201389
(!) |
Obviously the sample is too small;
e.g. from 10 numbers 3 start with 0, instead of the expected 1. However if
someone needs a bigger simulation, it means only a moderate computer work.
Taking these 10 numbers, one is a prime,
quite comparable to Xenocrates' line number, and
another one has a prime factor almost twice as big that the biggest in
Aristotle's line number.
So for me Diogenes Laertius' statement for the total lines of Aristotle does
not seem invented. We may accept that it was originally 445,270, and then 3/4
of them is now lost.
4. ON THE FATE OF THE
We have stories how the famous
Alexandria Library bought Aristotle's books. Indeed, there was a time when the
Alexandria Library collected anything.
Also, the Peripatetics had some strong connections
with
Indeed, the simplest assumption
about the list in Diogenes Laertius is the Catalogue
of the Alexandria Library. We know that real, topical and alphabetical,
cataloguing was developed there. Antique sources tell us that the Catalogue in
itself took 120 papyrus rolls. If Diogenes had access to the Catalogue, he
could easily compile his list, with the total number of lines. If he had access.
Now let us make again some
calculations. You can get some useful information from [6], [7] & [8].
First let us note that in the antiquity Aristotle's books were scrolls, and in
Now, how big is a scroll? There is
no definite answer; scroll sixes vary. However we know lots of "books" from ancients; small
units of texts rather similar to our Chapters. The old texts were maybe
copied and recopied many times, but they are still so organized, into these
“books”. Take, for example, Aristotle's Problems. That is 38 “books”, going
from 859a1 to 967b25, so almost 8200 lines; so one “book” there is only cca. 215 lines. Metaphysics is 14 “books”,
from 980a23 to 1093b27, so cca. 8700
lines, so 620 lines per “book”. On Indivisible Lines is a single book,
with 380 lines. And so on.
Also, take Iliad. It consists of 24 “books”.
Now, we have the line numbers as follows:
Book |
Lines |
I |
611 |
II |
877 |
III |
461 |
IV |
544 |
V |
909 |
VI |
529 |
VII |
482 |
VIII |
565 |
IX |
713 |
X |
579 |
XI |
848 |
XII |
435 |
XIII |
837 |
XIV |
522 |
XV |
746 |
XVI |
867 |
XVII |
761 |
XVIII |
617 |
XIX |
424 |
XX |
503 |
XXI |
611 |
XXII |
515 |
XXIII |
897 |
XXIV |
804 |
Ref. [7] tells that "A thousand
or so lines of text was all that a roll could hold...".
Indeed, the above Table shows this. There are shorter Books, but the longest s
between 900 and 1000 lines.
However after some
times Alexandrian scrolls became longer, surely because of the need of the
Royal Library. Ref. [6] tells that a scroll could hold "one of the
rather longer books of Thucydides". Now, the average book of Thucydides
would be cca. 3500 lines in Aristotelian format.
According to extant papyri with Greek texts 1000 lines needed some 7 m length
(halved, of course, with double columns, but then a wide papyrus is needed), so a book of Thucydides would be 20 m,
rather at the edge of technical possibilities (think about abrasions in
evolution/involution).
Now we can re-check Diogenes Laertius' line number 445,270. Assume that the
We can, however, estimate the length
of the part of the Catalogue about Aristotle, if Diogenes' data come thence.
Minimally a few lines are needed for an item: author, title, topics, number of
scrolls involved, place. If so, I would guess as 600 lines, a small older
scroll. This means that Aristotle's books were well below 1 % of the Library.
Of course, they were the most valuable books.
Historians of Science often simplify
the question about losing Aristotle's books. There was a big Aristotle
collection in the Alexandria Library; it perished with the Library. Maybe there
was another collection in the Pergamum Library; but
Mark Anthony sacked that Library to give a present to Cleopatra. The collection
of Lyceum vanished with the end of Paganism in 4th century. Western collections
were burnt by Goths, Huns or Vandals. And so on. However the thing is more
complicated. You can find a discussion of mine at [9], and I do not repeat
that. However observe that
1) The later history of the
Alexandria Library is obscure (see later).
2) In the historical folklore Mark
Anthony sacked the Pergamum Library, but sent the
books just to
3) One may doubt if followers of the
Peripatetics were still Pagan in 393. As for Logics, for example, in High Middle Ages Abaelardus
(11th c.) and Petrus Hispanus
(12th c.) stand on good Peripatetic grounds [10], [11], [12]. One can
loosely span a bridge through Aristotle - Theophrastus - Poseidonius
- Alexandrus Aphrodisius - Boethius - Simplicius - Philoponus - Abaelardus without
anything drastic at the religious change; the logic remains on Peripatetic
foundations [13].
Of course Christian Peripatetics may have not been interested in Theses on Love
(4 books), Homeric Problems (6 books) or Olympic Victors (1 book), so they did
not keep them for us. And a copy of a scroll book deteriorated in some
centuries, and the few copies of a rare book were endangered if libraries
simply did not get founds.
I shall suggest a two-phase process
of losing 330,000 Aristotelian lines in non-copying. But first let us see the
Fate of the Great Library of Alexandria.
5. ON THE GREAT LIBRARY
We are sure that sometimes there was
a Great Library in
So far so good.
But the sources are equivocal about the number of scrolls. Ref. [6] compares
some of them: the smallest number is given by Seneca (AD 50), 40,000, the
largest by Aulus Gellius
(AD 150), 700,000. We can conclude that data are simply hearsay and fairy tale
for later authors.
A moderately early source is Aristeas. This is the source describing the translation of
the Pentateuch to Greek by 72 wise men, so arguing for the prestige of the
Septuagint, which is now the original for the Catholic Old Testament (by no
means the same as the Protestant Old Testament, or Jewish Tora,
or Karaite and Samaritan Bible; the canon of
Septuagint is the oldest). Aristeas tells that in a
time the Library had 200,000 scrolls but later it went up to 500,000.
I would suggest the lower value,
since I am familiar with state-owned economies. There are plans; then local
leaders do not fulfil the plans of the top, but they
report that they have. Ptolemy II Philadelphos gave
money and promised more, to get a very, very big Library. Then librarians sure
rounded upwards all possible data, and reported their plans as facts.
We heard about the Catalogue in 120
(large) scrolls. That would be cca. 420,000 lines. It is rather hard to catalogise
500,000 scrolls in 420,000 lines. It is barely possible for 200,000 scrolls.
Maybe that meant cca. 50,000 artifacts, and, say
40,000 titles (duplicates must have existed).
Now, these 200,000 scrolls needed
re-copying from time to time. Under Egyptian climate papyrus is quite durable
(the Oxyrhynchus excavations result in many quite
legible pieces after almost 2 millenia), but the
process of reading is quite dangerous for a long scroll. When fiscal troubles
started for the Library, some books started to deteriorate.
Romantic historians of Science are
not interested in such details. They look for a single Catastrophe. The
suggested events are various.
1) During the military campaign of
Caesar in 47 BC fires started and the books of the Library burnt.
2) Emperor Caracalla
punished
3) The city revolted against Emperor
Aurelian in 273 AD, so it was looted, the palace
quarter became ruins, and so also the Library.
4) Emperor Theodosius abolished the
pagan temples in 393. Then the Serapeum (or the
Museum) was overtaken by Christians, and they destroyed the Library.
5) In 415 the mob, excited by monks
of Bishop Cyril, lynched the pagan astronomress Hypatia, and destroyed her favourite
place, the Library.
6) The Arabs took
7) The crusaders burned the Library.
Now, lots can be told against any of
the above Solutions. For the first 6, however, at least the bare possibility
remains. However, Strabo (true, ex silentio, but that is something for him, usually loquacious)
is a witness against any Great Library in 13 BC [14]. In XVII.1.8 he simply
states that
1) A part of the royal quarter is
the Museion.
2) The Museion
consists of a garden, an exedra, and a big residential place for the scientists
staying in the Museion; the scientists eat there.
3) The Museion
has its incomes, and is led by a priest.
4) This leader originally was
nominated by the [Ptolemy] Kings and now [13 BC] by Caesar [the Emperor].
Indeed, no mention of any Great
Library, although it would be proper because of the scientists. The mention of
the scientists, however, is important: the Musaeon of
Alexandria continues as
Obviously the scientists need a
Library. Now, there are calculations for the size of the Great Library; mainly
from the fact that the books must be housed along the walls in a convenient
way. Ref. [6] suggests a method of calculation, which gives 20 m*20 m*5 m for
200,000 scrolls. Such a substantial building should have been recognised by Strabo, visiting
Strabo's
silence is interesting; one would expect him telling more about the
But surely, no Great
Library in 13 BC. Then either Caesar's Alexandrian War burnt it in 47
BC, or it vanished even earlier. Now, remember that we know the names of the
Library Directors until mid-2nd century BC, and they were scholars or
scientists. The last "great" librarian is Aristarchus
of Samothrace [6]. He seems to have been the
librarian to the time of Ptolemy VII Physcon; the
time of this King was turbulent, with counter-Kings, Syrian incursions, crises
between Alexandria & Chora. There are some
stories how scholars were molested & expelled. Surely, the Library went on;
we know about the existence of Ptolemy VII Physcon’s
officer & librarian Kydas, and about an Onasander in 88 BC.
However no scholarly or scientific tradition remembers them; so in the best case they were administrators. In the worst
case they stole the money of the Great Library; or they were honest, but the
Kings cut back seriously the budget.
Then the manuscripts started to
deteriorate, and in some decades the size of the Library went down to lesser
dimensions, viable at the smaller budget. World’s Biggest Library could not
exist too long as a relic. Without proper attendance & maintenance mice eat
the books, say, in a generation.
6. THE SCROLLS GO AWAY
OK, in mid-3rd century AD (the time
of Diogenes Laertius) there is no Great Library in
Diogenes Laertius'
text is phrased as if the books still would exist. Maybe he does not know,
where; but in the Empire smaller libraries operate in great number. However,
surely, Aristotle's books are in scroll form. Remember: in 2nd century AD 99 %
of Greek books are scrolls [6].
In 3rd century the codex form starts
even for Greek texts. As O'Donnell writes: "Books that made that
transition [to codex] successfully had a reasonable chance of surviving and
being read in the centuries to come, while books that did not were more likely
to be orphaned. ... the plays of Menander,
for example, which were not copied into codex form, were almost entirely lost
to us..."
Surely there were budget problems
for research institutes and high schools. The Peripatetics
copied the works used for teaching; this is may have been the Corpus Aristotelicum. The works of less "practical"
usage remained in scroll form. Scientists and scholars could read (for a while)
the old scrolls. Then came the troubles: the Migration on the West, Arabs in
And why all Plato have been copied?
7. OUTLOOK
This work obviously could be
continued, and maybe it would be worthwhile. My present goal was simply to call
attention at some points. The topics clearly needs
interdisciplinary work, however maybe different persons could clarify different
points further. If anybody has time and energy to continue, to me the important
points are, e.g.:
A) The simulation in Chap. 3
can be improved easily.
B) Also, approximate formulae
exist for the density of primes; exact ones do not. Also, some numerologist can
easily count the primes between, say, 40,000 & 500,000; I do not have the
proper codes.
C) Palaeographists can easily tell if any hint
exists for ancient scrolls with cca. 6000 lines (or
3000 double lines). While my estimations on length/width are based on extant
papyri, obviously such an enormous scroll cannot be expected in intact form.
Still, maybe Gedankenrekonstruktion may exist from
fragments.
D) Maybe somebody has an idea
why Strabo is so uninterested in Musaeon
and its scientists.
E) The Lyceum’s later history
is obscure. (I mean not the building, but the scientific community.)
Maybe
along these lines the story of Lost Knowledge could be clarified somewhat.
ACKNOWLEDGEMENTS
I tried to discuss this topics with several colleagues of mine, but without
success. Maybe all of them are Platonist.
REFERENCES
[1] J.
Barnes (ed.): The Complete Works of Aristotle.
[2]
[3] Diogenes
Laertius: The Lives and Opinions of Eminent
Philosophers, transl. by C. D. Yonge.
H. G. Bohn,
[4] V.
Rose: Aristotelis Fragmenta.
Third Edition. Teubner,
[5] ***:
http://www.greece.org/alexandria/library/library15.htm
[6] J.
Hannam: http://www.bede.org.uk/Library2.htm
[7] J.
J. O'Donnell: Avatars of the Word. Harvard,
[8] L.
Casson: Libraries in the Ancient World. Yale,
[9] B. Lukács: http://www.rmki.kfki.hu/~lukacs/FOMENKO3.htm
[10] L. M. de Rijk
(ed.): Dialectica Petri Abaelardi.
Van Gorcum, Assen, 1970
[11]
[12] J. Donat: Summa Philosophiae Christianae; Logica.
[13] M. Maróth: Aristoteléstôl Avicennáig. Akadémiai Kiadó,
[14] Strabo:
Geography. Loeb Classical Library,
My HomePage, with some other studies, if you are curious.