
Traditional logic
149
construction. The
third
type of term discussed was the so-called resoluble
term, whose presence in a proposition indicates
that
it should be shown to be
true
by appeal to an expository syllogism involving a move from general
terms (such as 'human being') to such indicator terms as 'this'. The most
famous author of a treatise on the proof of terms was Richard Billingham.
His Speculum puerorum, also known as Terminus est in quern, was written in
the mid fourteenth century and it became extremely popular, especially in
Southern and Central European universities.
29
As
well
as treatises on individual topics, medieval logicians wrote
summulae, or general textbooks. The most famous example is the thirteenth-
century work by Peter of Spain which
gives
a complete outline of
Aristotelian
logic,
including categories, syllogisms, topics and
fallacies.
More
than
300 manuscripts of this work survive, and about 200 printed
editions, mostly with a commentary.
30
However, it would be a mistake to
think
that
Peter
of
Spain had no rivals. Two other general textbooks were to
be
of
great importance in the fifteenth century. The first is the summulae by
Jean
Buridan, which was printed several times with a commentary by
Johannes Dorp.
31
Buridan's treatise is a reworking of Peter of Spain, but
supposition is discussed in tract iv, and tract vm, on division, definition and
demonstration, was completely new. The second is Paul of
Venice's
Lógica
parva, probably written in
1395—6.
32
Its contents list is worth considering in
some detail. Tract 1 presents the material of the summulae and deals with
terms, nouns, verbs, propositions, equipollence, conversion, hypothetical
propositions, predicables, categories and syllogisms
—
that
is, everything
that
Peter of Spain had covered except for topics and
fallacies.
Tract
11
deals
with
the material of the parva logicalia, i.e., supposition, relative terms,
ampliation and appellation. Tracts in, v and vi are versions of the so-called
'tracts
of
the moderns', i.e., consequences, obligations and insolubles. Tract
iv
is on the
proof
of
terms, including exponibles. The last two tracts contain
objections to the summulae and to the consequences. The Lógica parva was
very
popular. Over seventy manuscripts survive, and it was printed many
times.
33
There were sixteen editions in
Venice
alone, six between 1525 and
1580;
and the last
that
I know
of
was
as late as
1614.
An important feature of
29. De
Rijk's
introduction
to Some Fourteenth-Century Tracts 1982, p. *3*. See ibid, for an
edition
of
some
alternative texts,
by
Billingham
and
others.
See
Maieru
1969 for an
edition
of
Billingham.
30.
Peter
of
Spain
1972, p. c.
31.
Dorp
was
active
in the
German
nation
at the
University
of
Paris
from
about
1393 to 1404, and was
last
heard
of at
Cologne
in 1418: see Antiqui und Moderni 1974, pp. 446, 455
(Gabriel).
For
Dorp's
commentary,
see
Buridan
1499.
32. For the
dating
of
this
work
see Scienza e filosofía 1983, pp. 90-1
(Bottin).
33. For a
list
of the
manuscripts
see
Bottin
1981, pp.
59-60.
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