based on Lesley Brown's 'The Sophist
on statements, predication, and falsehood' in OHP
expansions here and there are mine: do not assume all of this is
Brown's. Also, if you are interested in this material, please read
Brown's article, which has a great deal more detail and subtlety
than what comes through here.
- Striking features of the Sophist.
- The middle is in striking contrast to the "outer parts"
- The outer parts: (beginning to 237) The efforts to
define what a sophist is, including the 7 "definitions"
(summarized at 231c-233d) and the "method of division"
- Ostensibly, the dialogue is an effort to say what a
sophist is, but it's not clear to those who take it
seriously philosophically that it accomplishes that or
whether it does so in a philosophically interesting way.
- the "method of division" is perhaps interesting as a
way to classify, and classifying is a very important way
to understand the world.
- also, there is a big problem with "persuasion,"
because it can create confidence and strength of
conviction, and that is certainly a part of any
discussion about belief or knowledge.
- BUT persuasion does not need truth or accuracy. Thus
while it creates conviction and strength of belief, it
does not necessarily create true or reliable or
accurate belief.
- 223a: the sophist is the person who exchanges virtue
or some other excellence for money: it looks like
education. The sophist markets his wares (virtue and
other skills) and then teaches those who decide to
purchase his wares (there were no female sophists that
I know of, although Diotima or Aspasia might be
mentioned here).
- note that in ancient Greece, there was not a clear
division between lawyers, legislators, politicians,
marketing experts, etc. The sophist basically claimed
to teach all those sorts of skills.
- Brown thinks there is no successful attempt to define
sophist in the dialogue and that one problem with that is
the assumption that sophistry is an expertise.
- The middle, starting at 237: the efforts to untangle false
statements, predication, being, the five great kinds, etc.
- This middle is presented as a digression, but it
contains what most people think is the most interesting
part of the dialogue.
- Brown concentrates on two problems and thinks that the
Eleatic Stranger offers a solution to both
- The "Late-learners'" problem: also called the
Opsimath's problem
- The problem of false statement
- The mode of presentation is a character presenting
teachings, also known as 'didactic'
- The Eleatic Stranger (henceforth ES) is teaching: this is
not like the Republic
where the fiction is that it is a joint inquiry. Here, ES
teaches
- A clear reference to the Parmenides at 217c: seems
like the Sophist must have been written after the Parmenides.
It's setting is the day after the Theaetetus.
WHAT ARE WE TALKING ABOUT IN THE CENTRAL SECTION OF THE SOPHIST?
How 'common' things (remember the Theaetetus) such as
'change' and 'being' and 'sameness' and 'difference' relate to
each other and to other things and how we talk about that in a
correct way. How true and false statements work and what kinds of
statements there are and how they relate to reality.
- Some interesting moments I noticed, but are not necessarily
discussed in Brown. I.e. some extra highlights for this class:
- 227b: the Eleatic Stranger says that the menial, everyday
skills are no more nor less to be considered and analyzed than
the elevated, sophisticated skills: compare the Parmenides,
when Parmenides told Socrates that he would eventually come to
think there is a form of mud, hair, and other lowly or
"ridiculous" things.
- 228b-229a: partition of soul and analysis of vice and virtue
via symmetry/dissymetry in the soul: disease versus deformity
as two types of evil.
- no soul is voluntarily ignorant of anything?
- ignorance is perversion of process of understanding
- answer to all vice is education: either correcting
education or exercising education
- 230b and f.: description of Socratic method?
- and they refuse to call that sophistry at 231a
- 237c: the impossibility of identifying "nothing"
- 238e or even referring successfully to "nothing"!
- this is a moment when you have to say "but it's obvious
that we can talk about things that are not" and so think
that there MUST be something wrong here, some puzzle to be
solved! OR a common idea (that we can think/discuss what
is not) to be discarded
- 242d-243b ++: a vague description of all the presocratic
philosophers: elementalists, strife v. love, monists, etc. No
names given, but clearly referring to Heraclitus, Anaximander,
Anaximenes, Xenophanes, Parmenides, Zeno, etc.
- The upshot is that talking of "everything" or "reality" is
just about as impossible and self-contradictory as talking
about "nothing"!#%*@?&!
- The structure of the middle part (the part Brown analyzes) 237
and following:
- NOTE WELL: the 10 points listed right below this bullet
point are not meant to be easily understood or
self-explanatory: they are like a table of contents rather
than an attempt to explain the contents. After this list, you
will find some of the points explained in the rest of these
notes.
- Problems about not being or what is not (237d-241c)
- Resolve: to show that what is not really is in some
respect, and that what is really is not in some way
(241d-242a)
- Problems about being (242b-251a)
- Upshot: we're in as much difficulty about what is as we
are about what is not (250e)
- do names exist in addition to what they name? if so,
then the all as a name exists and the all as the referent
exists, and so there are two things, not one thing, and
the referent does not include all? The name cannot be the
same as the thing, because then it cannot be the name of
something, says ES at 244d. Why can't it be the name of
itself? well, then we can ask whether the name is all
there is to it? if so, then there is nothing else. If not,
then it is at least two things, two separate things, and
the person trying to refer to everything at once failed.
- could its name be a part of itself?
- a thicket of difficult arguments that shimmer between
being profound and being silly, but are more likely
profound.
- they add up to the claim that talking about reality is
no more clear or obvious or not puzzling than talking
about nothing.
- A new problem: the Late Learners' prohibition on saying that
one thing is many things (251a-c)
- "Partial mixing" must be the correct one of three possible
theories, since we can rule out "no-mixing" (Late Learners)
and "total mixing" (251d-253b)
- Greatest Kinds: A Four point program laid out (254b-d2)
- Five "greatest kinds" selected (point 1) and proofs offered
that they are five (254d-255e) (point 2)
- Points 3 and 4: The Communion of Kinds--investigation of how
change combines with the other four kinds; demonstration that
change is and is not being; and that being is, in a way, not
being (255e-257a)
- Negation, negative expressions, not being and the parts of
difference (257b-258e)
- Upshot: we have shown that, and what, not being is
(258e-259e)
- Remaining tasks: to show what statement is and that
falsity in statement, judgement, and "appearing" is possible
(260a-261b)
- What statement (logos)
is; the difference between "names" and "verbs" and between
naming and saying (261c-262e)
- True and false statements (262e-263d)
- False judgement and false "appearing" (263d-264b)
- Late Learners (point iii above)
- "ES: Well, when we speak of a man we name him lots of
things as well, applying colors and shapes and sizes and
vices and virtues to him, and in these and thousands of
other ways we say that he is not only a man but also good
and many other things. And so with everything else: though
we assume that each thing is one, by the same way of
speaking we speak of it as many and with many names.
- Tht. What you say is true.
- ES This habit of ours seems to have provided a feast for
the young and some old folk who've taken to studying late in
life. For anyone can weigh in with the quick objection that
it is impossible for what is many to be one and for what is
one to be many, and they just love not allowing you to call
a man good, but only the good good and the man a man. I dare
say, Theaetetus, that you often meet people who are keen on
that sort of line. Some of them are getting on in years, and
their intellectual bankruptcy makes them marvel at that sort
of thing and suppose that in this they have made an
exceptionally clever discovery."
- Brown's summation of the late-learners:
- They allow only identity statements
- They do not allow predication, or "sharing in"
- Plato's task here is to explain predication in order to
show that it is possible that a thing can be what it is not:
- "K is L" and "K is not L" are both true statements
(because K is different from L).
- For example: the two statements "Human is a species."
and "Human is not a species" are both true!
- "Human is a species" is true if it is a predication
sentence and means that there is a species to which
humans belong and 'human' refers to that species and
that there is such a thing as species, many of them,
among which is the human species, and so human is a
species.
- Predication attributes one thing to another in a
specific way.
- often it means "L is in the set of things that are
L"
- "Human is not a species" is true if it is an identity
sentence and means that there is a species 'human' and
there is such a thing as a species, but human refers to
a particular species whereas species refers to the
generic type that species refers to, and the particular
human species is not the same thing as the generic type
species.
- Identity statements are like equations in math.
- They mean that K and L are the same thing, that they
are identical.
- This is not so much about the meaning of "is" but rather
a problem about types of sentences: identity sentences
versus predications. Whether the sentence has "is" in it
is not decisive, but many such sentences do have 'is' in
them.
- Others have said that Plato here uses a distinction between
an "is" of identity and and "is" of predication and thereby in
meeting the late-learners' argument also solves a problem that
Gottlob Frege later re-solved.
- Brown rejects the notion of a special sense of "is" for
identity in Plato (and probably elsewhere).
- But that interpretation is not really a bad one, just not
Brown's preferred one. It may still be in play.
- "Communion of Kinds" as the solution to the Late-Learners'
problem (point vi above)
- Point iv above: "Partial mixing" must be the correct one of
three possible theories, since we can rule out "no-mixing"
(Late Learners) and "total mixing" (251d-253b)
- Greatest Kinds: A Four point program laid out (254b-d2)
- draws analogy between letters and kinds: some letters
combine with others, some do not: vowels act in certain
ways, enabling the joining of letters. Vowels join with
any letter, consonants do not.
- Point v above: Five "greatest kinds" selected and proofs
offered that they are five (254d-255e) (i.e. points 1 and 2 of
the four point program)
- Five greatest kinds are being, change, rest, stability,
same, different.
- Here, ES promises to say how they combine and promises
that will help get a grasp of being and not being, which
in turn will show how it is safe to say both "K is L" and
"K is not L".
- PLATO'S FOUR "QUARTETS"
- 1a change is different from stability
- 1b so, change is not stability
- 1c but Change is (in a stable way and therefore Change
is stable)
- 1d because Change shares in being
- 256a3-b1
- 2a Change is different from the same
- 2b so Change is not the same
- 2c but Change is the same
- 2d because Change shares in the same
- GOT TO ROUGHLY HERE
- 256c5
- 3a change is different from different
- 3b so change is not different
- 3c but change is different
- 3d because change shares in different (not in text)
- 256d5
- 4a Change is different from being
- 4b so change is not being
- 4c but change is being
- 4d because change shares in being
- the pattern:
- a K is different from L
- b so K is not L (denial of identity between K and L,
since it follows from a)
- c but K is L (L is predicated of K, as shown by
paraphrase at d)
- d because K shares in L
- Apparent contradiction between b's and c's above
- the contradiction occurs because each of the Kinds can
be either an adjective (as in c's) or a noun (as in b's)
- this argument, however, is not about parts of speech:
rather it is about what underlies them: some things out
there in the world can be thought of or referred to by a
noun (an isolated being) or thought of or referred to by
an adjective (a being that bears some relation to
another being)
- given that the contradiction is only apparent, it can
still be true that "K is L" and "K is not L" because L is
used in different ways in each of those sentences.
- Brown maintains this is about sentence types, not about
different senses of "is"
- the types are identity statements versus predication
- Identity statements look like "X=X": example "I am
Jacques" or "X=some thing appearing to be other than X
that really refers to the same thing as X" "I am the
father of Isidora"
- Predication statements look like X + a predicate:
examples "I am male," "I ride bike," "My sandwich smells
funny."
- I.e. they are a subject plus the rest of a simple
sentence, where what the rest of the sentence refers to
is not identical with the subject.
- And yet, contrary to Brown, here are those who distinguish
between senses of "is" to solve the problem between the b's
and the c's
- They claim that in "K is L," the "is" is one of
predication, whereas
- In "K is not L" the "is" is one of identity
- Gottlob Frege made a distinction like this which is
famous (I won't speak to it: it's beyond my scope here and
beyond my area in general)
- Those who champion this interpretation say that "is" is
the common element between the b's and c's and is the
locus of ambiguity.
- Brown points out evidence that it's about the type
of statement, not the "is":
- the way Plato phrases the b's and c's and their
difference does not actually always use "is" or anything
like it at crucial places. Thus it cannot really be
about uses of "is."
- Brown's solution has two versions:
- Owen's version: the word "is" is common to the b's and
the c's, but each pair of b's and c's shares another term:
in 2b and 2c for example, they share "same," and that is a
locus of ambiguity.
- Greek does not say "This is the same" but rather "this
is same," which enables the ambiguity: were Greek
parallel to English and required "the," the problem
would dissolve.
- In other words, "same" is an adjective in one and a
noun in the other, and there is no ambiguity, but there
appears to be in Greek, but not in English.
- Brown cites as support of this version that it makes
better sense of some otherwise difficult lines:
- ES: and if this very thing, change, were to
participate in any way in stability, it would not be
at all odd to call it stable (adjective)
- Tht: Very true, if we are to agree that some of the
kinds are willing to mix with one another and others
are not (256b6-10)
- ES is saying that change does NOT share in
stability, but IF it did, it would not be odd to
call it stable.
- The Greek draws attention to the difference
between "stability" and "stable" in a way that it
cannot/does not do with the other terms, so Plato may
be drawing attention to the adj./noun distinction
here.
- Others object to Brown's interpretation by pointing
out that the meaning of both adjectives and nouns that
are paired up is fixed: they refer to Forms, and so the
ambiguity cannot be located in that difference.
- Brown's more modest version:
- Brown will settle for the observation that the
sentences are of different forms: one is an identity
statement, the other is a predication, and that will
suffice.
- What is more, the objections that apply to Owen's
solution do not apply to this more modest version.
Those objections are ...? that the difference
between adj. and noun is not a good thing to hang
one's hat on?
- Frede's alternative (Michael Frede, not Dorothea)
- The ambiguity is in the verb "is," but it's not one of
"identity" versus "predication"
- The ambiguity is between an is that "is" referring to
what a thing is in itself VERSUS one referring to what a
thing is in relation to something else.
- Did you note the interesting parallel between what
"Young Socrates" in the Parmenides wanted (an
explanation of how the one itself is also its
opposite?
- Socrates is white (not insofar as he is himself, but
in relation to color)
- BUT
- The color white is white (in itself and not in
relation to something else)
- So the difference seems to be between predicates that
are analytic of a term versus those that are synthetic, if
I may use those words.
- Brown objects that 1b (change is not stability) would
have been "Change is not in itself stability" if Frede's
alternative were right
- that is not the case, and the most natural
interpretation of 1b is that it is a non-identity
statement, not that it is a predication.
- Unfortunately, this appears to me to be quibbling and
perhaps this is a difference without a distinction.
- but there is also a strong likelihood that I have
misunderstood a nuance here
- There are those who find this whole problem of the
late-learners phenomenally silly and not worthy of Plato
- Brown points out that we can point to serious
philosophers in antiquity and modernity who maintained
something like the late-learners thesis:
- the late learners problem rests on one or both of the
following
- a metaphysical view of what the world consists in
- a view of language that sees naming as the only
function of bits of language
- There is also a problem in that the Late learner's
statements are all about particulars, but ES' statements are
all about kinds.
- Brown points out that in either case, we have statements
that one thing is many things AND that it is what it also
is not.
- The claim that particulars are many things fits fine
with Plato's metaphysics, BUT the claim that kinds are
many things does not fit so clearly, and Plato concerned
himself with kinds.
- The account of false statement
- Brown skips over vii above, which was:
- Negation, negative expressions, not being and the
parts of difference (257b-258e)
- Upshot: we have shown that, and what, not being
is (258e-259e)
- Remaining tasks: to show what statement is and
that falsity in statement, judgement, and
"appearing" is possible (260a-261b)
- She does note that it concludes with the claim to have
found what not being is
- Showing that kinds mix solved the problem of "K is L"
and "K is not L" both being true.
- But showing that kinds mix is not enough to solve the
problem of false statements.
- Because 'statements' are something different than their
referents: statements that "K is L" and "K is not L" are
different from what is meant by "K is L" and "K is not L"
- one big difference would be that if statements have a
single reference that they relate to, then they either
successfully refer or they don't (back to the problem
that Theaetetus and flying both successfully refer, but
flying Theaetetus does not), while insofar as they are
examined and considered as statements, truth or falsity
is at issue, not reference.
- apparently Brown means that "K is L" and "K is not L"
to refer to K's that actually are (not) L by means
of statements in addition to simply being
statements.
- What is needed is a clear account of what statement is.
- The account is really just a start, an account of what
predication is, not an account of all statements.
- If other statements are reducible to basic
predication, then the Sophist
accomplishes something quite important.
- But surely conditionals, conjunctions, disjunctions,
etc. are not simply reducible to predications.
- Still and all, an account of basic predication is
pretty important.
- This section of the dialogue (261c-264b) is the section
that most people agree is the most serious contribution of
the Sophist
- There are words used to name kinds, but words and kinds
are not the same as each other.
- Words are divided by this dialogue into two varieties:
'names' and 'verbs' (aka "predicates").
- "verb" means not the part of speech, but rather
"predicate," whatever is being applied to the subject of a
statement, whether that is a verb, a copula plus an
adjective, or something else.
- examples of such 'verbs' are:
- "is running"
- "met Joe at the restaurant"
- "exists"
- "is not white"
- "has an unusually shaped blemish on its left upper
nostril"
- "names" are not just proper names, but any word that
refers to something and can be the subject of a statement.
- Examples of "names" are"
- "Joe"
- "Humans"
- "Being"
- "This"
- "Despicability"
- "Dining"
- can they also be more than one word? e.g. "Joe's
sister's Humvee"? That seems reasonable.
- A statement is a combination of a name and a verb.
- Names alone can't form statements
- neither can verbs alone.
- interweaving a name with a verb succeeds in saying
something
- The account of false statement
- So "Theaetetus sits" and "Theaetetus flies" are both
statements.
- One is false, the other true.
- Because out there in reality, outside of language, it is
not the case that Theaetetus flies, but it is the case
that Theaetetus sits.
- The false one says different things about Theaetetus
than the things that are in reality.
- That is, it says of things that are not that they are.
- But it also says things that are but are different
from what is true about Theaetetus.
- "...flies" is a perfectly real phenomenon that
applies to all sorts of things that really do fly.
- it's just that in reality, Theaetetus does not fly.
- The true one says something that concerns you and is.
- This deals nicely with the claim in the Theaetetus that
speaking falsely is simply not speaking.
- Remember how the Theaetetus argued for that: it
said that saying is like touching. Touching what is not is
not touching at all. I think we said "grasping what is not
is not grasping at all"
- The problem with that approach is that it treats
touching as a unified thing that is incomposite (cannot be
taken apart and analyzed by components), and it treats
stating the same way. For touching, that analysis seems to
work, but the Sophist's
account of stating makes it a composite thing: stating mixes
a noun with a verb. So there are at least three
things there: the noun, the verb, and the mixing act. The
noun can be and the verb can be, but the mixture of the
two may not be.
- Thus one can successfully make a statement that is false
by mixing a noun and a verb together. The noun secures the
reference of the statement, and the verb does refer to
something, but that something does not hold true of that
noun.
- 263b7: "The false statement says different things from the
things that are."
- This amounts to saying that the false one says things
that are not.
- We can replace the plurals with singulars to make things
clearer/simpler:
- The false one says something different from what is.
- A false start: What if I say "Theaetetus is talking"
while Theaetetus is sitting.
- I have said something that is different from
something that is about him.
- But he may be talking AND sitting.
- So it can't be the case that Plato is claiming that
simply stating one thing of a subject that is
different from some thing that is true of the subject
is a false statement.
- Better options:
- The Oxford Interpretation: Crivelli as well as
Keyt opt for this one
- A false statement says something about a subject
that is different from everything that is
about the subject.
- Maybe even better: A false statement mixes
something with a subject, but that something is
not in the set of all things that are about the
subject.
- The incompatibility interpretation:
- A false statement says something about a subject
that is incompatible with what is about him.
- Both options provide a working solution to the
problem of false statements and how they can occur and
be statements. They solve the problem slightly
differently.
- There are objections to each:
- The Oxford interpretation:
- supplies an "every" which has no counterpart in
the Greek.
- and does not go well with 263d1-4, which
contains a formula for false statements:
- Namely, 263d1-4 says that in a false
statement, "concerning you, different things are
said to be the same, and not beings are said to
be beings."
- We can substitute singulars: "concerning you,
something different is said to be the same, and
something that is not is said to be something
that is."
- To make the Oxford Interpretation work, Brown
says, we need to supply a few things: "something
different from
everything that is is said to be the
same as
something that is."
- Brown finds this awkward, "impossibly
awkward", but admits that it gives a fine
solution.
- In reply to Brown's 'awkwardness' objection,
one might point out that much of the Sophist
just is incredibly awkward. It's subject
matter is incredibly difficult to talk clearly
and precisely about.
- The Incompatibility interpretation:
- It requires Plato to mean two things with the
one Greek word "heteron" (same word as is found in
"heterosexual" or "heterodoxy"). At most places,
it needs to mean simply "different," but then at
another point, it needs to mean "incompatible,"
which is a specific kind of otherness, not just
generic otherness.
- I Plato is using a word to mean two different
things within one argument, he is guilty of what
is called "equivocation." It renders arguments
invalid. Bad stuff, logically.
- That would be problematic.
- Brown's suggestion:
- Modify the Incompatibility Interpretation slightly:
- "Incompatibility range"
- Earlier, at 257b1-c3, ES distinguished between
what is contrary (enantion) and what is just
different (monon
heteron): he introduced the idea of a
range of incompatibility options:
- What is not F may not be the contrary of F,
but may still be something (within a certain
range of things) that is not F
- For example, the ball that is not white may
not be black, but may be red, which is still
not white, and yet is not the contrary of
white.
- And maybe the incompatibility range would
not include being pizza-like or having
little fuzzy bits on its ears: it could be
confined to colors?
- Another example: what is "not large" is not
necessarily small. It is just some size other
than large: it might be "medium-sized."
- And what is not large would not be just
anything that is not large, like my mother's
memory of her long dead brother or the
temperature of the ground in a specific
place, which are both not large in a way.
- A range of incompatibles may have any number
of members.
- So, we take the incompatibility interpretation
(A false statement says something about a subject
that is incompatible with what is about him.) and
substitute back in "different," which is what the
Greek heteron
has meant all along.
- BUT in doing so, we can import the distinction
made at 257b1-c3 which says that "different" may
refer to a range of options which are mutually
incompatible.
- To sum up, let's look at the two accounts of
false statement we've looked at before:
- One is 263b7: The false one says different
things from the things that are.
- Here, "different" means "something in the
relevant incompatibility range"
- The other is at 263d: in a false statement,
"concerning you, different things are said to be
the same, and not beings are said to be beings."
- Brown now thinks this second one will work
without any awkwardness or equivocation, if we
mean by "different" things that are within the
incompatibility range.
- An objection to Brown's Idea:
- This gives Plato a necessary, but not sufficient,
condition for false statement.
- "Virtue is a square" is false, but virtue is not
some other "different" thing within the same
incompatibility range as "square."
- Other examples of such false statements: "Ted
divides without remainder into 1000" or "The square
root of 6 looks like a pizza" or "My Aunt Margie has
been fitted out on her upper deck with an externally
mounted gun that can fire at a rate of 600 shells
per minute and a range of 15 miles." or "The kitchen
floor wants to be loved for itself, not its money."
- Thus Brown's idea does not cover the ground well
enough: it does not account for false statements that
use inappropriate "verbs" of "nouns."
- "The book is reproducing at a fast rate" or "My
hair enjoys cheeseburgers" are both such false
statements: there is no "verb" within the
incompatibility range of "reproducing at a fast
rate" that applies to any book, and similarly with
my hair and enjoying cheeeseburgers.
- What if we say that in that case, the Oxford
Interpretation works? The objections to it still
stand as an interpretation of Plato, but it might
work independently of whether or not Plato thought
of it...
- Brown thinks this is a serious objection, but she
thinks Plato is in good company:
- At a 1929 conference on negation, published as The Proceedings of the
Aristotle Society IX (supplement), 1929,
the following exchange occurred:
- Gilbert Ryle made the same mistake: "when a
predicate is denied of a subject, that predicate
must always be thought of as one member of a
disjunctive set, some other member of which set
(not necessarily specified) is asserted to be
predicable of the subject."
- Price objected that "virtue is not a square" and
"the soul is not a fire shovel" were both
meaningful and true, but resisted analysis in
terms of incompatible properties.