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
- 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 thing 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.
- There 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 says that it is rather the type
of statement that is the locus of ambiguity.
- Brown points out evidence that it's about the type, 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 there is also another term that each pair of b's and c's
shares: 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.
- 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, so 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 notes 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"
- apparently Brown means "K is L" and "K is not L" to refer to
facts of the matter by means of statements rather than
simply being statements.
- What is needed is a clear account of what statement is.
- The account is really 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 of 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.