- Main
Paradox in Thought and Natural Language
- Jerzak, Ethan
- Advisor(s): MacFarlane, John;
- Yalcin, Seth
Abstract
Around 600BC, Epimenides, a Cretan apparently discontented with the
honesty of his compatriots, lamented that all Cretans are liars.
Together with a few innocent assumptions, well-entrenched principles
of logic entail that Epimenides' lamentation cannot be true, and yet
cannot be untrue---a flat contradiction. What's gone wrong? In this
dissertation, I argue that the source of the problem has been
misdiagnosed as one about language (especially formal languages). The
problem runs deeper, and stems from the structure of thought itself.
The dissertation proceeds in two main stages. The first stage
(Chapter 2) makes the case that that the intuitions that underlie the
paradoxes come from natural languages, not from formal/mathematical
ones. The Liar and related paradoxes are generally presented as
constraints on the latter. Their lesson, the story goes, is that no
formal theory strong enough to represent the primitive recursive
functions can include a satisfactory truth predicate. I argue that
it's our natural-language competence with the truth predicate that
underlies our understanding of what 'satisfactory' means here, which
shifts the focus of the project to natural language semantics. In this
domain, it's tempting to think (and many have thought) that the
problem with Epimenides' utterance is that it fails to express a
proposition, and this failure explains why we have trouble assigning
it a truth-value. Or, perhaps it does express a proposition, but not
the one that it seems to express. Or, perhaps it can express a
proposition, but which proposition it expresses depends on context. I
argue that all such responses fail, in part because they cannot make
sense of related attitude attributions. I can believe or disbelieve
Epimenides, which wouldn't be possible if his utterance didn't express
the proposition it seems to express.
In the second stage, I argue that such paradoxes arise, not from the
language/thought interface, but rather from thought itself. The first
step in this argument concerns knowledge attributions (Chapter 3),
where I develop and defend a novel solution to the Knower paradox.
Then I move from attitude attributions to attitudes themselves
(Chapter 4). Just as sentential truth and knowledge predicates gives
rise to paradoxical sentences, seemingly innocent combinations of
beliefs and desires give rise to paradoxical propositions---even when
those beliefs and desires are not expressed in language. The
possibility of such pathological combinations isn't accounted for by
any extant theory of mental content, and, I argue, provides support
for a non-classical theory. Finally (Chapter 5) I consider an
objection to these putative combinations of desires. I introduce what
I call /advisory/ desire reports, which seem to exhibit the radically
externalist behavior that the previous chapter rejects. I conclude by
offering reasons to think that the availability of these readings does
not undermine the case for non-classical accounts of attitudes.
Main Content
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