philosophy discussion4
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Phil 2: Puzzles and Paradoxes
Prof. Sven Bernecker
University of California, Irvine
Explanations of
Moore‘s Paradox
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“Omissive“ because it self-reports a lack of true belief.
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(I believe that p & not-p) ≡ (not-p & I believe that p)
(not-p & I believe that p) ≡ (p & I believe that not-p)
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Omissive form: p & I do not believe that p
Commissive form I: I believe that p, but it is not the case that p
Commissive form II: p & I believe that not-p
Moore‘s Paradox
Moore‘s paradox is the problem
of explaining why Moorean
statements cannot be sincerely
asserted without absurdity.
Three Explanations of Moore’s
Paradox
• Moore’s explanation
• Wittgenstein’s explanation
• Baldwin’s explanation
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Thomas Baldwin
(1947-). British
philosopher who
teaches at the
University of York.
Moore‘s Explanation
Omissive form (p & I do not believe that p)
• Moore claims that in making a first-person present-tense
indicative assertion, one “implies“ that one believes it.
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Moore‘s First Principle (1942):
If one asserts that p, then one implies that one believes that p
• Since asserting a conjunction involves
asserting its conjuncts (assertion-
distribution), when I assert that (p & I don‘t
believe that p), I assert that p. Hence I
imply that I believe that p, which
contradicts the second conjunct of my
assertion. So what I assert contradicts
what I imply by asserting it.
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Commissive form (p & I believe that not-p)
• Given assertion-distribution, if I assert that (p & I believe
that not-p), then I assert that p. So I imply that I don‘t
believe that not-p, which contradicts the second conjunct of
my assertion. So what I assert contradicts what I imply by
asserting it.
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Moore‘s Second Principle (1944):
If one asserts that p, then one implies that one doesn‘t believe that not-p
• Given the two principles, both the omissive and the
commissive form are cases of implied and asserted
contradictions.
• In the omissive form I imply and assert that I do and don‘t
believe that p
• In the commissive form I imply and assert that I do and
don‘t believe that not-p
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Problems with Moore‘s Explanation
• Moore (1942: 542-3) claims that his first principle
• But then we should expect that performative contradictions
uttered by a known habitual liar do not sound absurd. But they
do! See the liar‘s paradox (Baldwin 2007: 77).
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“… arises from the fact, which we all learn by experience, that in the
immense majority of cases a man who makes such an assertion
does believe or know what he asserts: lying, although common
enough, is vastly exceptional“
• Moore (1942: 541) also says
• So, according to Moore, to assert
“It is raining but I don’t know that it is raining”
• would likewise be “absurd.” But it is not clear that it is absurd.
And if it is, the explanation differs. See lecture 11.3.
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“…the sense of ‘imply’ in question is similar to that in which, when a
man asserts anything that might be true or false, he implies that he
himself, at the time of speaking, believes or knows the thing in
question.”
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Wittgenstein‘s Explanation
• Wittgenstein claims that “‘I believe p’ means roughly the same as
‘p’” (1980a, §472). On this view, the absurdity of Moorean
statements lies in
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Wittgenstein’s First Principle:
If one asserts that one believes that p, then one asserts that p.
• This explains the absurdity of the
commissive assertion, for in asserting that
(p & I believe that not-p) I assert that I
believe that not-p and so assert that not-p,
which contradicts my assertion that p. So
although what I have asserted is not a
contradiction, my assertion of it involves
contradictory assertions.
• Wittgenstein’s first principle cannot explain the absurdity of the
omissive assertion. For in asserting that (p & I don’t believe that p) I
assert a lack of belief, to which Wittgenstein’s first principle cannot
apply.
• To deal with the omissive case (p & I don’t believe that p) we can
introduce a related principle:
• Given assertion-distribution, if I assert that (I don’t believe that p), I
deny that p which contradicts my assertion that p.
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Wittgenstein’s Second Principle:
If one asserts that one doesn’t believe that p, then one denies that p.
Problems with Wittgenstein‘s
Explanation
• On Wittgenstein’s Second Principle, an agnostic who truthfully
reports, “I neither believe that God exists nor believe that he
does not” would be making contradictory assertions. But he does
not.
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Baldwin‘s Explanation
• If I assert that p to you, then I have the primary intention that you will
come to believe that p by recognition of my intention.
• In so intending I have the secondary intention to make you believe that I
believe that p.
• But when I go on to assert, in the omissive case (p & I don‘t believe that
p), that I don‘t believe that p, my secondary intentions is to make you
believe that I don‘t believe that p.
• So I intend to make you form contradictory beliefs about what I myself
believe.
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• And when I go on to assert, in the commissive case (p & I
believe that not-p), that I believe that not-p, my secondary
intentions is to make you believe that I believe that not-p.
• So I intend to make you think that I have contradictory beliefs
about whether p.
• In either form of Moore‘s paradox the problem is that the
speaker has self-defeating intentions (see Baldwin 2007: 77-
8).
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Problems w. Baldwin‘s Explanation
• There are counterexamples to Baldwin‘s assumptions about
the intentional structure of assertion.
• A speaker can make an assertion without the intention of
thereby providing his audience with a reason for believing
what he asserts. Examples: when the speaker is being tested
by someone whom he takes to know the answers already.
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• A speaker can make an assertion with the intention of thereby
providing his audience with a reason for believeing the
opposite of what he asserts. Examples: sarcasm, irony (“This
is a brilliant idea,“ “Jones has beautiful handwriting“).
• Bladwin‘s explanation doesn‘t work for Moore‘s paradox in
thought.
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