Title: A Caution on Reconstruction
1A Caution on Reconstruction
- The Treatment of a disjunctive statement and a
conditional statement
2Treatment of a disjunctive statement and of a
conditional statement
- Consider the following statements
- Either Red Sox or Yankees will win the World
Series. - You are a philosopher or have a good partner.
- These sentences are called disjunctive
statements. - One caution in reconstructing an argument is that
you should never break a disjunctive statement or
a conditional statement (if-then statement) into
two separate premises or conclusions.
3An Argument that Involves a Disjunctive Statement
- Consider the following argument
- As a side you order either a cup of soup or a
bowl of salad. You order a bowl of salad. So you
do not order a cup of soup. - Is it OK to reconstruct the argument as follows?
- As a side you order a cup of soup.
- As a side you order a bowl of salad.
- You order a bowl of salad.
- ????????????????
- You do not order a cup of soup.
4Dont break a disjunctive statement into separate
premises or conclusions
- A disjunctive statement does not state that both
alternatives are true. - However, putting the alternatives separately
indicates that both of them are true. - This is why we should not separate a disjunctive
statement into two separate premises or
conclusions. - The argument on the last slide should be
reconstructed as follows - As a side you order either a cup of soup or a
bowl of salad. - You order a bowl of salad.
- ????????????????
- You do not order a cup of soup.
5An Argument that Involves a Conditional Statement
- Consider the following argument
- Makoto will repeat the same mistake. Makoto is
stupid. And if Makoto is stupid, he will repeat
the same mistake. - Is it OK to reconstruct the argument as follows?
- Makoto will repeat the same mistake.
- Makoto is stupid.
- Makoto is stupid.
- ????????????????
- Makoto will repeat the same mistake.
6Dont break a conditional statement into separate
premises or conclusions
- One problem the reconstruction breaks a
conditional statement into a premise (Makoto is
stupid) and the conclusion (Makoto will repeat
the same mistake). - A conditional statement neither asserts that the
if-part is true, nor asserts that the other part
is true. - It just asserts that the if-part being true makes
the other part true. - However, putting the if-part and the other part
separately indicates that they are separately
true. - This is why we should not break a conditional
statement into two lines in the reconstruction of
an argument.
7The Correct Reconstruction
- Makoto is stupid.
- If Makoto is stupid, he will repeat the same
mistake. - ????????????????
- Makoto will repeat the same mistake.
8Continued
- In particular, dont make the mistake of taking
the if-part of a conditional to be a premise and
the other part to be the conclusion. - For example, consider If a man wonders whether
he loves his girlfriend, he does not love her
anymore. - You should not take this to be an argument like
this - A man wonders whether he loves his girlfriend.
- ----------------------------
- A man does not love his girlfriend anymore.
9Other Ways of Making Conditional Statements
- Assuming that, provided that etc. have the
same function as if, i.e., making a conditional
statement. - So dont break the sentences involving assuming
that, provided that etc. into two separate
lines in reconstruction.
10Incompletely Stated Arguments
11Incompletely Stated Arguments
- Many arguments in common usage are incompletely
stated one or more of the premises/conclusion is
not stated explicitly.
12Importance of Completely Stating Arguments
- When checking whether an argument is good or bad,
you should state it as completely as possible.
Why? - Because hidden premises, when exposed, often turn
out to be false. - For example, consider the following argument
- Your tires have made the coast-to-coast drive
six times without trouble. Your tires should hold
out for this coast-to-coast drive. - The most plausible candidate of the hidden
premise is - Most of the tires that have made the
coast-to-coast drive six times without trouble
will hold out for another coast-to-coast drive. - Because tires wear away, this hidden premise is
implausible.
13How to Completely State Arguments 4
Considerations
- Supply only the premise or conclusion that the
speaker intends to uphold. - Dont supplement a premise or conclusion that the
speaker does not intend to uphold. - Because we are reconstructing the speakers
argument, we should not attribute to him what he
does not upholds.
142. A supplemented premise must make clear why the
explicitly stated premise supports the conclusion.
- Consider this argument Because Sam is an OSU
student, she is from Ohio. - Is Sams parents were also OSU students a good
candidate for the missing premise? - No. Because it does not connect the explicitly
stated premise (Sam is an OSU student) with the
conclusion (Sam is from Ohio), so the speaker
might not uphold it as being true. - In this case, Most of the OSU students are from
Ohio makes clear why Sam is a OSU student
supports Sam is from Ohio, and so it is a good
candidate for the missing premise.
153. Supplement a premise that is as plausible as
possible
- To explain this requirement, consider the
argument Because I am cool, I am popular. - Does the premise provides a reason for accepting
the conclusion? - As this illustrates, a premise can provide a
reason for a conclusion only if it is more
plausible than the conclusion itself. - Because an arguer presumably intends to provide a
reason, The good reconstruction of her argument
supplements a plausible premise.
164. Putting all and only necessary details in the
supplied premise
- Suppose I give you the following argument
- Makoto has no car and wears rags.
- ----------------------------
- Makoto is not rich.
- This argument is incomplete there is a missing
premise. What is it? - Probably, Most people who have no car and wear
rags are not rich. - Notice that this one is better than the following
alternatives - Most people who have no car are not rich.
- Most people who wear rags are not rich.
- These sentences fail to utilize some info in
Makoto has no car and wears rags. This
deficiency deprives the argument of some
strength. - How about the alternative Most people who have
no car and wears rags and have black hairs are
not rich? - This involves the additional element people
having black hairs are not rich, which the
speaker does not intend to say. This excessive
version is an implausible interpretation of the
intended argument.
17Summary
- Supply only the premise or conclusion that the
speaker intends to uphold. - A supplemented premise must make clear why the
explicitly stated premise supports the
conclusion. - Supplement a premise that is as plausible as
possible. - Putting all and only necessary details in the
supplied premise.
18Incompletely Stated Arguments An Example
- Example Makoto is a Japanese. So, we may
conclude that Makoto is a karate expert. - This argument is missing a premise. What?
- A clue it is a generalization.
- The answer
- All Japanese are karate experts.
- Or more plausibly Most Japanese are karate
experts. - (Well, both of them are false.)
19Arguments Completely Stated
- Makoto is a Japanese.
- Most Japanese are karate experts.
- ???????????????????? Makoto is a karate expert.
20Separating Arguments
21Separating Arguments
- Sometimes a passage includes more than one
conclusion. - Ex.1 Participant Arguments on p. 24 of Salmons
book - Ex.2 Lenins Arguments on pp. 24-5 of Salmons
book. - In such a case, it is important to distinguish
premises for one conclusion from premises for
another conclusion. - Thus, in restating such a passage in standard
form, you should separate it into arguments with
different conclusions. - This often requires you to write one sentence
twice first as a conclusion of one argument,
second as a premise of another argument. - Let me show how the above two passages can be
reconstructed in standard form.
22Participant Arguments (on p. 24 of Salmons book)
in Standard Form
- Argument A
- In 1998, the average life expectancy for U.S.
women at age 65 was 19.2 years, compared with
15.7 years for men. -
- Women tend to live longer than men.
- Argument B
- In 1996, women who worked full-time, year-round
earned only 74 cents for every dollar earned by
men. -
- On average, women earn less than men.
-
23Continued
- Argument C
- A 1997 survey found that 49 percent of women had
employer-sponsored pensions compared with 70
percent of men, and only 45 percent of women had
401(k) retirement plans compared with 59 percent
of men. -
- Women have less pension coverage than men.
- Argument D (the Main Argument)
- Women tend to live longer than men.
- On average, women earn less than men.
- Women have less pension coverage than men.
-
- Women need to invest more for retirement.
- Note that the premises in Argument D are the
conclusion of Argument A, B and C.
24Lenins Arguments in Standard Form
- Argument A
- There can be no talk of an independent ideology
formulated by the working masses themselves in
the process of their movement. -
- The only choice is either bourgeois or socialist
ideology. - Argument B
- The only choice is either bourgeois or socialist
ideology. -
- To belittle the socialist ideology in any way,
to turn aside from it in the slightest degree
means to strengthen the bourgeois ideology. - Note that There is no middle course is omitted
because it is a mere rephrase of The only choice
is
25Separating Arguments Another Example
- Mars would be the next logical niche for human
expansion in the universe. Why Mars? Clearly,
Mars will have priority in any manned solar
system exploration program because it offers the
least severe environment for humans. Due to its
atmosphere, its accessible surface, its probable
availability of water and its relatively moderate
temperatures it is the most hospitable of all
the planets other than earth. Moreover, Mars
resources include materials that could be adapted
to support human life, including air, fuel,
fertilizers, building materials and an
environment that could grow food. James M. Beggs
26Pay Attention to Indicator Words!
- Where can you find indicator words?
- Mars would be the next logical niche for human
expansion in the universe. Why Mars? Clearly,
Mars will have priority in any manned solar
system exploration program because it offers the
least severe environment for humans. Due to its
atmosphere, its accessible surface, its probable
availability of water and its relatively moderate
temperatures it is the most hospitable of all
the planets other than earth. Moreover, Mars
resources include materials that could be adapted
to support human life, including air, fuel,
fertilizers, building materials and an
environment that could grow food.
27Identifying Premises P Conclusions C
(Yellowed are irrelevant or repetitious parts.)
- (CA) Mars would be the next logical niche for
human expansion in the universe. Why Mars?
(Repetition of CA) Clearly, Mars will have
priority in any manned solar system exploration
program because (PA1 CC) it offers the least
severe environment for humans. Due to (PB1) its
atmosphere, (PB2) its accessible surface, (PB3)
its probable availability of water and (PB4) its
relatively moderate temperatures (CB PC1) it
is the most hospitable of all the planets other
than earth. Moreover, (PA2 CD) Mars resources
include materials that could be adapted to
support human life, including (PD1) air, (PD2)
fuel, (PD3) fertilizers, (PD4) building materials
and (PD5) an environment that could grow food.
28Separating ArgumentsEx. Reconstruction
- Notice that in the reconstructed argument in the
course packet, phrases in the original passage
that are premises are restated in complete
declarative sentences. - Notice also that repetitious parts of the passage
are eliminated in reconstruction.
B
D
Intermediate Conclusion (CBC1)
C
Intermediate Conclusion (CCA1)
A
Intermediate Conclusion (CDA2)
Main Conclusion (CA)
29Procedure for Reconstructing Everyday Arguments
Seven Steps
- Step 1 Identify each inferential step (the
conclusion and each premise). In order to succeed
in the identification, you should ask two
questions we discussed and pay attention both to
indicator words and to the context the argument
is given. - Step 2 Identify any sentence that should be
omitted because it is repetitious or irrelevant
to the argument. Illustrations and emotionally
appealing premises that are neither premises nor
the conclusion, are irrelevant. - Step 3 Omit such a sentence.
30Procedure for Reconstructing Everyday Arguments
(Continued)
- Step 4 Rewrite premises and conclusions in
complete declarative sentences, e.g., rewrite
rhetorical questions and non-sentential phrases. - Step 5 Identify any places where premises and/or
conclusions are missing. - Step 6 Determine the most appropriate statements
to serve as the missing premises and/or
conclusions. - Step 7 Write the argument in standard form.
31Two Questions in order to Recognize Arguments
- First question what point is the author or
speaker trying to make? - This identifies the potential conclusion.
- Second question what support (or intended
support) has the author or speaker provided for
that claim? - This identifies the potential premises.