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SPEAKER 1: Since arguments
are at the heart of logic
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and argumentation, it's natural
to start with this question.
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The first thing to
say about arguments
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is that as this term
is used in logic,
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it isn't intended
to imply anything
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like an emotional confrontation.
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Like when I say that an
argument broke out at a bar,
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or I just had a huge
argument with my parents
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about my grades or something.
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In logic, an argument
is a technical term.
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It doesn't carry any
connotation about conflict
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or confrontation.
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So here's our definition.
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It'll have the three parts.
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First part, an argument is a
set of claims or statements.
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We'll have more to say about
what a claim or statement is
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later, but for now,
it's enough to say
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that a claim is the
sort of thing that
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can be true or false.
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Next part, one of the
claims is singled out
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for special attention.
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We call it a conclusion.
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The remaining claims
are called premises.
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And finally, the premises are
interpreted as offering reasons
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to believe or accept
the conclusion.
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That's it.
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That's the definition
of an argument.
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Now let's have a look at one.
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All musicians can read music.
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John is a musician.
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Therefore, John can read music.
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These are the premises,
and this is the conclusion.
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Premises one and two are
being offered as reason
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to accept the conclusion
that John can read music.
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This may not be a particularly
good argument, actually,
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since that first premise makes
a pretty broad generalization
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about all musicians that isn't
very plausible, I don't think.
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I'm sure there are a few
great musicians out there that
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don't read sheet music, but
it's an argument nonetheless.
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Now, notice how
it's been written.
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The premises are each numbered
and put on separate lines,
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and the conclusion is
placed at the bottom
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and set off from the rest by a
line and flagged with the word
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therefore.
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This is called putting an
argument in standard form,
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and it could be useful when
you're doing argument analysis.
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In ordinary language, we
almost never are this formal,
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but when you're trying to
analyze arguments, when you're
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investigating your
logical properties,
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or considering whether the
premises are true or not,
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putting an argument
in standard form
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can make life a lot easier.
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And just to
highlight this point,
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here's another way of
saying the same thing.
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Can John read music?
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Of course.
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He's a musician, isn't he?
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These actually express
the very same argument,
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but notice how much
easier it is to see
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the structure of
the argument when
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it's written in standard form.
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In the second version
in yellow here, you
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have to infer the conclusion
John can read music
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from the opening question
and the of course part,
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and you have to fill
in an assumed premise.
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What you're given is
Jon is a musician,
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but the conclusion only follows.
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If you assume that all
musicians, or most musicians,
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can read music,
which is not given.
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It's just a
background assumption.
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The argument only makes
sense because you're
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filling in the background
premise automatically,
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but you can imagine
that this might become
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a problem for more
complex arguments
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where you can't always be
sure that everyone is filling
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in the same background premise.
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So the standard
form can be helpful,
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and we're going to be using
it a lot in this course.
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Here are the takeaway points
to remember from this.
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First, an argument is
just a set of claims
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that are offered as reasons
to believe or accept
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another claim.
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Second, we saw that
the same argument can
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be written in more than one
way, and in general it's
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true that the same argument
can be written or expressed
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in many different ways
using different words,
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different sentences, and
different sentence structure.
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Now, because of
this, it is often
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helpful to put arguments
in standard form
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where you can clearly identify
which parts of the argument
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are functioning as
the premises and which
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part is the conclusion.
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And you make all the premises
and background assumptions
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explicit by writing
them on separate lines.
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Being able to do
this is actually
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an important skill in logic.