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A valid argument is often defined as one in which it is not

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A valid argument is often defined as one in which it is not [#permalink] New post 01 Oct 2003, 20:55
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A valid argument is often defined as one in which it is not possible
for all the premises to be true and the conclusion false. A circular
argument is sometimes defined as one in which one of the premises is
identical to the conclusion. From these definitions we can infer
that...

A) Every circular argument is valid as long as its premises are true.

B) Every valid argument is circular.

C) No circular argument is valid.

D) Some circular arguments are valid, and some are not.

E) Some circular arguments are not valid, and some valid arguments
are not circular.
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Re: A valid argument is often defined as one in which it is not [#permalink] New post 28 Dec 2011, 19:13
A valid argument is often defined as one in which it is not possible
for all the premises to be true and the conclusion false. A circular
argument is sometimes defined as one in which one of the premises is
identical to the conclusion. From these definitions we can infer
that...

A) Every circular argument is valid as long as its premises are true.

B) Every valid argument is circular.

C) No circular argument is valid.

D) Some circular arguments are valid, and some are not.

E) Some circular arguments are not valid, and some valid arguments
are not circular.


============================================================

I'm trying to break this statement into parts:

"valid argument is often defined" ==> some valid arguments are defined

" A circular argument is sometimes defined" ==> some circular arguments are defined

so the statement according to me becomes:

Some valid argument are defined as one in which not all the premises are true and not all the conclusion are false.
Some circular argument are defined as one in which one of the premises is identical to the conclusion.

The first statement becomes
A(valid args) ==> not B (true premise) & not C (false conclusion)
which implies B & C ==> not A.
i.e. True premise and false conclusion can sometimes mean that the argument is not valid.

The second statement becomes
Some circular argument are defined as one in which one of the (tru/false) premises is identical to the (true/false) conclusion.

Thus, some circular arguments are not valid and some valid arguments are not circular.

Please help me understand if my interpretation is wrong.
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Re: A valid argument is often defined as one in which it is not [#permalink] New post 29 Dec 2011, 06:52
A) Every circular argument is valid as long as its premises are true. 

Wrong on many counts! A circular can have identical conclusion and premise. Valid arguments cannot have all it's premises as true.

B) Every valid argument is circular. 

Wrong! A circular has a premise that is identical to conclusion.  Valid arguments can have no identical premise and conclusion.

C) No circular argument is valid. 

Wrong!  A circular argument can have premises that are T T F and a conclusion that is F.  Then, that is valid.

D) Some circular arguments are valid, and some are not. 

Correct! Like in C, circular could be valid. And not valid in this case where premises are F T T and conclusion is T.

E) Some circular arguments are not valid, and some valid arguments 
are not circular.

Wrong! Like my explanation in C.  Circular can be valid.
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Re: A valid argument is often defined as one in which it is not [#permalink] New post 29 Dec 2011, 21:06
gmatprodigy wrote:
A) Every circular argument is valid as long as its premises are true. 

Wrong on many counts! A circular can have identical conclusion and premise. Valid arguments cannot have all it's premises as true.
Actually, its the other way around. The argument says that a valid argument's conclusion must be true if the premises are true. A circular arguments conclusion is one of its premise. If all the premises are true then conclusion is one of the premises which is also true. Hence a circular argument is valid as long as its premises are true.

B) Every valid argument is circular. 
Not necessarily true. An argument may be valid without having a conclusion that is identical to the premise.

C) No circular argument is valid. 
Circular argument can be valid as long as all its premises are true.

D) Some circular arguments are valid, and some are not. 
Could be. But, this is not necessarily an inference from the statements above.

Interesting question dug up from valley of dead threads.. :)

E) Some circular arguments are not valid, and some valid arguments are not circular.
Again, the statements above do not give us a reason enough to conclude that some circular arguments have to be invalid. Some valid arguments are not circular, could very well be true, but not an inference from the statements in the question.

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Re: A valid argument is often defined as one in which it is not [#permalink] New post 29 Dec 2011, 23:04
Yeah..I m going through the CR questions 1-by-1 from old threads...I believe practice is all I need..and I plan to post queries as when I get stuck.
Re: A valid argument is often defined as one in which it is not   [#permalink] 29 Dec 2011, 23:04
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