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15 Cards in this Set

  • Front
  • Back
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A sound argument _______ has a true conclusion.
always
A sound argument is a deductive argument that is (1) valid and (2) has all true premises. What does this imply about the conclusion?
Every valid argument ______ has this feature: Necessarily, if its premises are true, then its conclusion is true.
always
Sound arguments are _______ valid.
always
A sound argument is a deductive argument that is (1) valid and (2) has all true premises.
Valid arguments _______ have a true conclusions.
sometimes
The premise(s) of a valid argument do lead conclusively to the conclusion but they might not be true. (Although every valid argument with true premises would have a true conclusion, valid arguments don't have to have true premises and, hence, don't all have true conclusions.)
Examples:
All gisbots are frammels.
All frammels are boatwaps.
So, all gisbots are boatwaps.

All cows are flying creatures.
All flying creatures are reptiles.
So, all cows are reptiles.
The premise(s) of a valid argument do lead conclusively to the conclusion but they might not be true. (Although every valid argument with true premises would have a true conclusion, valid arguments don't have to have true premises and, hence, don't all have true conclusions.)
Examples:
All gisbots are frammels.
All frammels are boatwaps.
So, all gisbots are boatwaps.

All cows are flying creatures.
All flying creatures are reptiles.
So, all cows are reptiles.
Valid arguments ____________ contain only false propositions.
sometimes
Example:
All cows are flying creatures.
All flying creatures are reptiles.
Therefore, all cows are reptiles.
This is valid because the premises lead necessarily to the conclusion; if the premises were true (try to imagine such a world), it is obvious that that world would be such that cows were reptiles.
Example:
All cows are flying creatures.
All flying creatures are reptiles.
Therefore, all cows are reptiles.
This is valid because the premises lead necessarily to the conclusion; if the premises were true (try to imagine such a world), it is obvious that that world would be such that cows were reptiles.
Valid arguments with all true premises ___________ have a true conclusion.
always
A cogent argument ____________ has a false conclusion.
sometimes
Although a cogent argument (strong with all true premises) has a conclusion judged to be probably true, it could in fact turn out to be false.
Although a cogent argument (strong with all true premises) has a conclusion judged to be probably true, it could in fact turn out to be false.
Deductive arguments that have all true premises and a true conclusion are __________ valid.
Sometimes.
Do you remember this invalid structure:
All A are C.
All B are C.
So, all B are C.
Any argument with that structure is invalid. Obviously it is invalid here:
All Dogs are Mammals.
All Cats are Mammals.
So, all Cats are Dogs.

But the following example with all true parts is still invalid:
All Dogs are Mammals.
All Dalmatians are Mammals.
So, all Dalmatians are Dogs.

An invalid argument might “accidently” have a true conclusion even if the conclusion did not follow necessarily from the premise(s). Consider:
Obama is President.
Therefore, George Washington was the 1st. President.
Do you remember this invalid structure:
All A are C.
All B are C.
So, all B are C.
Any argument with that structure is invalid. Obviously it is invalid here:
All Dogs are Mammals.
All Cats are Mammals.
So, all Cats are Dogs.

But the following example with all true parts is still invalid:
All Dogs are Mammals.
All Dalmatians are Mammals.
So, all Dalmatians are Dogs.

An invalid argument might “accidently” have a true conclusion even if the conclusion did not follow necessarily from the premise(s). Consider:
Obama is President.
Therefore, George Washington was the 1st. President.
A cogent argument ____________ has a false premise.
Never.
This follows from the definition of a cogent inductive argument: a strong argument with all true premises.
A deductive argument with true premises and a false conclusion is ________ valid.
Never.
By definition a valid deductive argument is one that has this characteristic: if the premise(s) are or were to be true, the conclusion would necessarily have to be true. So a deductive argument with true premises that does not have a true conclusion violates the definition of a valid argument.
By definition a valid deductive argument is one that has this characteristic: if the premise(s) are or were to be true, the conclusion would necessarily have to be true. So a deductive argument with true premises that does not have a true conclusion violates the definition of a valid argument.
An invalid argument is ____________ sound.
Never.
By definition a valid argument must be both valid and contain only true premises. So every invalid argument is unsound.
By definition a valid argument must be both valid and contain only true premises. So every invalid argument is unsound.
A deductive argument with all true premises and a true conclusion is _________ valid.
Sometimes.
Do you remember this invalid structure:
All A are C.
All B are C.
So, all B are C.
Any argument with that structure is invalid. Obviously it is invalid here:
All Dogs are Mammals.
All Cats are Mammals.
So, all Cats are Dogs.

But the following example with all true parts is still invalid:
All Dogs are Mammals.
All Dalmations are Mammals.
So, all Dalmations are Dogs.

An invalid argument might “accidently” have a true conclusion even if the conclusion did not follow necessarily from the premise(s). Consider:
Obama is President.
Therefore, George Washington was the 1st. President.
Do you remember this invalid structure:
All A are C.
All B are C.
So, all B are C.
Any argument with that structure is invalid. Obviously it is invalid here:
All Dogs are Mammals.
All Cats are Mammals.
So, all Cats are Dogs.

But the following example with all true parts is still invalid:
All Dogs are Mammals.
All Dalmations are Mammals.
So, all Dalmations are Dogs.

An invalid argument might “accidently” have a true conclusion even if the conclusion did not follow necessarily from the premise(s). Consider:
Obama is President.
Therefore, George Washington was the 1st. President.
A cogent argument is ___________ weak.
Never.
An inductive argument that is (1) strong and (2) has all true premises is cogent.
A cogent argument is an inductive argument that is (1) strong and (2) has all true premises.
Valid arguments are _______ sound.
Sometimes.
Valid arguments do not always have all true premises.
These valid arguments (they are valid because they have a valid structure) is not sound. [A sound argument is a deductive argument that is (1) valid and (2) has all true premises.]
All gisbots are frammels.
All frammels are boatwaps.
So, all gisbots are boatwaps.

All cows are flying creatures.
All flying creatures are reptiles.
So, all cows are reptiles.
Valid arguments do not always have all true premises.
These valid arguments (they are valid because they have a valid structure) is not sound. [A sound argument is a deductive argument that is (1) valid and (2) has all true premises.]
All gisbots are frammels.
All frammels are boatwaps.
So, all gisbots are boatwaps.

All cows are flying creatures.
All flying creatures are reptiles.
So, all cows are reptiles.
A strong argument _______ has a false premise.
Sometimes.
A strong argument has a conclusion that follows with at least 50% likelihood from the premises, but the premises may not be true.
A strong argument has a conclusion that follows with at least 50% likelihood from the premises, but the premises may not be true.