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Logic
1
30
Philosophy
Undergraduate 1
01/26/2011

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Term
Logic is
Definition
the study of methods for evaluating whether the premises of an argument adequately supports its conclusion.
Term
An Argument is
Definition
a set of statements where some of the statements, called premises, are intended to support another, called the conclusion.
Term
A statement is
Definition
a declarative sentence that is either true or false.
Term
A Deductive Argument is
Definition
one in which the premises grantee the conclusion.
Term
An Inductive argument
Definition
is one in which the premises are intended to make the conclusion probable, without guaranteeing it.
Term
A valid argument is
Definition

one that in which it is necessary that the premises are true, then the conclusion is true.

 

Premises are true.

Conclusion is true.

Term
An invalid argument is
Definition
one in which it is not necessary that, if the premises are true, then the conclusion is true.
Term
A sound argument is
Definition
a valid a argument in which all of the premises are true.

Valid + All premises True = Sound
Term
An unsound argument is
Definition
one that either is invalid or has at least one false premise.
Term
An Argument form is
Definition
a pattern of reasoning.
Term
A substitution instance of an argument form is
Definition
an argument that results from uniformly replacing the variables in that form with the statements (or terms).
Term
A valid argument form is
Definition
one in which every substitution instance is a valid argument.
Term
Modus Tollens
Definition

If A, then B

Not B

So Not A

 

 

If Not 1

Term
Modus Ponens
Definition

If A then B

A

So B

 

If 1

Term
Hypothetical Syllogism
Definition

If A then B

If B then C

so of A then C

 

If 2

Term
Disjunctive Syllogism
Definition

Either A or B

Not A

So B

 

or

 

Either A or B

Not B

So A

 

 

Either Not

Term
Constructive Dilemma
Definition

Either A or B

If A then C

If B then D

So either C or D

 


Either 2

Term
A strong argument is
Definition

probable, but not necessary that, if the premises are true, then the conclusion is true.

 

A term used similarly to valid, but for inductive arguments, because it doesn't have to guarantee that the conclusion follows the premise, only probable.

Term
A weak argument is
Definition

one in which it is not probable that, if the premises are true, then the conclusion is false.

 

Even in the premises are true, it's probable that the conclusion is false.

Term
A cogent argument is
Definition

a strong argument in which all of the premises are true.

 

Strong + All Premises True = Cogent

Term
An uncogent argument is
Definition
one that is either weak or strong, with at least one false premise.
Term
Inductive logic is
Definition
concerned with the study of methods or evaluating arguments for strength and weakness.
Term
Deductive logic is
Definition
concerned with the study of methods of evaluating arguments for validity and form.
Term
A counterexample is
Definition

a substitution instance in which the premises are true but the conclusion is false.

 

Used to invalidate an argument.

Term
An invaild argument form is
Definition
one that has some invalid substitution instances.
Term
Fallacy of Denying the Antecedent
Definition
If A, then B
Not A
So Not B
Term
A good counterexample to an argument form is
Definition
a substitution instance in which the premises are well-known truths and the conclusion is a well-known falsehood.

Used for showing a form is false.
Term
Fallacy of Affirming the Consequent
Definition
If A, then B
B
So A
Term
A categorical statement is
Definition
a statement that relates two classes or categories, where a class is a set or collection of things.
Term
A term is
Definition
a word or a phrase that stands for a class of things.
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