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Why do philsophers use reason?
They believe it can help them solve problems, analyze concepts, and live the good life
What is an argument (Weston's Definition)
To give an argument means to offer a set of reasons or evidence in support of a conclusion.
Weston's Definition
To give an arguemnt means to offer a set of reasons or evidence in support of conclusion
-arugments are used to elucidate and explicate claims
-arguments are used to asses whether a claim is true or false (strong or weak)
-arguments are used to explain and defend claims
Arguments have two components:
1. Premises (reasons or evidence)
2. Conclusion (claim)
Premises
reasons or evidence
Conclusion
claim
Premise Indicators:
since
because
given then
for
Conclusion Indicators
therefore
so
as a result
it follows that
implies that
Two Types of Arguments:
Deductive and Inductive
Inductive
an argument in which the premises are claimed to support the conclusion in such a way that it is improbable that the premises be true and the conclusion false. THus, the conclusion is claimed to follow probably from the premises. (Strong or Weak)
Inductive Example
Socrates was Greek.
Most Greeks eat fish.
So, Socrates ate fish.
Inductive indicators
probably
likely
plausibly
Three Types of Inductive Arguments
1. Argument by analogy
2. Argument by authority (source)
3. Argument by cause
Inductive: Argument by analogy
Argument that depends upon the existence of an analogy, or similarity, between two things or state of affairs.
A is similar to B in relevant ways
B has property P
A has property P
Inductive: Argument from authority
Argument in which the conclusion rests on a statement made by some presumed authority or witness
R is a reliable authority regarding S
R sincerely assersts S
So, S
Inductive: Argument from cause
A causal claim is one that asserts that there is a relationship between two events such that one is the effect of the others.
X causes Y
Deductive
an argument in which the premises are claimed to support the conclusion in such a way that it is impossible that the preises be true and the conclusion false. Thus, the conclusion is claimed to follow necessarily from the premises. (Valid or Invalid)
Deductive Example
All men are mortal
Socrates is a man
So, Socrates is mortal
Deductive indicators
Necessarily
certainly
absolutley
Valid Argument
Argument such that it is impossible for the premises to be true and the conclusion false
Invalid Argument
Argument such that it is possible for the premises to be true and the conclusion false.
Deductive: Modus Ponens (MP)
Affirming the Antecedent
If P then Q
P
Therefore, Q
Deductive: Modus Tollens (MT)
Denying the Consequent
If P, then Q
not Q
Therefore, Not P
Deductive: Hypothetical Syllogism (HS)
If P then Q
If Q then R
Thus, If P then R
Deductive: Disjunctive Syllogism (DS)
P or Q
Not P
Thus, Q
Deductive: Dilemma (D)
P or Q
If P then R
If Q then S
Thus, R or S
Deductive: Affirming the Consequent
If P then Q
Q
Thus, P
Deductive: Denying the Antecedent
If P then Q
not P
Thus, not Q