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Chapter 2: Moral Reasoning
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Moral Reasoning
A set of reasons and a conclusion that these reasons are meant to support
Argument
A set of reasons and a conclusion
Logical Validity
The feature of an argument that guarantees the truth of its conclusion, on the assumption that its premises are true
Sound Arguments
a valid argument with true premises
3 part test to separate a valid argument from an invalid one
Identify all of an arguments premises
Imagine all of them are true
Then ask yourself: supporting that all of the premises are true, could they conclusion be false?
Sound arguments contain only
true premises
Arguments are valid or invalid, sound or unsound, NOT
true or false
Sufficient Condition
to guarantee (being human is a sufficient condition of being mammal)
Necessary Condition
requirements (having $ is a necessary condition of being a millionaire)
Biconditional
a claim that supplies a condition that is both necessary and sufficient for something
Modus Ponens
P → Q
P
∴ Q
Modus Tollens
P → Q
⊥ Q
∴ ⊥ P
Hypothetical Syllogism
P → Q
Q → R
∴ P → R
Fallacy
a mistake in reasoning
formal fallacy
a kind of argument all of whose instances are logically invalid
fallacy of denying the antecedent
P → Q
⊥ P
∴ ⊥ Q
fallacy of confirming the consequent
P → Q
Q is True
P is True
Ad Hominem Fallacy
Occurs when you try to undermine a position by attacking the person who is advancing it.
Appeal to irrelevant emotions
Someone tries to convince you of a claim by playing on your emotions.
Appeal to authority
Relying on authority figures to substantiate a position outside their area of expertise.
Straw Man Fallacy
Depicts an opponents position in a way that makes it easy to refute, thereby diverting attentions from the real position being advanced.
Appeal to Ignorance
When one thinks a claim is true because it hasn't been proven false
When one thinks a claim is false because it hasn't been proven true
Hasty Generalizations
Occurs when someone illicitly draws a general lesson from only a small handful of cases