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What is a fallacy?
the use of invalid and faulty reasoning in the construction of an argument which can appear stronger
informal fallacy
an error in reasoning other than the improper logical form
valid fallacy
flaw in structure of a deductive argument
Argument def
group of propositions consisting of two reasons (premises) and a conclusion
proposition def
a judgement statement that is either true or false
conditional statement def
“if.. then..” judgement
antecedent
component of judgement right after “if”
consequent
component of judgement right after “then”
term def
“sign” of a concept
argument example
all koi are carp
this fish is a koi
therefore, Hanoko is a carp
good arguments
premises support conclusion
bad arguments
premises do not support conclusion
deductive argument
if premises are true, conclusion is true
(Universal —> particular conclusion)
inductive argument
if the premises are true, then conclusion is likely true
(particulars —> universal conclusion)
valid arg
deductive arg where its impossible for premises to be true and conclusion to be false
invalid arg
deductive arg where it is possible for premises to be true and conclusion to be false
sound arg
deductive arg that is valid and all premises are true
unsound arg
deductive arg that is either invalid, at least one false premise, or both
universal proposition
all or none subjects are ____
particular prop
some subjects are ____
A claim
All S are P
E claim
No S are P
I claim
Some S are P
O claim
Some S are not P
Which claims are affirm/neg
affirm = A and I
neg = E and O
3 terms of arguments
major = predicate of conclusion
middle = links premises
minor = subject of conclusion
Distribution of terms : A claim
subject
distribution of terms : E claim
both subject and predicate
distribution of terms : I claim
nothing
distribution of terms : O claim
predicate
distribution of terms acronym
Any Student Earning Bs Is Not On Probation
a claim = S
e claim = both
i claim = none
o claim = P
rules for validity
1 = three pairs of terms
2 = middle term is distributed at least once
3 = term distributed in conclusion, is also distributed in a premise
4 = no two neg premises
5 = if premise is neg, conclusion is neg
hypothetical syllogism
if A, then B
conditional statements must come with a second premise that either..
affirms A or denies B
if second premise does what, then it is a fallacy
denies A or affirms B
strong inductive arg
is it improbable that premises be true and conclusion be false
weak inductive arg
conclusion probably does not follow premises