Critical Thinking: Key Concepts and Fallacies, Exams of Philosophy

A concise overview of critical thinking concepts, including propositions, arguments, and fallacies. It defines key terms such as deductive and inductive arguments, formal and informal fallacies, and cognitive biases. The document also includes examples and acronyms to aid understanding and memorization, making it a useful resource for students studying logic and reasoning. It covers topics such as confirmation bias, anchoring bias, and various fallacies of relevance and presumption, offering a structured approach to learning critical thinking skills. This is a good study material for university students.

Typology: Exams

2025/2026

Available from 11/05/2025

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D265 Critical Thinking (STUDY THIS
ONE!)
1.
PROPOSITIONS:
Are
statements
that
can
be
true
or
false
2.
NON-PROPOSITONS:
Are
sentences
that
are
not
statements
about
matters
of
fact
or
fiction.
They
do
not make a claim that can be true or false.
3.
SIMPLE
PROPOSITIONS:
Have no internal logic structure, meaning whether they are true or false does
not
depend
on
whether
a
part
of
them
is
true
or
false.
They
are
simply
true
or
false
on
their
own.
(Example:
Harry
Potter
wears glasses. The sky is blue.)
4.
COMPLEX
PROPOSITIONS:
Have
internal
logic
structure,
meaning
they
are
composed
of
simple
propo-
sitions.
Whether
they
are
true
or
false
depends
on
whether
their
parts
are
true
or
false.
(Example:
The
sky
is
blue,
but it
does
not
look
blue
to
me
right
now.
The
cat
ate
the
food,
but
he
did
not
like
it.
The
GDP
of
Canada
is
either
$3
trillion
or $12 trillion.)
5.
CONCLUSION
INDICATORS:
THEREORE, IT FOLLOWS THAT, AS A RESULT, THUS, & CONSEQUENTLY.
Acronym
to
remember:
ACT
IT
As a result
Consequently
Therefore
It follows that
Thus
6.
PREMISE
INDICATORS:
BECAUSE,
FOR,
GIVEN
THAT,
AS,
SINCE,
AS
INDICATED
BY
&
WHEREAS.
pf3
pf4
pf5
pf8
pf9
pfa

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D265 Critical Thinking (STUDY THIS

ONE!)

1. PROPOSITIONS: Are statements that can be true or false

2. NON-PROPOSITONS: Are sentences that are not statements about matters of fact or fiction. They do not make a claim that can be true or false.

3. SIMPLE PROPOSITIONS: Have no internal logic structure, meaning whether they are true or false does not depend on whether a part of them is true or false.

They are simply true or false on their own. (Example: Harry Potter wears glasses. The sky is blue.)

4. COMPLEX PROPOSITIONS: Have internal logic structure, meaning they are composed of simple propo-

sitions. Whether they are true or false depends on whether their parts are true or false. (Example: The sky is blue, but it does not look blue to me right now. The cat ate the food, but he did not like it. The GDP of Canada is either $3 trillion or $12 trillion.)

5. CONCLUSION INDICATORS: THEREORE, IT FOLLOWS THAT, AS A RESULT, THUS, & CONSEQUENTLY.

Acronym to remember: ACT IT As a result Consequently Therefore It follows that Thus

6. PREMISE INDICATORS: BECAUSE, FOR, GIVEN THAT, AS, SINCE, AS INDICATED BY & WHEREAS.

2 / Acronym to remember: FAB SWAG For As Because Since Whereas As indicated by Given that

7. DEDUCTIVE ARGUMENTS: Arguments where the premises guarantee or necessitate the conclusion.

-mathematical arguments, logical arguments, arguments from definition.

8. INDUCTION ARGUMENTS: Arguments where the premises make the conclusion probable.

-analogies, authority, causal inferences, extrapolations, etc.

9. INFERENCE TO THE BEST EXPLANATION OR ABDUCTION: Arguments where the best available explanation is chosen as the

correct explanation.

10. FORMAL FALLACY: Concerns the structure of an argument

11. INFORMAL FALLACY: Concerns the informational content of an argument

12. A FORMAL FALLACY IS A TYPE OF: Bad Argument Structure

13. PRINCIPLE OF CHARITY: The principle of charity suggests we should try to understand ideas before criticizing them.

14. CONFIRMATION BIAS: the tendency to interpret new evidence as confirmation of one's existing beliefs or theories.

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23. Anchoring / Adjustment bias: Anchoring bias is a cognitive bias that causes us to rely too heavily

on the first piece of information we are given about a topic. When we are setting plans or making estimates about something, we interpret newer information from the reference point of our anchor, instead of seeing it objectively.

24. selection bias: A polling error in which the sample is not representative of the population being studied, so

that some opinions are over- or underrepresented

25. sound argument: Soundness: An argument is sound if it meets these two criteria: (1) It is valid. (2) Its premises are true.

26. valid argument: A valid argument is an argument in which the conclusion must be true whenever the hypotheses are true. EX: "It rains only if I

carry an umbrella" can be rewritten as "If it rains, then I carry an umbrella." "All citizens of Egypt speak Arabic." can be rewritten as "If someone is a citizen of Egypt, then they speak Arabic."

27. unsound argument: An unsound argument is either an invalid argument or a valid argument with at least

one false premise. EX: All dogs are mammals. Therefore, dogs are cows. The above argument contains true premises, but it is invalid since the conclusion doesn't logically follow from the premises. Therefore, it is also an unsound argument.

28. strong argument: A strong argument is a non-deductive argument that succeeds in providing probable,

but not conclusive, logical support for its conclusion.

29. cogent argument: A cogent argument is an inductive argument that is both strong and all of its premises are true.

30. uncogent argument: An uncogent argument is an inductive argument that is either weak or has at least one false premise.

31. Denying the Antecedent: If A then B Not A

Therefore, not B = INVALID Example: If I'm in Rome (A), Then I'm in Italy (B). I'm not in in Rome (A).

5 / Therefore I am not in Italy (B). =INVALID

32. Affirming the Consequent: is a logical fallacy that involves taking a true statement and assuming the converse form would be true as well.

Formally, we can represent this fallacy as follows: If X is the case, then Y is also the case. Y is true, so X must be true as well.

33. cognitive bias: When our brains take a quick way of making decisions or understanding things, but that

quick way can lead to errors in judgment.

34. availability: estimating the likelihood of events based on their availability in memory; if instances come readily to mind (perhaps because of their

vividness), we presume such events are common EX: two girls saw a plane crash on the news and cancel their flight presuming they will meet the same fate.

35. Principle of Charity: we should choose the reconstructed argument that gives the benefit of the doubt to

the person presenting the argument

36. the fallacy fallacy: assumes that if an argument contains a logical fallacy, then its conclusion must be false.

37. Inference: A conclusion one can draw from the presented details. EX: "if there is a storm, then the oflce is closed." means "if the oflce is closed, then I

don't go to work."

38. weak argument: a non-deductive argument that fails to provide probable support for its conclusion.

39. Representativeness Bias: A faulty heuristic strategy based on the presumption that once people or events are categorized, they share all the

features of other members in that category.

40. Alief: An automatic belief-like attitude that can explain how our instinctual responses can conflict with our reasoned-out beliefs.

41. Ad Hominem Fallacy (Fallacy of Relevance): someone attacks the arguer instead of the argument.

("Attacks the Homie")

42. Genetic Fallacy (Fallacy of Relevance): arguer critiques the origin of a claim or argument rather than the claim or argument itself. NOT

7 /

2 My cousin saw someone take on the characteristics, personality, and voice of a spirit during a ceremony.

3 My cousin told me that she saw this last week.

56. Mapping Independent Support: (1) This test is easy.

(2) Linda got an A on the test and

(3) Maise got an A on the test and

(4) Francisco got an A on the test.

57. Mapping Conjoint Support: (1) You are behaving unfairly.

(2) You are giving more to some than to others and

(3) giving more to some than to others is not fair.

58. Conjoint Example: (1) Government mandates for zero-emission vehicles won't work because

(2) only electric cars qualify as zero-emission vehicles, and

(3) electric cars won't sell.

(4) They are too expensive,

(5) their range of operation is too limited, and (6) recharging facilities are not generally available.

59. Using Downward Braces: (1) The president may have their faults, but

(2) they are an outstanding leader and(3) we should re-elect them.

8 /

(4) Their foreign policy has brought about respite from violence in various war torn regions as

(5) They sent in troops to protect refugees in Rwanda and

(6) They negotiated an armistice between two middle eastern countries.

(7) Their economic policy has also been largely successful in that

(8) a potential recession has been avoided for now.

(9) They are also a great moral leader as

(10) Theirs is a model family and

(11) They demonstrate true integrity daily.

60. 3-layer Argument: 3-layer

61. begging the question: the premise and the conclusion are the same, only worded ditterently.

62. Modus Ponens: If A, then B A

is true Therefore, B is true = VALID Example: If I'm in Rome (A), then I'm in Italy (B). I am in Rome (A). Therefore I am in Italy (B).

63. Modus Tollens: If A, then B. B

is not the case.

10 / true?: If the answer is "yes," then the argument is sound. If the answer is "no," then the argument is unsound. you will focus on the content (words) of the argument. To do this, add the word "is" to each premise.

70. For inductive arguments, ASK: IS premise one and premise two actually true?: If the answer is "yes," then the

argument is cogent. If the answer is "no," then the argument is uncogent.

71. Arguments about the future

tense tend to be arguments.: Inductive

72. If/Then statements, also known as "conditional

arguments" or hypothetical syllogisms are always almost arguments.: Deductive

73. If an argument is invalid, then it is also

.: Unsound

74. If an argument is weak, then it is also .:

Uncogent