Fallacies
Truth Tables
Sets and Venn Diagrams
Evaluating Arguments
Critical Thinking
100

Determine the logical fallacy:

Disneyland is the best park because it's better than all other theme parks

Circular Reasoning

100

Determine whether the statement is a proposition:

3=0.01

Yes, it is a proposition

100

Write the following set in set notation: 

The set of integers from -5 to 0 (not inclusive)

{-4,-3,-2,-1}

100

an argument that makes a case for a general conclusion from more specific premises, and therefore cannot prove its conclusion true is ___________

An inductive argument

100
Does the statement make sense:

Although the plane crashed in Nevada, the survivors were buried in California

No, the survivors of a plane crash wouldn't be buried

200

Determine the fallacy:

There's no proof that note taking is related to academic performance, so note taking does not improve test scores

Appeal to Ignorance

200

Construct a truth table for proposition p and q. For the condition "p and not q", how many true values are there?

1

200

Write the union of the set of integers from 0 to 5 and from 10 to 15, (inclusive)

{0,1,2,3,4,5}U{10,11,12,13,14,15}

200

An argument that makes a case for a specific conclusion from more general premises is__________

a deductive argument

200

A tiktoker claims in a video that light pollution is going to destroy the forests. Should you trust this claim.

No. You don't know the tiktoker's sources, and light pollution doesn't directly effect forests

300
Determine the Fallacy:

You either love Star Wars or you love Star Trek

Limited Choice

300

What is the inverse of the proposition "if my homework is done, I will play video games?"

if my homework is not done, I will not play video games
300

Citrus is a subset of fruit, so on a venn diagram a circle representing citrus should be drawn

a. separate from the circle for fruit

b. partially overlapping the circle for fruit

c. completely inside the circle for fruit

c. completely inside

300

Inductive arguments are evaluated by their________

Strength

300

Bill Nye says the world is on fire. Should you trust his claim?

While he probably understands how global warming and the greenhouse gases works, to say the world is on fire is a bit dramatic. Also he only has a BS in Mechanical Engineering

400

Determine the Fallacy:

A principal of a school proposes a school-wide rule banning cell phone use during class time in order to eliminate distractions to learning. A student says to another student, "The principal must hate technology, because he's banning cell phones for no reason!"

Straw Man

400

What is the contrapositive of the statement: if I study, then I will get an A

if I do not get an A, then I did not study
400
If there are 10 students, 5 are boys, 5 students are employed, and 3 of the students that are employed are boys, how many girls are unemployed

400

Deductive arguments are evaluated on whether it is ______ and whether it is _______

Valid; sound

400

Your professor says your grade is 10% participation, 10% homework, 30% assessments, and 50% the final exam. Does this make sense?

Yes, it's a bit harsh but that is a common grade breakdown for college and the percentages add up to 100%

500
Determine the Fallacy: 

I saw three people use food stamps to buy expensive steaks, so abuse of food stamps must be widespread.

Hasty Generalization

500
Construct a truth table for p and q. Are the following statements logically equivalent?

Not(p and q) ; Not (p) and Not (q)

No

500

Construct a venn diagram for the set of blood types

{A+, B+, AB+, 0+, A-, B-, AB-, 0-}

(check venn diagram)

500

A mathematical proof is done with what kind of argument?

deductive

500

Two fathers and two sons had breakfast together. Each person ate 1 egg. Collectively, they ate 3 eggs. How is this possible?

There are only 3 people eating breakfast: A grandfather, a father, and a son. The father is both a father to his son, and a son to the grandfather.