## Critical Thinking and Logic in Mathematics

Critical Thinking and Logic in Mathematics

Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

·         Not C / B- Critical Thinking and Logic in Mathematics

If x = 1 and y = 2, what can be said about z if z = xy?

·         If z = xy, then z = 2.
- Critical Thinking and Logic in Mathematics

Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the total degrees of a square?

·         If triangles have 180 degrees in total, then squares have 360 degrees in total.
- Critical Thinking and Logic in Mathematics

f the following two propositions are true, which is a true statement?

Theresa loves dogs.

Spot is a dog.

·         If Spot is a dog, then Theresa loves Spot.
- Critical Thinking and Logic in Mathematics

If a = c and b = c, what kinds of new statements can you make?

A: If a = c and b = c, then a = b.

B: If a = 1, then b = 1.

C: If b = 2, then a = 1.

·         A and B
- Critical Thinking and Logic in Mathematics

Which statement is an example of circular reasoning?

·         The moon is made of cheese because the moon is made of cheese. - Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice

What kind of reasoning does the statement below illustrate?

·

My phone starts to ring whenever my cat starts to purr.

·         False cause
- Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice

What kind of logic is presented below?

Your dog loves rock and roll music because my dog loves rock and roll music.

·         Hasty generalization
- Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice

What kind of reasoning uses two unrelated events to prove a point?

·         Faulse Cause - Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice

If someone asked you to choose between two candidates for president, but there were still five candidates running for president, what kind of logical fallacy is that?

·         Limited choice
- Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice