# 1.Provide an example and explanation of the Circular Reasoning fallacy. 2: Provi

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1.Provide an example and explanation of the Circular Reasoning fallacy.

2: Provide an example and explanation of the Hasty Generalization fallacy.

3: Provide an example and explanation of the Slippery Slope fallacy.

4: Provide an example and explanation of the Straw Man fallacy.

5: Provide an example and explanation of the Ad Hominem fallacy.

6: Provide an example and explanation of the False Dichotomy fallacy.

7: Provide an example and explanation of the Appeal to Emotion fallacy.

8: Provide an example and explanation of the Equivocation fallacy.

9: Provide an example and explanation of the Bandwagon Appeal fallacy.

10: Provide an example and explanation of the False Analogy fallacy.

11: Create and explain a truth table for the given statement: q and p. Assume that p and q represent propositions.

12: Create and explain a truth table for the given statement: not q or p. Assume that p and q represent propositions.

13: Create and explain a truth table for the given statement: (p or q) and r. Assume that p, q, and r represent propositions.

14: Create and explain a truth table for the given statement: (not q) or (r and p). Assume that p, q, and r represent propositions.

15: Write the converse, inverse, and contrapositive of the following proposition: If Jon lives in Colorado, then he enjoys skiing. Of these four propositions, explain which pairs are equivalent.

16: Make up your own proposition. Write the converse, inverse, and contrapositive of your proposition. Of these four propositions, explain which pairs are equivalent.

17: make a Venn diagram with two overlapping circles (four regions) for two sets that represent Women and Mathematicians. Add the following names to the correct region:

Rosa Parks (1913 – 2005)

Isaac Newton (1643 – 1727)

Nelson Mandela (1918–2013)

Mary Somerville (1780 – 1872)

Blaise Pascal (1623 – 1662)

Emily Dickinson (1830–1886)

Dorothy Johnson Vaughan (1910 – 2008)

George Washington (1732–1799)

18: make Venn diagram with three overlapping circles (eight regions) for three sets that represent Cats, Dogs, and Birds. A survey was taken of 100 households asking what types of pets they have in their house with the following results:

28 households have Birds.

31 households have Cats.

42 households have Dogs.

9 households have Birds and Cats.

10 households have Birds and Dogs.

6 households have Cats and Dogs.

4 households have all three types of pets.

Answer the following questions:

How many households do not have any pets?

How many households have Birds, but not Cats or Dogs?

How many households have Cats and Birds but not Dogs?

19: Write one paragraph (5-8 sentences) reflecting on the following prompts:

What were the main mathematical concepts or ideas that you learned this week?

Describe a mistake or misconception that you or a classmate had in class. What did you learn from this mistake or misconception?

What were some of your strengths and weaknesses in this unit? What is your plan to improve in your areas of weakness?