Math 1332 Section 1D

Math 1332 Section 1D

Analyzing Arguments

https://www.youtube.com/watch?v=lzxVyO6cpos

Multiple Choice

1. a.) All flamingos have feathers.

Rewrite as: If [p] then [q]

• If [the creature is a flamingo] then [it has feathers].

• If [it has feathers] then [the creature is a flamingo].

Multiple Choice

1. a.) All flamingos have feathers.

Multiple Choice

1. b.) All feathered creature are flamingos.

Rewrite as: If [p] then [q]

• If [the creature is a flamingo] then [it has feathers].

• If [it has feathers] then [the creature is a flamingo].

Multiple Choice

1. b.) All feathered creatures are flamingos.

How to fill out the assignment.

Multiple Choice

1. c.) If you have a ticket, then you can get in to see Up.

Multiple Choice

1. d.) If you get in to see Up, then you had a ticket.

Multiple Choice

1. e.) It is necessary for the No. 10 to strike out in order for the Mud Hens to win the game.

Rewrite as: If [p] then [q]

• If [No. 10 strikes out] then [Mud Hens win the game].

• If [the Mud Hen win the game] then [No 10. struck out].

Multiple Choice

1. e.) It is necessary for the No. 10 to strike out in order for the Mud Hens to win the game.

Multiple Choice

1. f.) It is sufficient for No. 10 to strike out for the Mud Hens to win the game.

Rewrite as: If [p] then [q]

• If [No. 10 strikes out] then [Mud Hens win the game].

• If [the Mud Hen win the game] then [No 10. struck out].

Multiple Choice

1. f.) It is sufficient for No. 10 to strike out for the Mud Hens to win the game.

Don't forget to complete 1g and 1h.

Multiple Choice

2. a.) If you have an iguana, then you have a reptile.

Fill in the Blank

2. a.) If you have an iguana, then you have a reptile.

Write the converse.

Fill in the Blank

2. a.) If you have an iguana, then you have a reptile.

Write the inverse.

Fill in the Blank

2. a.) If you have an iguana, then you have a reptile.

Write the contrapositive

Multiple Choice

2. b.) If hell freezes over, then I will root for the Aggies.

Fill in the Blank

2.b.) If hell freezes over, then I will root for the Aggies.

Write the converse.

Fill in the Blank

2.b.) If hell freezes over, then I will root for the Aggies.

Write the inverse.

Fill in the Blank

2.b.) If hell freezes over, then I will root for the Aggies.

Write the contrapositive.

Be sure to finish up 2c.

Multiple Choice

Part 3. First question.

Premise 1: All pigeons are messy.

Rewrite as a conditional. (If p, then q.)

• If it is a pigeon, then it is messy.

  p: It is a pigeon.

  q: It is messy.

• If it is messy, then it is a pigeon.

  p: It is messy.

  q: It is a pigeon.

Multiple Choice

Premise 1: All pigeons are messy.

Venn Diagram

Multiple Choice

Premise 2: Tweety Pie is a pigeon.

p: It is a pigeon.

q: It is messy.

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Premise 2: Tweety pie is a pigeon.

Multiple Choice

Conclusion: Therefore Tweety Pie is messy.

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Conclusion: Tweety Pie is messy.

• Valid

• Invalid

Filling out the worksheet.

Multiple Choice

Part 3: Next Question

Premise 1: All integers are real numbers.

• If a number is an integer, then it is a real number.

  p: A number is an integer.

  q: A number is a real number.

• If a number is a real number, then it is an integer.

  p: A number is a real number.

  q: A number is an integer.

Multiple Choice

Premise 1: All integers are real numbers.

Multiple Choice

Premise 2: -42 is an integer

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Premise 2: -42 is an integer

Multiple Choice

Conclusion: Therefore, -42 is a real number.

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Therefore, -42 is a real number.

• Valid

• Invalid

Multiple Choice

Part 3 Next Question
Premise 1: All integers are real numbers. (same)
Premise 2: 

 $\sqrt{5}$  is not an integer

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Premise 2:

 $\sqrt{5}$  is not an integer

Multiple Choice

Conclusion: Therefore,  $\sqrt{5}$  is not a real number. 

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Conclusion: Therefore,  $\sqrt{5}$  is not a real number. 

• valid

• invalid

Multiple Choice

Part 3 Next Question
Premise 1: All integers are real numbers. (same)
Premise 2: 7i is not a real number

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Premise 2: 7i is not a real number.

Multiple Choice

Conclusion: Therefore, 7i is not an integer.

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Therefore, 7i is not an integer.

• valid

• invalid

Multiple Choice

Part 3 Next Question
Premise 1: All integers are real numbers. (same)
Premise 2: 3.752 is not an integer

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Premise 2: 

3.752 is not an integer.

Multiple Choice

Conclusion: Therefore, 3.752 is not a real number.

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Conclusion: Therefore, 3.752 is not a real number.

• valid

• invalid

Multiple Choice

Part 3 Next question

Premise 1: All accordion players belong in jail.

• If you play accordion, then you belong in jail.

  p: You play accordion.

  q: You belong in jail.

• If you belong in jail, then you play accordion.

  p: You belong in jail.

  q: You play accordion.

Multiple Choice

Premise 1: All accordion players belong in jail.

Multiple Choice

Premise 2: Willie does not play accordion.

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Premise 2: Willie does not play accordion.

Multiple Choice

Conclusion: Willie does not belong in jail.

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Conclusion: Willie does not belong in jail.

• valid

• invalid

Multiple Choice

Part 3 Next Question

Premise 1: It is necessary for a man to play the bagpipes in order to wear a kilt.

• If you play the bagpipes, then you must wear a kilt.

  p: You play the bagpipes.

  q: You wear a kilt.

• If you wear a kilt, then you must play the bagpipes.

  p: You wear a kilt.

  q: You play bagpipes.

Multiple Choice

Premise 1: It is necessary for a man to play the bagpipes in order to wear a kilt.

Multiple Choice

Premise 2: Ferguson cannot play the bagpipes

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Premise 2: Ferguson cannot play the bagpipes

Multiple Choice

Conclusion: Ferguson does not wear a kilt.

• p is true

• q is true

• p is false

• q is false

Multiple Choice

Conclusion: Ferguson does not wear a kilt.

• valid

• invalid