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Can you use your clicker? 1. Yes 2. No. Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence.

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Presentation on theme: "Can you use your clicker? 1. Yes 2. No. Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence."— Presentation transcript:

1 Can you use your clicker? 1. Yes 2. No

2 Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition? “We won the first game and lost the second” (1) A  B (2) A   B(3)  A  B(4)  A   B (5) A  B (6)  A   B(7) A  B   C (8) A  B   C (9)  A   B  C (0)  A   B  C

3 Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition? “We won at least one of our first two games.” (1) A  B (2) A   B(3)  A  B(4)  A   B (5) A  B (6)  A   B(7) A  B   C (8) A  B   C (9)  A   B  C (0)  A   B  C

4 Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition? “We lost the first game and won the second.” (1) A  B (2) A   B(3)  A  B(4)  A   B (5) A  B (6)  A   B(7) A  B   C (8) A  B   C (9)  A   B  C (0)  A   B  C

5 Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition? “We didn’t win either of our first two games.” (1) A  B (2) A   B(3)  A  B(4)  A   B (5) A  B (6)  A   B(7) A  B   C (8) A  B   C (9)  A   B  C (10)  A   B  C

6 Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition? “We won both our first two games but we still aren’t first in the league.” (1)A  B (2) A   B(3)  A  B(4)  A   B (5) A  B (6)  A   B(7) A  B   C (8) A  B   C (9)  A   B  C (0)  A   B  C

7 Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition? “We’re first in the league but we didn’t win either of our first two games.” (1) A  B (2) A   B(3)  A  B(4)  A   B (5) A  B (6)  A   B(7) A  B   C (8) A  B   C (9)  A   B  C (0)  A   B  C


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