Activity on Mathematical Reasoning (Part 2) Using the abbreviations suggested, construct a formal proof of validity for each of the following arguments. III. A. If either Gertrude or Herbert wins, then both Jane and Kenneth Lose. Gertrude wins. Therefore, Jane loses. G- Sertude wins H- Herbert wins J- Jane loses K- Kenneth loses

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Activity on Mathematical Reasoning (Part 2)
Using the abbreviations suggested, construct a formal proof of validity for each of
the following arguments.
III.
A. If either Gertrude or Herbert wins, then both Jane and Kenneth Lose. Gertrude wins.
Therefore, Jane loses.
Geii uue wiiis
H- Herbert wins
J-Jane loses
K- Kenneth loses
В.
If Adam joins, then the club's social prestige will rise; and if Baker joins, then the club's
financial pnsition will be more serure Fither Adams or Baker will inin If the club's
social prestige rises, then Baker will join; and if the club's financial position becomes
more secure, then Wilson will join. Therefore, either Baker or Wilson will join.
A- Adam joins
S- The club's social prestige rises
n- Roker inine
F- The club's financial position is more secure
W - Wilson joins
Transcribed Image Text:Activity on Mathematical Reasoning (Part 2) Using the abbreviations suggested, construct a formal proof of validity for each of the following arguments. III. A. If either Gertrude or Herbert wins, then both Jane and Kenneth Lose. Gertrude wins. Therefore, Jane loses. Geii uue wiiis H- Herbert wins J-Jane loses K- Kenneth loses В. If Adam joins, then the club's social prestige will rise; and if Baker joins, then the club's financial pnsition will be more serure Fither Adams or Baker will inin If the club's social prestige rises, then Baker will join; and if the club's financial position becomes more secure, then Wilson will join. Therefore, either Baker or Wilson will join. A- Adam joins S- The club's social prestige rises n- Roker inine F- The club's financial position is more secure W - Wilson joins
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