Homework 3
Match each of the cells in the table 1–9 with one of the arguments a–i.
(At least one)
All true premises All true premises false premise
with with with
true conclusion false conclusion true conclusion
Valid deductive 1 2 3
Invalid deductive 4 5 6
Inductive 7 8 9
a Most US senators from the south are Republican, Raphael Warnock is a US
senator from the south, so Raphael Warnock is a Republican.
b All cats are mammals, not all animals are mammals, so not all animals are
cats.
c Most US senators from the south are Democrats, Raphael Warnock is a US
senator from the south, so Raphael Warnock is a Democrat.
d Everyone who lives in Alabama was born on the Earth, not everyone lives
in Alabama, so not everyone was born on the Earth.
e All cats are mammals, not all animals are cats, so not all animals are mam-
mals.
f Most US senators from the south are Republican, Katie Britt is a US senator
from the south, so Katie Britt is a Republican.
g Everyone who lives on the Earth was born in Alabama, Obama was born in
Alabama, so Obama lives on the Earth.
h All US senators from the south are Republican, Katie Britt is a US senator
from the south, so Katie Britt is a Republican.
i This combination is impossible.
1