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Mathematics, 27.08.2021 21:50 syd5723
Use your knowledge of the definitions of validity, soundness, strength, and cogency to determine which of the following statements are true.
a) To check an argument's deductive validity, you should first ask whether the argument is sound.
b) Some inductive arguments are neither cogent nor uncogent.
c) If a deductive argument has false premises and a false conclusion, then the argument could be valid.
d) All strong inductive arguments are equally strong.
e)An inductive argument cannot be both weak and uncogent.
f) If an argument is deductively valid and has premises that are all true, then the argument is cogent.
g) All deductive arguments are either completely valid or completely invalid.
h) To have a cogent inductive argument, the premises must not ignore a piece of evidence that would require a different conclusion.
i) If an argument is deductively valid, then at least one of its premises must actually be true.
j) A statement that is true is a sound statement.
k) No sound deductive arguments are invalid arguments.
l) If a deductive argument is unsound, the argument's premises cannot all be true.
m) If an inductive argument is strong, then the argument's conclusion must be true.
n) A weak inductive argument cannot be cogent.
o) In an invalid deductive argument, it is impossible for the premises to be true and the conclusion to be false simultaneously.
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