Correct option is C
In a
deductive argument, the relationship between the premises and the conclusion is such that if the premises are
true, the
conclusion must also be true. This is a defining feature of deductive reasoning. Therefore, the following can be claimed about a deductive argument:
·
B. If the premises are true, then the conclusion must be true. In a valid deductive argument, the truth of the premises guarantees the truth of the conclusion.
·
D. The conclusion follows necessarily from the premises. In deductive reasoning, the conclusion is a necessary outcome of the premises.
·
E. It is impossible for all the premises to be true and the conclusion false. This is the key characteristic of a valid deductive argument—if the premises are true, the conclusion cannot be false.
Information booster:
1.
A. If the premises are true, then the conclusion is probably true: This statement describes
inductive reasoning, where the conclusion is probable but not guaranteed.
2.
C. It is unlikely for the premises to be true and the conclusion false: This also reflects
inductive reasoning, where the relationship between premises and conclusion is strong but not certain.
Additional Knowledge:
·
Deductive reasoning guarantees the truth of the conclusion if the premises are true, making the argument valid.
·
Inductive reasoning provides probable conclusions based on the premises, but the conclusion is not necessarily true even if the premises are.
· A
valid deductive argument is one where the conclusion logically follows from the premises.
· A
sound deductive argument is valid and has true premises, guaranteeing the truth of the conclusion.