Question at position 9 Either Jack is registering in ESL 1303 course or in GE2023 course. Jack is not going to register in GE2023 course. Therefore, Jack is registering in ESL 1303 course. This is an example of an inductive argument by analogy.TrueFalse单项选择题
A
True
B
False

Question

Question at position 9 Either Jack is registering in ESL 1303 course or in GE2023 course. Jack is not going to register in GE2023 course. Therefore, Jack is registering in ESL 1303 course. This is an example of an inductive argument by analogy.TrueFalse单项选择题

A

True

B

False

BlackTom AI · Accepted Answer

This is a standard disjunctive syllogism (a deductive argument): from "A or B" and "not B" we infer "A."

1. Relevant knowledge points and concepts
- Deductive vs inductive arguments: Deductive arguments aim to guarantee the conclusion if the premises are true; inductive arguments aim to make the conclusion probable.  
- Disjunctive syllogism: A valid deductive form with structure (A ∨ B), (¬B) ⊢ A.  
- Argument by analogy: An inductive form that infers features of one case from similarity to another; it requires comparative premises, not a simple disjunction.

2. Step-by-step reasoning
Let E = "Jack registers in ESL 1303" and G = "Jack registers in GE2023." The premises are:
1) E ∨ G.  
2) ¬G.  
From these, by the disjunctive syllogism rule, infer E.

3. Intermediate logical steps
Consider the truth possibilities:
- If G is false (¬G is true) and E ∨ G is true, then E must be true (because the disjunction can only be true if E is true when G is false). Thus the conclusion E follows with certainty from the premises.

4. Why the correct answer is correct
The argument is deductively valid: given the premises, the conclusion necessarily follows. It is not an inductive analogy because there is no comparison of similar cases or probabilistic reasoning; the form is propositional logic, not analogical inference.

5. Why the other option is incorrect
Choosing "True" (that it is an inductive argument by analogy) is incorrect because the argument does not rely on analogical similarity or probabilistic inference. It uses a logical disjunction and negation to deduce a single disjunct, which is a deductive form.