01 Jan '13 00:083 edits

I'm reading the book " Logic Made Easy: How to Know When Language Deceives You"

The author brings up a question that large percentage of people answer incorrectly, and tells why they mostly give a certain answer.

I bolded the information pertinent to my question

Given:

2. Some education majors have double majors.

3. Some mathematics students are education majors.

Which of the following conclusions necessarily follows from 1,2, and 3 above?

A. Some mathematics students have double majors.

B. Some of those with double majors student teach.

D. All of those with double majors student teach.

E. Not all mathematics students are education majors.

She goes on to say "

I say her statement (the above statement) is clearly is false, because given (1), no conclusion can be made as to the state of (C), and she is making a conclusion.

It could be that she simply forgot to use the word "possible" in between "the" and "truth", but I just want some opinions, Whats going on, am I out of line?

The author brings up a question that large percentage of people answer incorrectly, and tells why they mostly give a certain answer.

**I'm not debating what the correct answer to the question is ( that we agree on, i think ).**I bolded the information pertinent to my question

Given:

**1. All education majors student teach.**2. Some education majors have double majors.

3. Some mathematics students are education majors.

Which of the following conclusions necessarily follows from 1,2, and 3 above?

A. Some mathematics students have double majors.

B. Some of those with double majors student teach.

**C. All student teachers are education majors.**D. All of those with double majors student teach.

E. Not all mathematics students are education majors.

She goes on to say "

**But, most probably, those erring on this question were seduced by the truth of conclusion C**. It may be a true conclusion, but it does not necessarily follow from the given statements."I say her statement (the above statement) is clearly is false, because given (1), no conclusion can be made as to the state of (C), and she is making a conclusion.

It could be that she simply forgot to use the word "possible" in between "the" and "truth", but I just want some opinions, Whats going on, am I out of line?