Hi can explain again briefly the concept of reversing some and most statements?
I just don't understand how it works. For example: A-most-X can become X-some-A, but then X-some-A can become A-some-X too? How does that work?
Thank you
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Let's consider the relationship between most and some:
Law students most-> take the bar
If most law students become lawyers, it must also be true that
Law students some -> take the bar
because some is less that most (50%+), some can be as few as one in fact.
Then it must also be true that some of the people who take the bar are law students
take the bar some -> law students
What we cannot conclude is that most people that take the bar are law students because we have no information what proportion of the total people that take the bar are law students, only that among law students most take the bar. So, this statement would be wrong:
take the bar most-> law students
Sometimes it is easier to understand these relationships if you draw a Venn diagram with each circle representing a group, i.e. + - - - - - - - - - - - - - - - - -+ | | | | | | + - - - | - - - -+. | | | | | | | | | | Law students| People that take the bar. | | | | | | | | | + - - - | - - - -+ | | | | | | | | | + - - - - - - - - - - - - - - - - -+
This visual confirm our conclusions:
-most students take the bar -some students take the bar -some people who take the bar are students
Let me know if this helps and if you have any other questions.
