Monday, June 23, 2008

Mad Maths

I recently read an article that says something 'bout reasoning. Naturally it caught my attention, since i was studying mathematical reasoning just some weeks ago. When I peruse it, it mentions that those reasonings were only usable in maths, and would hardly be useful in practical life. In fact, it uses someexammples that turns out to be very comical. Take a look at this:

Statement 1: A is B.
Statement 2: B is C.
Conclusion: A is C.

A standard example would be:

Statement 1: 8 is a multiple of 2.
Statement 2: A multiple of 2 is a even number.
Conclusion: 8 is a even number.

Now, check this out:

Statement 1: Some boys are Senior High students.
Statement 2: Some Senior High students are girls.
Conclusion: Some boys are girls.

Wow. Impressive. However, once I reconsult my notes, I found a major mistake there. The statements can, and have been in this case, modified by the quantifier "some". That very word can cause the truth value of the trio above to be changed, since the connection between the staements and the conclusions are frayed.

Lesson learned: Next time, be careful about what you hear.