Euler Diagram Help?

Question

I don't need to know how to draw it just need to know how to construct my A and B and C Elements.

Use an Euler diagram to determine whether the syllogism is valid or invalid
All actresses are beautiful
Some actresses are tall
--------------------------------
therefore, Some beautiful people are tall.

How would I construct my A,B, and C

Answer 1

This Diagram could be done in two ways.
One Way:
Circle A: Actress that are beautiful
Small Circle B (inside A): Tall Actress
Therefore since the two circles overlap it is a valid

Option 2: (typically the box you draw the circles are the domain space in this case actress)
-Since all are Beautiful you don't draw a circle just note anything in the domain space (box) is beautiful
Circle A: Tall Actress
Therefore since the domain space of actress are all beautiful and some are tall it is valid.

Hope this helps!! :)

Answer 2

The syllogism is valid, but:

Is an Euler Diagram what I would call a Venn Diagram?

If so, draw the following:

A. A big ellipse or circle A containing all the beautiful people.

B. Since all actresses are beautiful*** (but not all beautiful people are actresses --- I'm not one myself, actually), actresses are but a sub-set of beautiful people. Therefore they accupy a smaller circle or ellipse B completely within the enclosure of beautiful people (A).

C. Now SOME actresses within that smaller enclosure B are tall, and clearly they are within the beautiful enclosure A. (You could even corral the subset of actresses who are tall into their own enclosure C completely within enclosure B. But that isn't absolutely necessary, although I see from the question that that appears to be expected --- it's clear that the tall actresses are within B without herding them all into one smaller corral limited to them alone.)

Therefore, SOME beautiful people, in this instance (the tall) actresses, are tall.

Live long and prosper.

*** Of course, the original proposition is false, so that the end result cannot be proved by this syllogism, however internally consistent it is otherwise in formal logic. Few people would probably call Helen Mirren or my contemporary Judi Dench conventionally "beautiful." Nevertheless, they are absolutely superb actresses whose portrayals go far beyond such superficial aspects, into the deep recesses of their characters' beings. In this way, they both hold a fascination and allure from me that transcends mere beauty.

Way to go, Helen and Judi --- in my book, one of you deserves this year's Oscar, for sure. What a pity it can't be jointly awarded!

Answer 3

No idea, but I'm sure Nan Martin would love to see this question