Quantifiers

Hello, Please how do I identify the S&N conditions from the -some-and -most- statements.

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shunhe June 18, 2020

Hi @Dawn,

Thanks for the question! If I understand this question correctly, you’re just asking essentially how to diagram some and most statements. If we have a statement like most X are Y, we diagram it

X -most-> Y

In other words, the “X” is put in the “sufficient condition” part, and the “Y” is put in the “necessary condition” part. With a more concrete example, most soups are hot are

Soup -most-> Hot

Now, onto some statements. These are biconditionals; the arrows point both ways. Some X are Y also means that some Y are X, and so we diagram this

X <-some-> Y

In other words, it doesn’t really matter which one we put in the sufficient and which one we put in the necessary, since they’re interchangeable. We could’ve also written

Y -some-> X

For example, let’s say that Some tables are (things that are) made of wood. Well, of course, this means that some tables are made of wood. But this also means that some things that are made out of wood are tables. And that’s why we can diagram it both ways.

Hope this helps! Feel free to ask any other questions that you might have.

Dawn June 20, 2020

I figured it out while doing the homework but this helped so much thank you Shunhe:)