#### Howdy, Stranger!

It looks like you're new here. If you want to get involved, click one of these buttons!

# Can all "Group 1" logical indicators be negated to "some not"

Yearly Member
edited January 14 in General 14 karma

Hello everyone! I'm still going through the CC and reached the section about "Some and Most Relationships." I understand that the negation of "all" is "some not."

"All A's are B's."
Group 1 translation: A→B
Negation: A←some→/B

This might be a silly question, but does this mean that all the logical indicators in group 1 should be negated this way? For example:

"As long as there are A's, there are B's."
Group 1 translation: A→B
Negation: A←some→/B

And does this also apply to groups 2, 3, and 4? Does "all" basically represent all the universal quantifiers we learned in "Intro to Logic"?

Thank you!

Show Related Discussions

• #### anyone who is good at LR willing to give me some tips? I'm kinda sucking to be honestAnyone willing to help, through PM's or something?

• Monthly Member
64 karma

Wow, this is a really good question and I hope someone smarter than me answers it because it has been throwing me for a loop while thinking about it. When searching on the forums, I found a related explanation to your question (here's the link: https://7sage.com/discussion/#/discussion/27407) and basically it was saying that some and most statements are not the same as conditional statements. So there is a distinction to be made, however, when it comes to negating we still have to negate sentences like the one that is in the link and it has a combination of a some statement and a conditional statement.

• Alum Member
417 karma

I am thinking this lesson may be referring to negating or denying a conditional. Whereby the sufficient exists AND one instance of the necessary does not.

• Yearly Sage
6828 karma

All terms that mean the exact same thing negate the exact same way. Which makes sense, doesn't it? After all, how could two things mean the exact same thing if you're supposed to treat them differently in certain circumstances?

So to answer your question directly, yes - "if" and all of its brethren in group 1 all negate to "some not", and the world would be totally insane if that weren't true.

• Yearly Member
14 karma

Thank you, everyone!