Negating/denying Universal quantifiers

mc_meatt

Hey,

I know that there were lessons on denying existential quantifiers, but I couldn't find one for the universal quantifiers...

Can you please tell me how to deny statements with existential quantifiers?
Thanks

mc_meatt

@tanes256. Thanks, but I was asking for denying the conditional statements (group 1~4). Should I just place "It's not the case that" in front of the conditional statements to deny them?

nye8870

@"mc_meatt" said:
Should I just place "It's not the case that" in front of the conditional statements to deny them?

Yes. This is true. But you must come to know what the conditional looks like if it's "not the case."

c.janson35

You can follow these rules...

If changes to "even if", and you negate the opposite clause.

Only if changes to "even if", and you negate the same clause.

Unless changes to "even if", and you negate both clauses.

nye8870

@c.janson35
If you are a dog then you have a tail.
Even if you are a dog you do not have a tail?
I would think the negation of the first statement is:
If you are a dog you may or may not have a tail. Or D some /T.
- The negation simply stating that being a dog no longer automatically implies having a tail.

mc_meatt

Thanks all!

nicole.hopkins

@"mc_meatt" said:
but now totally lost.

Oh no! Did you take a look at these links?

@tanes256 said:
Universal Quantifiers
http://7sage.com/lesson/the-negation/

Existential Quantifiers
http://7sage.com/lesson/advanced-negate-some-statements/

http://7sage.com/lesson/advanced-negate-all-statements/

http://7sage.com/lesson/deny-the-relationship/

http://7sage.com/lesson/how-to-negate-statements-in-english/

mc_meatt

@nicole.hopkins I get it now! Thanks!

c.janson35

Right @nye8870, if you just stick a not in the second clause of the dog tail example it's not exactly the negation. Negating the second clause "then you have a tail" would be "then you may not have a tail" or "then you do not necessarily have a tail."

tanes256

@mc_meatt sorry about that. I was confused by your question. Glad they cleared that up for you! I'll delete so that no one else gets confused.