a simple question about Quantifiers

77 Views Asked by At

first of all it's not an exam sheet or some kinda stuff. I'm just preparing myself about quantifiers.

i couldn't find similar task to this one so had to ask here.


Let '$x \mathrel{\heartsuit} y$' stand for 'x loves y'. Rewrite the sentence 'Someone loves everyone' using quantifiers in two different ways.

2

There are 2 best solutions below

1
On

I can only think of one way: $$\exists x \forall y:x \heartsuit y$$

0
On

Maybe the second interpretation would be something along the lines of: there is someone for eveyone' ... So for evryone there is someone who loves them. So switch the quatifiers for the second reading?