Arminians can't love everybody

So why can't Arminians love everybody? I thought you'd never ask! Here's a simple syllogism:

i) In Johannine usage, kosmos means "everybody"

ii) 1 Jn 2:15 says "Love not the kosmos...If anyone loves the kosmos, the Father's love is not in him"

iii) Hence, Scripture forbids Christians to love everybody

Looks like a valid syllogism to me. The minor premise carries over the definition of kosmos from the major premise. And the conclusion seems to derive by logical implication from the major and minor premises.

What is more, it looks like a sound syllogism from an Arminian standpoint. Arminians routinely define kosmos in Johannine usage as "everybody" (or "everyone" or "all mankind"). 

So Arminians affirm the major premise. And everything follows from that. 

Hence, Arminians can only love everybody on pain for defying this Biblical prohibition. Worse that that: if they love everybody, the means the Father's love is not in them. Consistent Arminians can only love some people. 

Of course, I'm not Arminian, so I reject the major premise. Hence, I can be far more loving than Arminians, what with their heartless, exclusionary, narrow-minded interpretation of 1 Jn 2:15!