Slash -- I LOVE Axl... (The Baby).

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Slash
I LOVE Axl...
(The Baby)
Rock-n-roll legend Slash has no love for ex-Guns N' Roses bandmate Axl Rose -- they have a 20-year feud and no one really remembers why -- but he still thinks Axl is a great name for a kid.

Slash -- sans trademark tophat and wearing a backward ballcap -- hit up The Sayers Club in Hollywood last week ... and had nothing but love for Fergie and Josh Duhamel's baby -- who they are rumored to have named after Axl Rose.

"I think it's really cool, I actually talked to [Fergie and Josh] yesterday, " Slash told us. "It's all good ... who am I to judge?"

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Slash -- No Shirt, No Shoes ... NO TOP HAT???

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Slash
No Shirt, No Shoes ...
NO TOP HAT???
Like a turtle without his shell, rock-n-roll god Slash hit the pool in Ibiza this week ... WITHOUT HIS TRADEMARK TOP HAT!!!

The former Guns N' Roses guitarist is vacationing off in Spain with his family ... just like they did back in 2012.  Dude looks good.

Meantime, here's a photo of Axl Rose at a yard sale in New York this weekend.  He looks ... fine?