Incorrect.  2+2=fish.

Yeah, honestly that yadda yadda about the graphics, the hardcore and casual audience is quite lame in my opinion

NOOOOOOOO!!!We don't flip numbers here.

2+2=22

Trust me.

No, the Wii isn't part of this generation. It came out after the other systems and it's the bridge system b/t this generation and next generation.

This generation?? Naa I think it's next gen, a few years ahead of PS360.

i would have to disagree with you....i believe that the wii is this generation because I don't think generations are decided by graphics but by what order and the advancements that companies decided to release

Especially not compared to Gamecube. 

If we go by time frame, the Wii is technically the most advanced in generation.

Woooooooooo!!

Gamecube's graphics were a lot better than the sucky Dreamcast's were.

Come on, guys, no need to get that angry an cocky. It's all a matter of conventions, and the "next-gen" blurb started as pure market speech that was then given more definite meaning than it was meant to.
When the marketing was spouting stuff like "next-gen gaming" in 2005 was it referring to any gaming occurring on consoles that would come on the market later chronologically, or was it about graphics, complex AI, big open worlds?

In other fields, say nuclear power plants, there are very clean cut technical meanings when talking of generations, it has nothing to do with market or chronological order. So I am not that surprised if someone leans on giving this kind of interpretation to the term.

Plus there's not even a clean cut definition on what a console is. Are handhelds consoles? Are they part of the n-th generation, or do they have their own?
And if they have a parallel categorization, why? Is it because they don't compete on the market with the "traditional consoles"?
But we see a trend going on in Japan where gaming is moving to handhelds, so maybe they are.

And if things are not that clean cut maybe one can have doubts about the Wii, too. And wonder why we keep splitting in mythic "market shares" between Wii, X360 and PS3.
How many of the install base are Wii-exclusive owners, and how many gamers do possess one in addiction to a PS3 or 360?
And of those who own only a Wii, how many are in the same market as a x360 or ps3?
Because many of them would never have bought a console without a wiimote or a balance board. For those people the Wii is not a competing console that does the same things better than others, it is an entirely different thing. Like a handheld is.

All these things said, is it really that absurd if someone has doubt if it makes sense to consider the Wii part of the current "generation"?

PS - to show that you get different "logical" results if you choose different criteria:
2+2=-7 if you are working in modulo 11 arithmetic
the earth is flat if you define flat as anything having a local curvature radius over 1000km