Eureka

[Cavius The Great]

Can you play a deck with a bunch of creatures that draw you cards like Artic Wolves and Phyrexian Gargantua in a Eureka deck and still keep playing cards when your opponent chooses to stop playing cards from his hand?

[Dante]

You won't draw any cards until Eureka is finished resolving.  

Basically, you cast Eureka, Eureka resolves, you both start putting things into play.  If you put one of those creatures that you mentioned in play, their CIP effects will go on the stack, but won't actually resolve until Eureka is finished resolving, so by the time you draw the card(s) from those creatures CIP effects resolving, Eureka has already finished resolving.

Bill

[Jebus]

When Eureka resolves, each player takes turns putting cards into play.

You can keep doing it even when your opponent stops.

However, comes into play abilities from these cards won't trigger until after Eureka has finished resolving.  This means you won't draw cards from until you can no longer put creatures into play.

[Jebus]

You won't draw any cards until Eureka is finished resolving.  

Basically, you cast Eureka, Eureka resolves, you both start putting things into play.  If you put one of those creatures that you mentioned in play, their CIP effects will go on the stack, but won't actually resolve until Eureka is finished resolving, so by the time you draw the card(s) from those creatures CIP effects resolving, Eureka has already finished resolving.

Bill

Technical correction:  It will trigger during resolution, but won't even go on the stack until Eureka is done resolving.

[Cavius The Great]

Well, that sucks then. Deck idea down the drain.  

[Upinthe]

Well, that sucks then. Deck idea down the drain.  

Don't despair. Remember you can twist this to your advantage and use Eternal Witness to get Eureka back or Hoverguard Sweepers to bounce back any creatures  they put out.