I've introduced my 4 1/2 month old to solids (a...

I've introduced my 4 1/2 month old to solids (after consulting his doctor). How much solids is too much for him? He loves every food he's tried, and right from the very first try, he's always wanted more! I know you should try them on about a teaspoon initially, but he gobbled it all up and demanded more! He's been on solids for about 3 weeks now, and will easily (and happily) eat half a bottle in one sitting, and still want more. Should I let him eat as much as he wants, or limit his puree intake? He still happily accepts his formula, he just gobbles his food too!