The Set Game

Hint: It's so shallow you might hate me for it.

I googled for five minutes and couldn't find any.
Uh, sorry, more specifically, for the rule, not for word-sums as you described.
 
Err...

Rule: Number of enclosed loops in word, when first letter is capitalised, is a prime number
Member: Received
Non-member: Antidote
 
? -- edit: oh wait, got it, no.

Members: Banana, cerise, spuds, punani
Nonmembers: Jump, penis, butt, arbitrage, nutritional, bikini, thong, revive, pornography, oak, mushrooms, vagina, chicken, steel, onions, juniper, meat and two veg, potatoes, apple, sporadic, received, antidote
 
Words that have two of the same letter in them?
Member: food
Nonmember: cat
 
no

Members: Banana, cerise, spuds, punani, food
Nonmembers: Jump, penis, butt, arbitrage, nutritional, bikini, thong, revive, pornography, oak, mushrooms, vagina, chicken, steel, onions, juniper, meat and two veg, potatoes, apple, sporadic, received, antidote, cat
 
*bing bing bing* (appropriate accent) We have a winner!

Final list
Members: Banana, cerise, spuds, punani, food, hairs
Nonmembers: Jump, penis, butt, arbitrage, nutritional, bikini, thong, revive, pornography, oak, mushrooms, vagina, chicken, steel, onions, juniper, meat and two veg, potatoes, apple, sporadic, received, antidote, cat, tornadoes

Scrabble isn't obscure, is it? Anyway, congratulations Mise, you're our new GM. :D
 
Rule: Country whose head of state is a woman
Member: Federal Republic of Germany
Non-member: Russian Federation
 
Scrabble isn't obscure, is it? Anyway, congratulations Mise, you're our new GM. :D
No not at all, good one :goodjob:

Rule: Starts with a vowel
Members: Ears
Nonmembers: Funkytown
 
Nope to both rules.

Members: United Kingdom, Federal Republic of Germany
Non-members: Republic of Ireland, Ears, Funkytown, Russian Federation



And yeah, flyingchicken's one was great :D
 
Countries with former colonies? (Though I'd call Siberia a colony)

Members: United Kingdom, Federal Republic of Germany, Portugal
Non-members: Republic of Ireland, Ears, Funkytown, Russian Federation, United States of America
 
Rule: Same number of vowels as syllables (or perhaps countries that obey that rule)
Member: The Netherlands
Non-member: Belgium
 
Nope to all those rules.

Members: United Kingdom, Federal Republic of Germany, Portugal, United States of America, The Netherlands, Belgium, Iceland
Non-members: Republic of Ireland, Ears, Funkytown, Russian Federation, Zimbabwe
 
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