REDU format ruling
The League of Uniform Nomenclature

Nearest-era rulings (Tengu, Sept 2011) — no REDU-specific archive exists.
Card effect (current official text)Select 1 face-up Level 2 or lower Normal Monster you control to activate this card. Special Summon as many cards as possible from your Deck with the same name as the selected monster.
Rulings
- You can activate "The League of Uniform Nomenclature" and Special Summon only 1 copy of the selected monster from your Deck, but the opponent can check your Deck to verify that you do not have a second copy. You can activate "The League of Uniform Nomenclature" targeting a monster like "Right Arm of the Forbidden One" even though it is impossible to have more copies in your Deck (and your opponent can check your Deck to verify).
- A Normal Monster on the field that has its level lowered to 2 or less by an effect (like "A Legendary Ocean" or "Demotion") is a proper target for "The League of Uniform Nomenclature". So you can target "Archfiend Soldier" equipped with "Demotion" and Special Summon 2 copies of "Archfiend Soldier" from your Deck.
- If you target a "Harpie Lady" on the field equipped with "Demotion", then you can Special Summon monsters that are treated as having the same name, like "Cyber Harpie Lady" or "Harpie Lady 3".
Rulings data courtesy of Format Library — formatlibrary.com. Spotted an inaccuracy? Flag it in the REDU forum — sourced change requests get reviewed.