In all natural human languages, the order of the sounds/signs (phonemes) in an utterance conveys information. But is it possible for a language to convey no information with phoneme order? And if so, what properties does such a language have? This is a Summer of Math Exposition 4 (SoME4) submission. SoME4 website: SoME4 announcement video: Related CCC4 submission: ======================================= Sections: 00:00 Intro 00:46 Abstraction 01:47 Are unordered languages possible? 03:56 How long are ordered utterances? 06:56 How long are unordered utterances? 12:02 Information theory 15:23 Outro ======================================= Notes: - 00:15: Thanks to NexMaster CZ for providing me with the Czech example sentence and helping me understand it! Literal English translation done by me. ======================================= Assets used: - 00:06: Drawing of a cat eating a fish modified from an illustration by Irasutoya/いらすとや ( ) (Irasutoya provides free clip art, with remixing allowed, for both commercial and non-commercial use under weak conditions.) - 00:15: Czech example sentence from the 19th century poem "Máj" by Karel Hynek Mácha, one of the most famous pieces of Czech literature ======================================= Mastodon: @KatMistberg