Without a bourn or stream; describing an area lacking small seasonal brooks or water sources.
From bourn plus the Old English suffix -less (meaning 'without' or 'lacking'). This is a productive English word-formation pattern used since Old English to create descriptive adjectives.
The suffix -less has been making English adjectives for over 1,000 years—from 'fearless' to 'careless' to obscure terms like 'bournless'—making it one of English's most durable productivity engines.
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