different between obstinately vs wrongheaded

English

obstinate +? -ly

obstinately (comparative more obstinately, superlative most obstinately)

In an obstinate manner.
He obstinately made his motion at every meeting, even though no one else ever supported it and everyone else was bored with it.

wrong +? headed

wrongheaded (comparative more wrongheaded, superlative most wrongheaded)

Having an obstinately (persistently, stubbornly) perverse/erroneous opinion or judgement.
He's not just wrong, but wrongheaded, about raising the kids.
- 1840, Colburn's New Monthly Magazine and Humorist (volume 60, page 492)
  Reputation—a mere barren reputation, that brings nothing with it, save a post obit bond on posterity—has lost its ancient value: and the panters after posthumous reputation are now closely confined to a few wrongheaded enthusiasts, […]

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