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I think you're being tripped up by some mistaken impressions. First, you suggest that ungrammatical and/or persuasive writing is "creative". Maybe some of it is, but that's hardly the definition ...
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#3: Attribution notice added
Source: https://writers.stackexchange.com/a/16449 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
I think you're being tripped up by some mistaken impressions. First, you suggest that ungrammatical and/or persuasive writing is "creative". Maybe some of it is, but that's hardly the definition of the term. There is plenty of creative writing that follows the rules and conventions of its language, and plenty that is descriptive or story-telling but not particularly aimed at persuading the reader. On the flip side, there is academic writing that sets out to persuade, and academic writing that doesn't. Either way, yes it's generally formal and grammatical. Blogging isn't a _style_; it's a _platform_. Many blogs are casual, with or without following grammatical conventions. Some focus on creative writing (fiction blogs, poetry blogs). And some are more formal, publishing essays that wouldn't be out of place in respectable magazines or even Academia. (Consider Language Log, for instance, a blog by and for linguists.) Further, there are institutional blogs, often attached to media or academic institutions, and their publishers will have style requirements that are probably different from Joe Random User's personal blog. Blog writing isn't called anything in particular because it doesn't have a fixed style. Describe the style based on the _content_, not on how it's _published_.