"think of" and "think up"
If I want to say something jump out of my mind, which one should I use?

What's the different between these two?

Question

"think of" and "think up"
If I want to say something jump out of my mind, which one should I use?

What's the different between these two?

Answer

You think of something if you try to come up with something. You might make an "effort" to do so, it is deliberate. For example: Think of a title to your essay
You think something up if you come across an idea of yours that occurred to you kind of by chance. You didn´t make an effort, it was spontaneous.
At least, I was made to understand it like that.
I hope this helps. Ask a native English speaker about this, anyway.

Answer

I would use THINK UP in the meaning of to invent or develop something spontaneously, like think up a new back-up plan. Whereas, THINK OF means to remember and consider something. For instance, think of some examples.

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