conjure

Conjure means to bring or call something into existence using magic, imagination, or creativity.

When people say "conjure up an idea," they often mean coming up with a solution or a plan by thinking creatively. It's like suddenly having an inspiration and being able to make it happen. This can be related to problem-solving in everyday life, where you need to come up with a good answer or find a way out of a tricky situation.

As a verb, "conjure" can also imply calling someone or something into action, often with a hint of magic or persuasion. For example, if you're trying to get your friend to help you move by using all sorts of convincing arguments and promises, you might say they conjured up their willingness to lend a hand.

Note that the word "conjure" can have different meanings based on context and tone, but at its core, it's about bringing something into being through creative or magical means.