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I looked up manifest in the dictionary; it says to show something clearly, through signs or actions
The workers chose to manifest their dissatisfaction in a series of strikes.
The illness first manifested itself in/as severe stomach pains.
Lack of confidence in the company manifested itself in a fall in the share price.

Can I replace manifest in the above sentences with show?

Is there any distionction between show and manifest?

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I think "show" lacks the active part you find in "manifest". I'd say it can be OK in the first example, but I wouldn't use it in the next two. But then I'm not a native, so wait for further advice... Emotion: smile
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I think you can use show in these sentences.
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This is a good dictionary for such issues:

http://www.m-w.com/dictionary/show

Go to the synonym section of the page for show (as a verb) and they tell you the differences there.

Also, consider the definitions and examples at:
http://www.answers.com/manifest
http://www.answers.com/show
they are very good.
Under show here, look at
Directory > Words > Thesaurus
show also show up
entry, you'll see that they are synonymical only for the meaning:
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show

....

7.
  • To make manifest or apparent: demonstrate , display , evidence , evince , exhibit , manifest , proclaim , reveal . See show/hide .


  • while showhas 10 or so meanings, which are listed there and you must learnEmotion: smile
    1. To make visible; bring to view
    2. To come into view
    etc.
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    Students: We have free audio pronunciation exercises.
    Comments  
    The cases that result in "show itself" are not as idiomatic as the first case, but the replacement can be done.

    CJ
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