The best replacement for intention is intent.

The best alternatives to intention are rated as following:
★★★★★  intent
★★★  action
★★★  intension
★  attention
★  extension
★  intentions
★  resolution
★  motive
★  secondary intention
  intentionality
  oblique intention
  no intentions

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Speaking about intention, one probably shouldn't forget about attention.

Other search terms related to intention and their ratings are:
★★★★★ attention
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Google Trends

Scale is based on the average worldwide traffic of intention in all years. Click on graph for more.
intention
intent
action