It seems colons are used more restrictively in English than in my native language (German), so I'm having a bit of trouble with it.
Do you think the use of the colon in the following sentences is good style in English, or should I better replace the colons (by semicolons)?
- This leads us to the main goal of this work: to define a statistical model for object recognition.
- I am following my father's advice: first I look left, then right, then I cross the street.
I'm really using the colon here for ", which is": "This leads us to the main goal of this work, which is to define a statistical model for object recognition" to make it more concise. Is that wrong? Are there any other good ways to make it as concise as possible and get rid of superfluous words like "which is?"