
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Among the following propositions, the number of correct propositions is ______.

\\(①\\) If there are infinitely many points on line \\(l\\) that are not in plane \\(\alpha\\), then \\(l \parallel \alpha\\);  
\\(②\\) If line \\(l\\) is parallel to plane \\(\alpha\\), then \\(l\\) is parallel to any line within plane \\(\alpha\\);  
\\(③\\) If one of two parallel lines is parallel to a plane, then the other line is also parallel to this plane;  
\\(④\\) If line \\(l\\) is parallel to plane \\(\alpha\\), then \\(l\\) has no common points with any line within plane \\(\alpha\\).

Present the answer in LaTex format: \boxed{Your answer}
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