
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 incorrect proposition numbers are:  
① The subset of A={0,1} has 3 elements;  
② The converse of "If $am^2 < bm^2$, then $a < b$" is true;  
③ "The proposition $p \vee q$ is true" is a necessary but not sufficient condition for "The proposition $p \wedge q$ is true";  
④ The negation of the proposition "For all $x \in \mathbb{R}$, $x^2 - 3x - 2 \geq 0$" is: "There exists $x \in \mathbb{R}$ such that $x^2 - 3x - 2 \leq 0$"

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