
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
There are four propositions:
\(①∀x∈R\), \(x^{2}-3x+2 > 0\) always holds;
\(②∃x∈Q\), \(x^{2}=2\);
\(③∃x∈R\), \(x^{2}-1=0\);
\(④∀x∈R\), \(4x^{2} > 2x-1+3x^{2}\).
The number of true propositions is \_\_\_\_\_\_.

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