Step 1: Understanding the Concept:
The phrase 'entry into the world' implies entering or becoming a part of something, and 'of politics' denotes the subject area of that world.
Step 2: Detailed Explanation:
'Into' is used to indicate movement or entry, while 'of' is used to specify the domain or subject, which is politics.
Step 3: Final Answer:
Therefore, the correct prepositions are "into" and "of".