We chose to live in a capitalist system. Inflation, amongst other issues, is a problem with this system.

Inflation is merely observance of people believing that a currency has become less valuable than in the past. In what way is that a problem of capitalism? Currency is not a feature of capitalism, nor is assigning value to something a feature of capitalism.

Perhaps you mistyped 'currency' when you wrote 'capitalist'? Autocorrect can be a harsh mistress. It is true that we live in a currency system.