Saving is investing. You're investing in your ability to manage your risk at a future date. If you have no savings, then you are at risk of any minor problem (e.g. an injury, decreased revenue, or a natural disaster) causing you a major setback.
The "common wisdom" you've heard about inflation being necessary for an economy is a lie. It's a lie that justifies the wealthiest class of individuals in this society to be "bailed out" again and again.