[kubanczyk]

> The gap between what we know and what is true might have decreased immensely, but it is still infinite.

The other two commenters have taken different approaches to infinity, but it seems that your argument doesn't hold even for a plain-as-in-real-numbers infinity.

Being satisfied with finite knowledge gains, I have no hope to achieve 1% of infinity (or any other fraction of infinity).

The universe is infinite in size, another assumption. If I'd fly on vacation to Tenerife, a quantifiable shift of my position by mere thousands of miles would be "zero in relation to infinity". Yet, it's not unimportant for my rest. Talking about infinity doesn't automatically cancel all the finite measurements and bring them to zero.