Isn't it true that Gödel's Incompleteness Theorems prove any theories that use mathematics cannot be made complete and consistent?

There is an alternative in the Vedas, which use ternary logic and an inverted reduction process, and says,

SB 4.29.2b: Everything happening within time, which consists of past, present and future, is merely a dream. That is the secret understanding in all Vedic literature.
http://Www.vedabase.com/en/sb/4/29/2b

The Vedas were praised for providing insight that helped the pioneers of quantum theory to begin to understand what they were trying to study. For example,

“Access to the Vedas is the greatest privilege this century may claim over all previous centuries."
J. Robert Oppenheimer