"biggest aspiration" is correct and usable in written English.
You can use it to describe the most important ambition a person has. For example, "Her biggest aspiration is to become a doctor."
Test cricket is my biggest aspiration, and my biggest dream".
Her biggest aspiration is to throw someone out at the plate.
"It would be accurate to say that my biggest aspiration was to bring America to its knees, but I didn't know how".
"Soon, my biggest aspiration was just to survive".
Despite everything she has been through, her biggest aspiration is to pay it forward and help others.
What are their biggest aspirations and dreams in life?" are key to defining this strategy.
I'll put it this way: I think the deal I had the biggest aspirations for that ended up being the most disappointing, in terms of its outcome, was [people search-engine] Wink.
In an attempt to be practical and accessible, I presume, Moran partly paints feminism's big aspiration as wanting everyone to be polite to each other.
This pledge the third big aspiration in Durban would imply that developing countries are willing to share the burden for cutting emissions, though their burden would be much less onerous than those imposed on rich states.China, India and other developing countries have already promised to cut the energy or carbon intensity of their expanding economies.
Fortunately, real entrepreneurs are growth-obsessed: they cringe when you call them "small". In fact, I don't think you can call something entrepreneurship unless it is driven by big vision, big aspiration, and a burning desire and ability to grow — that is a key message in my new book, Worthless, Impossible and Stupid (due out in July).
It's not a big aspiration.
