The phrase "eagerness to explore" is correct and usable in written English.
You can use it when expressing a strong desire or enthusiasm to discover or investigate something new.
Example: "Her eagerness to explore the world led her to travel to many different countries."
Alternatives: "enthusiasm for discovery" or "desire to investigate".
What sets gay theaters apart, Mr. Shinn said, is their eagerness "to explore things that are difficult".
The company's chief executive Pekka Rantala said: "Rovio's growth and eagerness to explore new business opportunities over the past few years have been exceptional.
Governments in car-clogged regions of Europe, Asia and even the United States have shown an eagerness to explore such systems, but they face a nagging challenge in placing them in private vehicles.
Few are keen to crumple themselves and their belongings into an itty-bitty room and call it home, yet the eagerness to explore these spaces seems to spread like a determined little wildfire.
These early poems lack the mellifluous quality of Lamartine's Poetical Meditations, but by the time of the Odes et ballades (1826) there are already hints of the Hugoesque mixture: intimate poetry, speaking of family relationships and problems of the ego, a prophetic and visionary tone, and an eagerness to explore a wide range of poetic techniques.
But what made the anthropologist and philosopher Claude Lévi-Strauss one of the great intellectuals of the 20th century was precisely his eagerness to explore — not just remote jungles and isolated societies, but also the far reaches of the human mind.
There is a certain nostalgia for fashions past to Rousteing's work – not Proustian, but a retro eagerness to re-explore the styles that informed his relatively-recent childhood.
The prevalent CAM use among breast cancer patients reported in this study could be attributed to the eagerness of these patients to explore other treatment modalities in their attempt to improve chances of cure of their disease, reduce side effect and improve their quality of life [ 4– 6].
His love of Hawai'i and his eagerness to make art and to explore any new avenue of its journey is contagious.
The Renaissance in the 14th, 15th, and 16th centuries was much more than just a reviving of interest in Greek and Roman culture; it was rather a change of outlook, an eagerness for discovery, a desire to escape from the limitations of tradition and to explore new fields of thought and action.
"In their eagerness to celebrate Edward's grand spirit, the filmmakers wind up diminishing it, declining to explore the causes or the costs of his addiction to fantasy".
