That's spirituality, not to be confused with "new age" spiritualism, which comes close to its own religion. For years I have been guided by this quote from Neale Donald Walsch's Conversations with God: “Religion cannot stand Spirituality. It cannot abide it. For Spirituality may bring you to a different conclusion than a particular religion — and this no known religion can tolerate. Religion encourages you to explore the thoughts of others and accept them as your own. Spirituality invites you to toss away the thoughts of others and come up with your own.”