Our central beliefs are summed in the Nicene Creed and the Catechism.
I'm going again quote from Webber, not because he is an 'authority' but because he well explains the Anglican approach to worship and theology.
Episcopalians find their unity primarily in worship, an experience that lifts them beyond language and logic, but theology has to do with language and logic. It is not surprising, then, that Episcopalians do theology differently than do the members of many other churches. Episcopalians do care very much about language but they draw the language of theology primarily from the experience of worship and the language they use in speaking to God rather than about God.
...
Doing theology, then, is not an isolated activity for Episcopalians. Those who still know Latin will quote the ancient saying, "lex orandi, lex credendi," which means, freely translated, "prayer shapes beleif." Christians' prayer and worship are, of course, shaped by what they believe, but for Episcopalians, what we believe is often learned through worhsip. Roman Catholics have traditionally turned to Thomas Aquinas as a primary theological authority while Lutherans have turned to Martin Luther and Presbyterians and members of the reformed churches to Johm Calvin. TRhe only comparable figure in Anglicanism is Thomas Cranmer, who was not a theologian but who produced the first Book of Common Prayer. Episcopalians may come to a discussion of theology later thn other Christians, but might argue that they do it better as a result of coming to it through worship.
The way Episcopalians do theology grows out of the primary Anglican conern for worship. Worship for example, is inclusive, not exclusive, while theology, by its nature, excludes. Theology is concerned with defining issues and boundaries, with saying we believe this and not that. Worship, on the other hand, like great music and art, can be appreciated on many levels and in many ways. Art, music, and worship are difficult to define in words and it would be difficult to say that someone wholese appreciation is different from ours is wrong. Worship then, has the ability to unite, to draw us in and draw us together.
Episcopalians, as a result of this approach, have an inclusive understanding of the church. We baptize infants rather than limiting membership, as the Puritans did and as some other shurches still do, to those who have had a conversion experience. We are not likely to quiz our fellow members about the depth or sincerity of their beliefs. Queen Elizabeth I once said, "I will not make windows into men's souls." Her concern was that the nation be united in worship but that no questions be asked as to why exactly people were there or what precisely they bleived. If they were in the same building, using the same prayer book, that would provide a solid foundation on which Christians could build a mature faith.
Theology relies on language in is attempt to understand religious experience, and those who worship God know how dificult it is to put that experience into words. God is always beyond our definitions. That will be frustrating to those who want precise answers to all their questions but liberating to those who feel restricted and unsatisfied by some of the answers they have been given in the past. Definitive answers block off further inquiry, but limited answers stimulate the serach for better answers and should lead to a lifelong process of growth and a thirst for a fuller knowledge of God that can only be fully satisfied hereafter in God's presence."