Question: Which lost city did both Edgar Cayce and Paul Solomon believe in?

Context paragraphs:
Edgar Cayce: Edgar Cayce ( ; March 18, 1877 – January 3, 1945) was an American Christian mystic who answered questions on subjects as varied as healing, reincarnation, wars, Atlantis, and future events while claiming to be in a trance.  A biographer gave him the nickname, "The Sleeping Prophet".  A nonprofit organization, the Association for Research and Enlightenment,<ref name='ARE About/Mission'> </ref> was founded to facilitate the study of Cayce's work.

Atlantis: The Lost Continent Revealed: Atlantis: The Lost Continent Revealed is a pseudohistorical book by Charles Berlitz.  He lists several alternative theories on where the possible mythical Atlantis may have been situated, and cites different legends and stories that may support the different theories.  All areas are and theories are covered starting with Plato, Crete (Thera), the Azores and Edgar Cayce's involvement in the story.

Ruth Montgomery: Ruth Shick Montgomery (June 11, 1912 – June 10, 2001) was a journalist with a long career as a reporter and syndicated columnist in Washington, DC.  Later in life she became a self-proclaimed psychic and author of numerous books on occult and New Age subjects, whose predictions regarding the "polar shift of 1999" heads a long list of attempts to foretell the future.  She was a biographer of alleged paranormal medium Jeane Dixon and a protégée of Arthur Ford who posited unsupported claims that he (like Edgar Cayce) could access the Akashic Records (or database) of the Universe.

Math Blaster Episode II: Secret of the Lost City: Math Blaster Episode II: Secret of the Lost City is an educational game in the Blaster Learning System by Davidson & Associates and is the sequel to "".  In the plot of this math game, the evil Dr. Minus shoots down Blasternaut, Spot, and Galactic Commander as they search for the Lost City in their Galactic Cruiser.  They crash, thankfully, next to the Lost City.  Dr. Minus' 'Negatrons' try to stop them as they unlock the secret of the Lost City to save Galactic Command.

Paul Solomon: Paul Solomon (7 July 1939 – 4 March 1994) was a professed psychic and seer who claimed to channel answers to questions asked of him from a metaphysical "Source".  He considered himself a mystic following the tradition set by Emanuel Swedenborg, Andrew Jackson Davis and Edgar Cayce.  These readings described subjects such as the former existence of Atlantis, general health, future changes to the Earth, sexuality, and religion.

Wesley Harrington Ketchum: Wesley Harrington Ketchum was a physician who is best known for his work with Edgar Cayce, the clairvoyant diagnostician, in the early 1900s.  Ketchum was medical born in Lisbon, Ohio on November 11, 1878 to Saunders C. Ketchum and Bertha Bennett, and was the oldest of 7 children.  He graduated from the Cleveland College of Homeopathic Medicine in 1904, and took up the practice of medicine in Hopkinsville Kentucky.  He practiced medicine in Hopkinsville until 1912.  In 1913 he traveled across country to San Francisco, and took passage to Honolulu, Hawaii, where he opened a new practice.  He returned to California in 1918, and established an office in Palo Alto California, practicing medicine there until the 1950s.  He retired to Southern California around 1963, settling in San Marino, just outside Pasadena.  He died on November 28, 1968 in Canoga Park, California.

Atlantic University: Atlantic University is an American private non-profit distance education institution of higher and continuing education in Virginia Beach, Virginia.  The university is associated with Edgar Cayce's Association for Research and Enlightenment (A.R.E.), and its administrative offices are in the Don and Nancy de Laski Education Center on the main A.R.E. campus.  The university is nationally accredited by the Distance Education Accrediting Commission (DEAC), which is a member of the Council for Higher Education Accreditation (CHEA), for its distance education and hybrid programs.  The university also maintains licensure with the State Council of Higher Education for Virginia (SCHEV).

Association for Research and Enlightenment: The Association for Research and Enlightenment (A.R.E.), also known as Edgar Cayce's A.R.E., was founded by Edgar Cayce (1877–1945) in 1931 to research and explore subjects such as holistic health, ancient mysteries, personal spirituality, dreams and dream interpretation, intuition, philosophy and reincarnation.  A.R.E.'s stated mission is to help people change their lives for the better through the ideas and information found in the Edgar Cayce readings.

Thomas Joseph Sugrue: Thomas Joseph Sugrue (1907–1953) was an American writer.  He is best known today as the author of "There Is a River", the only biography of Edgar Cayce written during Cayce’s lifetime and the book that made the psychic a household name in 1942.  Still available, his biography of Cayce's life has touched the hearts of hundreds of thousands.  He also lent his writing talents to the Edgar Cayce Association for Research and Enlightenment for numerous articles and news items.

Karmic astrology: Karmic Astrology is practiced by some astrologers who believe in reincarnation though the concept of Karma is not always associated to Indian religions.  Indeed, Edgar Cayce, a devout Christian, professed that the position of the planets at birth records the time spent by the souls on other planets (or perhaps their spiritual counterparts) in between incarnations.  Some karmic astrologers have professed they can read the person's karma in a Natal chart by studying "in particular" Lunar nodes and retrograde planets.  Other astrologers, such as Dane Rudhyar's protégé Alexander Ruperti, have lectured that "everything" in the Natal Chart is karmic.

Supporting paragraphs: Paul Solomon Edgar Cayce
Answer: Atlantis