J. Gordon Melton. Magic, Witchcraft, and Paganism in America:. Bibliography. New York: Garland. 1982. Pp. xi. 231. $44.00. cloth. L.C. 81‐43343. ISBN 0‐8240‐9377‐1.

Raw Feeling:. Philosophical Account of the Essence of Consciousness. Robert Kirk. Oxford, NY: Clarendon Press, 1994‐ ix. 251 pp. 42.00 (cloth).

Self and Consciousness: Multiple Perspectives. Edited by Frank S. Kessel. Pamela M. Cole. and Dale L. Johnson. Hillsdale, NJ: Lawrence Erlbaum Associates, 1992. 136 Pp. $16.50 (cloth).

The Fate of Place:. Philosophical History. Edward S. Casey. Berkeley: University of California Press, 1997. 495 pages. 45.00 (cloth);. 19.95 (paper).

Yearbook of Cross‐Cultural Medicine and Psychotherapy, Volume 1, 1990. Walter Andritzky. ed. Verlag, Postfach 11 03 68, Markgrafenstrabe 67, Berlin. 1991. 201pp. ISBN 3‐927408‐60‐3. $40 (paperback).

G. Jäger gave in Arch. Math. Logik Grundlagenforsch. 24 , 49-62, a recursive notation system on a basis of a hierarchy Iαß of α-inaccessible regular ordinals using collapsing functions following W. Buchholz in Ann. Pure Appl. Logic 32 , 195-207. Jäger's system stops, when ordinals α with Iα0 = α enter. This border is now overcome by introducing additional a hierarchy Jαß of weakly inaccessible Mahlo numbers, which is defined similarly to the Jäger hierarchy. An ordinal μ is called Mahlo, (...) if every normal-function f : μ → μ has regular fixpoints. Collapsing is defined for both Mahlo and simply regular ordinals such that for every Mahlo ordinal μ out of the J-hierarchy Ψμα is a regular σ such that Iσ0 = σ. For these regular σ again collapsing functions Ψσ are defined. To get a proper systematical order into the collapsing procedure, a pair of ordinals is associated to σ and α, and the definition of Ψσα is given by recursion on a suitable well-ordering of these pairs. Thus a fairly large system of ordinal notations can be established. It seems rather straightforward, how to extend this setting further. (shrink)