Richard Jeffrey’s radical probabilism (‘probability all the way down’) is augmented by the claim that probability cannot be turned into certainty, except by data that logically exclude all alternatives. This claim is illustrated in frequentist language by an infinite nesting of confidence levels, and in Bayesian language by means of Jeffrey’s updating of odds.

A group $G$ has a finite special rank $r$ if every finitely generated subgroup of is by at most elements and there which exactly generators. If not such $r$, then we say that infinite rank. In this paper, study generalized radical non-abelian groups whose subgroups are transitively normal.

A unitary strongly prime ring is defined as a prime ring whose central closure is simple with identity element. The class of unitary strongly prime rings is a special class of rings and the corresponding radical is called the unitary strongly prime radical. In this paper we prove some results on unitary strongly prime rings. The results are applied to study the unitary strongly prime radical of...

We prove that the solvable radical of a finite group G coincides with the set of elements y having the following property: for any x ∈ G the subgroup of G generated by x and y is solvable. We present analogues of this result for finite dimensional Lie algebras and some classes of infinite groups. We also consider a similar problem for pairs of elements.

According to radical probabilism, all factual claims are merely probabilistic in character. Throughout the centuries this view has been criticized on the grounds that it triggers an infinite regress: if every claim is probabilistic, then the proposition that something is probable is itself only probable, and so on. An endless hierarchy of probabilities seems to emerge and, as a result, the prob...

qct calculations were performed to study the behavior of energized nh2oh formed by association collision of nh2 radical with oh radical. a potential energy surface that describes the behavior of the title reaction has been constructed by interpolation of ab initio data. h2o, hon, hno, nh3, o, h2no, cis or trans-honh, and h products and two vibrationally energized nh2oh and nh3o adducts were obs...

Munn [11] proved that the Jacobson radical of a commutative semigroup ring is nil provided that the radical of the coefficient ring is nil. This was generalized, for semigroup algebras satisfying polynomial identities, by Okniński [14] (cf. [15, Chapter 21]), and for semigroup rings of commutative semigroups with Noetherian rings of coefficients, by Jespers [4]. It would be interesting to obtai...

As part of the Southern Oxidants Study, Brookhaven National Laboratory operated an intensive measurement site near Metter, Georgia, during parts of the summers of 1991 and 1992. Measurements were made of photochemically active trace gases and meteorological parameters relevant to determining causes for elevated ambient ozone concentration. The 1992 data set was used to calculate peroxy radical ...

A subgroup H of a group G is contranormal if HG=G. In finite groups, there are no proper subgroups, then the nilpotent but this not true in infinite groups as well-known Heineken–Mohamed show. We call such without subgroups “contranormal-free.” article, we prove various results concerning contranormal-free proving, for example that locally generalized radical which have section rank hypercentral.

a group g is said to be a (pf)c-group or to have polycyclic-by-finite conjugacy classes, if g/c_{g}(x^{g}) is a polycyclic-by-finite group for all xin g. this is a generalization of the familiar property of being an fc-group. de falco et al. (respectively, de giovanni and trombetti) studied groups whose proper subgroups of infinite rank have finite (respectively, polycyclic) conjugacy classes. ...