منابع مشابه
The HOD Dichotomy
This paper provides a more accessible account of some of the material from Woodin [4] and [5]. All unattributed results are due to the first author. Recall that 0# is a certain set of natural numbers that codes an elementary embedding j : L → L such that j 6= id L. Jensen’s covering lemma says that if 0# does not exist and A is an uncountable set of ordinals, then there exists B ∈ L such that A...
متن کاملThe Kraepelinian dichotomy.
McDonald et al (2005) investigated the Kraepelinian dichotomy of psychosis using brain imaging. They reported distinct grey matter volumetric deficits in patients with schizophrenia and those with psychotic bipolar I disorder but common white matter abnormalities in the two disorders. Kraepelin distinguished dementia praecox and manic–depressive psychosis on the basis of symptomatology, course ...
متن کاملThe Kraepelinian dichotomy
McDonald et al (2005) investigated the Kraepelinian dichotomy of psychosis using brain imaging. They reported distinct grey matter volumetric deficits in patients with schizophrenia and those with psychotic bipolar I disorder but common white matter abnormalities in the two disorders. Kraepelin distinguished dementia praecox and manic–depressive psychosis on the basis of symptomatology, course ...
متن کاملThe Dichotomy Theorems
1. The G0 dichotomy A digraph (or directed graph) on a set X is a subset G ⊆ X \ ∆. Given a digraph G on a set X and a subset A ⊆ X, we say that A is G-discrete if for all x, y ∈ A we have (x, y) / ∈ G. Now let sn ∈ 2 be chosen for every n ∈ N such that ∀s ∈ 2<N ∃n s v sn. Then we can define a digraph G0 on 2N by G0 = {(sn0x, sn1x) ∈ 2N × 2N ∣∣ n ∈ N & x ∈ 2N}. Lemma 1. If B ⊆ 2N has the Baire ...
متن کاملThe Acyclic Group Dichotomy
Two extremal classes of acyclic groups are discussed. For an arbitrary group G, there is always a homomorphism from an acyclic group of cohomological dimension 2 onto the maximum perfect subgroup of G, and there is always an embedding of G in a binate (hence acyclic) group. In the other direction, there are no nontrivial homomorphisms from binate groups to groups of nite cohomological dimensio...
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ژورنال
عنوان ژورنال: Worldview
سال: 1977
ISSN: 0084-2559,2576-3466
DOI: 10.1017/s0084255900019495