The question of whether there are different sizes of infinity has a curious history. From the time of Aristotle to the late nineteenth century, there was widespread disagreement about what to say about it, and arguments of a broadly mathematical nature were given on both sides. …
Axiomatic systems -- Zermelo-Fraenkel axioms and the axiom of choice -- Well orderings and ordinals -- Cardinals -- Models and independence -- Some class models of ZFC -- Forcing -- Violating CH -- Classical extensions -- Iterated forcing and Martin's axiom -- Some more large ca…
"Throughout American history, the government has used U.S. citizenship and immigration law to protect privileged groups from less privileged ones, using citizenship as a "legitimate" proxy for otherwise invidious - and often unconstitutional - discrimination on the basis of race…
These notes can be viewed and used in several different ways, each has some justification, a collection of papers, a research monograph or a text book. The author has lectured variants of several of the chapters several times: in University of California, Berkeley, 1978, Ch. III…
These notes can be viewed and used in several different ways, each has some justification, a collection of papers, a research monograph or a text book. The author has lectured variants of several of the chapters several times: in University of California, Berkeley, 1978, Ch. III…
