Re: Causation as a Set

>>From Osher Doctorow

Sets are an interesting nexus among many worlds and many thoughts. Not
even Saunders MacLane with his Category theory could exorcise them with
or without Latin. Take a look at Birkhoff and MacLane's A Survey of
Modern Algebra, Macmillan: N.Y. 1953, which I almost grew up with. How
many major algebraic concepts were defined in terms of sets there?
Integral domains? Yes. Fields? Yes. Groups? Yes. Vectors? Yes.
Rings? Yes. Ideals? Yes. Algebraic number fields? Yes. Modules?
Yes. Lattices? Yes. Boolean algebras? Yes.

Measure Theory in Real, Complex, Functional Analysis and Geometry and
Topology including topological space were built on sets as much as
functions, and in fact functions are relations were defined by sets.
Look at a really old book like Hewitt and Stromberg's Real and Abstract
Analysis, Springer-Verlag: N.Y. 1965 for this.

Probability and Statistics have never abandoned sets. Abandonment of
sets was left for rootless people in windy, overcrowded cities trying
to make a name for themselves without having read Shakespeare. The
French and Belgians were especially happy about that, though instead of
wind they had wine and chocolates. And where did chocolates come from?
Networking :>). Look for a network, and the French have a name for
it. Karl Marx, Adolf Hitler, Charles De Gaulle - they were all steeped
in the French "higher culture". Hitler wouldn't even bomb Paris. It
was too "precious" for him. It was so concrete! Like the guillotine,
like the Bastille, like Devil's Island, like Robespierre, like Moulin
Rouge, like Napoleon, like Waterloo, like the Maginot Line, like fur
trading, like teaching Indians to massacre settlers.

Osher Doctorow

.

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