Yet another weird SF fan


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Yet another weird SF fan
 

Saturday, November 01, 2014

What If Math Is Politicized?

After reading about the politicization of absolutely everything, I've wondered what might happen if mathematics is politicized. Is the Axiom of Choice libertarian? Is the Axiom of Determinacy part of the regulatory state? Is the Power Set Axiom fascist? (It's a collectivist axiom that treats the individual points on a line as part of an amorphous blob that is given without regard to the points that make it up.)

On the other hand

Meanwhile, it looks like Ezra Klein ended the essay with an attempt to inspire fear on the Right. Please recall the Left tried to get Phil Robertson fired. They failed. They had earlier tried to get Rugh Limbaugh fired. They failed.

Addendum: Since the context of “amorphous blob” was not present in the Google search, I'll include it below:

… set theory with \(\mathsf{V}=\mathsf{L}\) does not take the continuum as an amorphous blob whose existence is provided by the power set axiom. … What is emphasized here is that the abstract power set axiom is the basis of Zermelo set theory, while the notion of transfinite ordinal number is the basis of constructible set theory. … It is in questions concerning the axiom of choice that these two approaches begin to differ. If one is to put his faith in an amorphous blob, why should it be well-ordered. Alternatively, if the real line is something which arises from faith in transfinite iteration, there had better be a definable well-ordering.
Points just want to be free!

1 Comments:

Anonymous Vader said...

I favor giving the vote to points.

It would screw up the many polls that turn every politician into a demagogue.

Because points have no measure.

12:44 PM  

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