On 2/27/2013 5:18 AM, Bruno Marchal wrote:

[SPK] Are subsets of the UD equivalent to a Boolean Algebra?## Advertising

The UD is not a set.

Dear Bruno,

`Why are you such a literalist? Are the strings that make up the`

`UD equivalent to a Boolean algebra?`

But doing some effort to translate what you say, the answer is NO. Youcan make the UD into a set by modeling it by the set of sigma_1sentences. But the negation of a sigma_1 sentence is not necessarilysigma_1, so it gives not a boolean algebra.

`I was only using the word 'subset' to indicate the components of`

`the UD, not a literal subset. Since the UD is not a set, it obviously`

`cannot have subsets, so you should be able to deduce that I am not`

`asking a question that implies otherwise. Let us try again. Are the`

`components of the UD equivalent to Boolean algebras? Yes or No. If not,`

`what relation do they have with boolean algebras?`

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