Re: An uncountable countable set



Tony Orlow wrote:
MoeBlee wrote:
Tony Orlow wrote:
MoeBlee wrote:
Tony Orlow wrote:
Yes, and the universe is consistent by definition, so math should be
consistently overall as well.
Unless the universe is a set of sentences, the notion of consistency
does not even apply.
The universe is governed by the properties of the elements within it,
which properties are statements true about those elements.

You are taking properties to BE statements. That's fine if you have
some coherent philosophy to support it.

Actually, I am taking properties to be truth values applied to
statements about a given object. "It is red" is a statement with a truth
value close to 1 for most fire engines, and a truth value near 0 for
most newspapers (except in old jokes). Fire engines have the property
that that statement is usually true for them. So, a property is a truth
value associated with a statement. Better?

So, by directly plugging in your definition of 'properties', your
previous statement becomes: "The universe is governed by the truth
values applied to statements about given objects of the elements within
it, which truth values applied to statements about given objects are
statements true about those elements.

Whatever that means, it is difficult to see that it implies that
consistency is a property of the universe as opposed to a property of
sets of sentences.

MoeBlee

.



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