*using forcing

"met" means meeting all dense sets of the partial order. Adjoin G to V to form V[G]. In V[G], said functions can be used to show that $2^{\aleph_0} = \aleph_2$, showing that there is a model of ZFC in which CH holds. But CH is also false under another ZFC model, therefore CH is independent from ZFC.

Therefore, in order to make these functions "full", a filter must be created to "meet" every single function. Said filter is comprised of said $\aleph_2$ functions. Let G be a (generic) subset of a filter of such $\aleph_2$ functions. The functions are then all "met".

We start with a base model M of ZFC. In this case, we select V. Construct a poset P of functions regarding the model V. P is comprised of $\aleph_2$ functions from an arbitrary set S to 2. However, these functions are partial.

What color do you think weakly compact cardinals are? I associate each of the compact cardinals with shades of blue, with weakly compacts being the lightest.

supposedly “oPeN-mINdEd” people whenever someone opposite to their views is open-minded:

Good. Bluesky’s UI is better than Twitter’s.

supposedly “oPeN-mINdEd” people whenever someone opposite to their views is open-minded:

Wish this was implemented in my area (shitty-ass suburban town in Florida)

What color do you think weakly compact cardinals are? I associate each of the compact cardinals with shades of blue, with weakly compacts being the lightest.

This is why I (amateur mathematician), am not scared to be "replaced" by AI.

This is why I (amateur mathematician), am not scared to be "replaced" by AI.

In fact, the notion of a "metaphysical shadow (of something) is a social contruct.

Only the representation changes: Also, the notion of even 'notation' is highly social; 'Tsakön' likely currently doesn't mean anything in any language, but if 'Tsakön' does, then 'Tsakön' will be a mere metaphysical shadow of whatever it represents.

Text: It is idiotic to assume that the metaphysical concept of a number is equivalent to its corresponding numeral. '4' and 'IV' mean the exact same. As an analogy, take the Russian word 'сердце' (heart). Both the Latin form 'Serdtze' and 'сердцe' mean the same in Russian.