Oddbean

With this talk of identities, are you familiar with the concept of divine simplicity? Many philosophers have held that God must be identical with each of his attributes, so that He is wholly one, and not composed of parts. This makes God the ultimate identity.

putting identities on infinity is like saying that 1 equals ONE MILLION yes, it is true in one very very singular narrow sense see how important nothing, singular and infinite are to arithmetic? i assert that the very basis of folly is exactly extending the singular relation of two concepts beyond their actual relation

there is a linguistic equation in this too singularities are like adjectives, and nouns at the same time what sense are you equating two things together is quite crucial, is it qualitative or quantitative? if Jesus is literally God then I can stop using Jesus as a word because that is a redundant and subordinate adjective or synonym (noun with the same referent) the difference between the two is clearly Qualitative and therefore their equality is narrow

yes, it is an AND God is a number - infinity, and a quality - uncountable we use that word "uncountable" in the sense that we would require infinite time to count all the attributes mathematicians play with this nonsense all the time with their "real" numbers but that's something a mathematician can never show you a "real" number, that is not an integer or a limited precision representation.

Can't be both, that is a contradiction in terms. Something that is one is not composed of parts, and something that is composed of parts is not one. Deny that, and you have to throw out all of logic. Y'all are denying the law of non-contradiction.

you can relate infinity and nothing but you can only relate finitude with other finitude when you relate finitude with infinity or nothing you get infinity or nothing, they are special identities they even can be categorised: countable and uncountable ironcially, "real" numbers are literally uncountable when it comes down to it, any number you can represent is finite and singular, and thus it can be related to any other finite and singular value infinity and nothing are qualities, not numbers it's not that God is not composed of many parts, it's that He's composed of infinite parts, so you can sit there listing them until you drop dead, and still not even touch a fraction because there is no fraction of infinity

the real question is, can you equate the parts with the whole? obviously not! thus you can't say infinity = 1 but you can assert a relation between infinity and nothing, that's a separate thing, they are the boundary conditions of counting infinity is endless counting, nothing is not counting

That is, I think, missing the point. If God is identical with his attributes, and we can say God is infinite, then it is also true the infinite is God. God has to possess all objects and categories in Himself in some way, or He could not create all of them. Yet His creations are distinct from Himself. Perhaps that's a more philosophical way to state what you've been trying to talk about mathematically?

the proper name for it is ontology relates to set theory as well, you could use set concepts to explain it God is the infinite set all things are members of the God set equality in set theory means the identical set, obviously this means no subset of the God set can be God The trinity itself is a subset of the God set, the Father, the Son and the Holy Ghost are subsets of God ah yes and the last one that makes it all the best fun Any infinite set can contain another infinite set i was reading about this a few weeks ago, how there is many kinds of infinity... i suppose there must be infinite kinds of infinity, ultimately in my opinion, to know mathematics, arithmetic, set theory, algebra, physics, and to not have an inkling of the God set is wanton blindness