We define a set in terms of boundary values in dimensions. A set is all the points or objects that are constrained by the intersection of the defining dimensions.

So a set is created by the intersection of multiple dimensions... [?]

Ordinarily, a set is any collection of elements -- put together for any reason

When somebody is "making a point" in a sentence, we want to look at the question of how that sentence or paragraph or composite of semantic elements combine to establish a "point" in abstract space that is significant.

This is what I want to talk about...

Let's say that normal common conversation is generally conducted in "synthetic dimensions" -- some of which might be "quantitative" -- but most of which is usually not.

So we want to make the argument that

• The object of speech /language is to make a point -- to make points

• So we are talking in a complex array of usually-qualitative dimensions
  • We have generally agreed on the innate/inherent dimensionality of the words we use -- whether they are verbs or nouns

  • So we compile these nested distinctions into (linear - sequential) strings -- and then intersect these dimensions

  • The "point we are making" is a point constrained within the intersection of the simultaneous dimensionality we just invoked

What makes that point "significant"? Why does it "matter"?

We know these things instinctively, and we use these ideas every day.

But how does it actually work?

We say this "point" is an intersect like a Venn diagram in synthetic dimensional values

These values are complex objects defined in boundary value ranges

These dimensions are a range of values - and we specify those dimensions, and the values we want to affirm for those dimensions

And we include several of them in "making a point"

If we specify five qualitative dimensions, we define the point in those five dimensions -- each one of which is qualitatively defined in a range, and which combine in an intersect which established this "point" at the intersect of these dimensions and the values we have assigned/stipulated

*****

The argument for semantics is

Human conversation and writing is intended to "make points" -- as in "what is your point?"

If you are vague and confused -- your comments are "pointless"

"What is the point of doing this?"

Fri, Apr 16, 2021