Hi, this week we've been exploring new dimensions
and one of the biggest changes in our world today
is artificial intelligence. Now one idea I find
most fascinating about AI is that relationships
themselves can become geometric. Now that may
sound odd at first, but it's actually a beautiful
mathematical idea. Our intuition is usually that
language comes from a dictionary. where we have
definitions, rules, and grammar. But when AI
works with language, it does not simply store
words like dictionary entries. Instead, words
and ideas are placed into enormous mathematical
spaces with many dimensions. And in those spaces,
similar ideas are positioned near each other.
Different ideas are further apart. For example,
the words king, queen, man, and woman all develop
relationships to one another inside this geometric
landscape. A famous example in AI is king minus
man plus woman approximately equals queen. And
I find this pretty interesting. Meaning itself
becomes shape. Relationships become geometry.
And AI was not explicitly programmed with all
of these connections. Many of the patterns emerge
naturally as the system learns relationships
from enormous amounts of information. The more
dimensions available, the richer the understanding
becomes. In a simple two -dimensional world,
relationships can overlap and become difficult
to organize. But in higher dimensions, patterns
separate more naturally. Suddenly, AI can recognize
faces and voices, writing styles, even emotions
and language, and connections between ideas.
I think this is another example of what Eddie
Wu means when he says mathematics gives us a
new sense for seeing reality. Math allows us
to see relationships that were previously invisible.
Not just isolated facts or definitions, but connections
between things. And what I have found is the
deeper I explore mathematics, the more alive
it feels. Algebra connects to geometry. Geometry
connects to motion. Motion connects to waves.
Waves connect to sound and light. Patterns connect
across completely different areas of reality.
Now, the big idea in all this is the branches
keep connecting back to the same living tree.
And in many ways, AI itself is connecting mathematics
back to ordinary human life. When we use AI,
we are not merely performing a search. We're
bringing our questions. We bring our struggles.
our ideas, and our relationships into conversation.
AI intersects mathematics, language, and human
experience. But as fascinating as AI is, we are
not machines. We have something deeper, a soul.
For starters, the human soul has the ability
to transform knowledge into wisdom. Wisdom is
not simply collecting more information. It is
developing a new sense for how things connect.
A difficult experience deepens compassion. Failure
produces humility. Suffering changes how we understand
others. Over time, disconnected moments begin
forming a larger pattern. We begin realizing
life is not merely a collection of isolated events.
It is a connected story. Now, AI improves through
new versions and updates. But we humans, we have
the opportunity to be transformed at the soul
level. And perhaps transformation begins when
we stop seeing life as scattered pieces and begin
seeing the hidden geometry that is holding everything
together.