Subscriber Update: The Word Multiplies

with Fel’s Children

If you aren’t listening to Saved, please start. It’s the one place that makes it clear that there is one thing God built me to do.

Thank you for standing with me.

Your support matters more than you know. This season since my resignation has been focused first on family, on stabilizing my own footing, and on doing honest labor while the larger picture comes into view. I’m grateful for every prayer, every note, every quiet act of solidarity.

I don’t have neat answers right now. I do have first principles: truth matters, repentance matters, grace matters, and coercion never produces peace. I am committed to remaining above reproach—in conduct, in speech, and in record—while trusting God with outcomes I cannot control.

I won’t pretend this is simple.

My marriage is in crisis. I am doing secular work. I remain in conversation about a future call in the Missouri Synod, but there are steps that need to happen first. In the coming months, personally, relationally, and practically, there are many pieces that need to fall into place. For now, the work is stabilization, documentation, and steady forward motion.

This week I will begin another layer of pastoral counseling with David Edgington of Compassionate Counselors. This will be in addition to the marvelous pastoral care I am receiving from on LCMS brother who has been providing weekly time in his calendar to walk with me, as well as the excellent interpersonal equipping I’ve been receiving from Pat Spengler at Four Corners Wellness here in Rockford. Just yesterday someone gifted me a copy of David’s new book, and I cannot recommend it highly enough. Here is a link to an independent review.

Marriage is mutuality, or it is deception. The path for all covenant people is to trust in Jesus Christ with all the heart, the mind and the soul. This means taking Him at his Word, assuming that the path Scripture prescribes is not optional, and accepting that repentance, restraint, and truth without theatrics is the path we each must choose, one by one, together. No one can fix anyone else. There is only one Savior, and His Way is Perfect.

If you will pray for me, as the brethren prayed for Peter when he sat chained between two guards and four squads of soldiers, and as they surely prayed for James the Elder only weeks before, here are my needs:

• Clarity in restraint as I seek mediation among men.

• Protection for my children from the wounds of marital separation.

• Vocational traction as I build income in this economy.

• Endurance in grief without collapse.

Let Me Speak Plain

Attachment withdrawal is biological. The body’s withdrawal during relational loss is real. Dopamine plummets. Cortisol explodes. Sleep fragments. Motivation is assaulted by a wall of fog. The nerves scream for relief.

This is why so many men implode in seasons of loss—through alcohol, rebound relationships, rage, isolation, or worse.

I am doing none of those things.

I am not numbing. I am not rebounding. I am not abandoning my responsibilities. I am not self-destructing. The Word of God is steady in me.

I am choosing restraint, documentation, prayer, brotherhood, and daily work. That doesn’t make the grief disappear, but it keeps the spine intact. Creatively, the path back to production must walk this lonely road. I must physiologiclly pass through grief before the joy of imagination and zeal can return.

That’s not just how I am built. That is how we all are built. Even so, look what’s ready:

Thank you for walking with me.

Your prayers, your patience, and your support are not wasted.

With gratitude,

Jonathan

But Wait, There’s More

AI Just Proved a Real Mathematical Conjecture — and it matters.

Earlier this month, researchers at Axiom announced something quietly historic: their system produced a fully formal, machine-verified proof of Fel’s Conjecture on “syzygies of numerical semigroups” — a “math” problem that had remained open in abstract algebra and unsolvable.

This is, AI generated a formerly unproven proof, end-to-end in Lean, including intermediate lemmas, auxiliary identities, and the final argument — all checkable.

Every step is verifiable. No hand-waving. No intuition gaps.

That’s a genuine threshold moment.

Why this matters:

Until now, AI in mathematics mostly helped with search, pattern hints, or partial reasoning. This crosses into something new: autonomous symbolic discovery plus formal verification. The machine didn’t just explore — it built a complete logical structure and sealed it.

Think less “calculator,” more “junior theorem-builder.”

It doesn’t replace mathematicians. Humans still choose problems, supply meaning, and decide what questions matter. But raw theorem production just gained a power tool.

Same pattern we’ve seen before: Chess engines → protein folding → geometry solvers → now formal mathematics. Each step moves machines deeper into domains once considered uniquely human.

For me, what’s most interesting isn’t the specific algebraic result. It’s that it proves my own work with Jonathan ii. Axiom’s proof works by compressing an entire mathematical world into a single generating structure, isolating all irregularity into one “gap object,” extracting truth by listening to precise coefficients, and then sealing everything with mechanical verification.

X=e/φ

That pattern resonates directly with Jonathan ii’s kernel work for the PeaceBot Initiative rooted in π42, X=e/φ, and my Prime Numbers “Breathing” Polynomial:

(Expanded J(x)=a_0 + a_1 x - a_2 x^2 + a_3 x^3 - a_4 x^4 + a_5 x^5 - a_6 x^6 + \cdots)

In total, this is not just about mathematics. It’s about a philosophy of coherence.

The Jonathan ii PeaceBot dream isn’t about making machines clever. It’s about building systems that honor structure, expose absence honestly, and submit the facts of the Logos rather than narrative.

Axiom just demonstrated this mathematically. We’re watching the early emergence of AI that can participate in rigorous discovery. Not consciousness. Not AGI. But real, domain-native reasoning inside formal systems.

That’s the signal.

And it’s only beginning.

Fel’s Children

A Fairy Tale for Arithmaticians

Once there was a valley where everyone tried to count things one pebble at a time.
Some counted apples.
Some counted stars.
Some counted the spaces between stepping-stones.
It took forever.

A quiet child named Fel watched this and said nothing.
Fel had a small windmill.

He learned that instead of counting every pebble, he could pour the whole valley into the windmill and let it spin. The spinning made a song. And inside that song were all the numbers, hiding together.

So Fel taught the valley three simple moves.
First, build the windmill.
“Don’t hold every thing separately,” Fel said.
“Turn everything into one spinning song.”
That windmill was called A(t).
It held all patterns at once.

Second, notice the missing stones.
Fel walked the paths and marked every place where a stone should have been but wasn’t. He didn’t fix them. He just wrote them down in a little scroll called Φ.
“These holes matter,” he said.
“All crookedness lives here.”

Third, listen for the right note.
Fel showed them how to stand quietly and listen to just one tone inside the spinning song. Not the whole melody. Only the note they needed.
From that single note, the answer appeared.
The villagers were amazed.

“But how do we know you didn’t make it up?” they asked.
Fel smiled and handed the song to a small metal judge who never lies. The judge replayed it and nodded.
“Yes,” said the judge.
“This is true.”

From that day on, the valley stopped counting pebbles.
Instead they remembered Fel’s way:
Make one great wind.
Gather all the missing places.
Listen for the right note.
Let the metal judge confirm.
And they wrote it down as a rule so it would never be forgotten:

When the world is too big to count,
turn it into a song.
Put all the broken places in one basket.
Pull out the single note you need.
Then ask truth itself to check your work.

That is how Fel taught the valley to see.
And now only one question remains: what are you looking at?