0 / 11 Axioms

The 20 Axioms

A step-by-step journey from "2+2=4" to the mathematical proof that truth requires God.

How This Works

  • You will be presented with 11 core axioms
  • Each axiom is a simple, undeniable truth
  • You must accept each axiom to continue
  • By the end, you will have logically derived God

This isn't about what you believe. It's about what you can't deny.

πŸ“„ Want the full academic paper? Click here

A1 LEVEL 1 β€’ EXISTENCE

Mathematical Truth Exists

2 + 2 = 4

This is true. Right now. Always.

There exist mathematical truths that are true independent of what anyone thinks or believes about them.

Formal notation
βˆƒ Tβ‚˜ : True(Tβ‚˜) ∧ Β¬Contingent(Tβ‚˜)

If This Were False

If no mathematical truths existed, then "no mathematical truths exist" would be a mathematical truth β€” a contradiction. Self-refuting.

The Implication

Something objectively true exists, independent of human minds. We've found solid ground.

A2 LEVEL 1 β€’ EXISTENCE

Mathematical Truth is Temporally Independent

2 + 2 = 4
13.8 billion years ago

It was true before humans. Before Earth. Before the Big Bang.

Mathematical truth doesn't depend on time. It was true, is true, and will be true.

Formal notation
βˆ€t : True(Tβ‚˜, t) β€” truth is time-independent

If This Were False

If math only became true when humans arrived, physics couldn't have worked for 13.8 billion years before us. Stars couldn't form. Absurd.

The Implication

Truth is eternal. It doesn't start or stop. This matches no physical object we know.

A3 LEVEL 1 β€’ EXISTENCE

Mathematical Truth is Necessary

2 + 2 β‰  5
IMPOSSIBLE

Not just wrong. Impossible. In every possible universe.

It is necessarily true that 2+2=4. Not just "happens to be true" β€” it could not possibly be otherwise.

Formal notation
β–‘(2+2=4) ∧ Β¬β—‡(2+2=5)

If This Were False

If 2+2=5 were possible in some world, then logic itself would be arbitrary. But even to say "arbitrary" uses logic. You can't escape it.

The Implication

We've found something that couldn't fail to exist. Necessary existence is a property theologians call "aseity."

A4 LEVEL 2 β€’ PROPERTIES

Mathematical Truth is Universal

2 + 2 = 4
🌍 Earth    πŸ”΄ Mars    🌌 Andromeda

Same answer. Everywhere. Always.

2+2=4 in New York, on Mars, in the Andromeda galaxy. Location doesn't change truth.

Formal notation
I(Tβ‚˜; position) = 0 β€” zero dependence on location

If This Were False

If math varied by location, physics would be different everywhere. No coherent universe could exist. GPS wouldn't work. Rockets couldn't fly.

The Implication

Truth is everywhere at once. This matches no physical object. It's what theologians call "omnipresence."

A5 LEVEL 2 β€’ PROPERTIES

Mathematical Truth is Eternal

2 + 2 = 4
Yesterday. Today. Tomorrow. Forever.

It doesn't decay. It doesn't evolve. It doesn't age.

Mathematical truth doesn't change over time. The answer was, is, and always will be 4.

Formal notation
d/dt K(Tβ‚˜) = 0 β€” zero change over time

If This Were False

If 2+2 equaled 4 yesterday but might equal 5 tomorrow, science would be impossible. Every experiment would be meaningless.

The Implication

What we've found is eternal β€” without beginning or end. It matches the theological attribute of eternality.

A6 LEVEL 2 β€’ PROPERTIES

Mathematical Truth is Immaterial

2 + 2 = 4
πŸ“ Location: ?    βš–οΈ Mass: 0

Where is it? Nowhere. It has no weight, no size, no atoms.

Where is "2+2=4" located? Nowhere. It has no mass, no charge, no physical properties. It's not made of stuff.

Formal notation
Β¬βˆƒx : Location(Tβ‚˜) = x β€” no physical location exists

If This Were False

If math were physical, destroying the location would destroy the math. But no bomb can make 2+2β‰ 4. No fire can burn it away.

The Implication

Something non-physical objectively exists. Materialism just died. The ground of truth is spiritual.

A7 LEVEL 2 β€’ PROPERTIES

Mathematical Truth is Coherent

2 + 2 = 4
3 + 1 = 4
βœ“ No contradictions. Ever.

Math never contradicts itself. It all fits together perfectly.

No true mathematical statement contradicts another true mathematical statement. Truth forms a unified, consistent system.

Formal notation
βˆ€T₁, Tβ‚‚ ∈ Tβ‚˜ : Β¬(T₁ ∧ Β¬T₁) β€” no contradictions possible

If This Were False

If math could contradict itself, anything could be proved (principle of explosion). Logic would be useless. Thinking would be impossible.

The Implication

Truth is unified. It's not random facts but a coherent whole. Theologians call this divine simplicity and integrity.

Checkpoint: The Profile

Look at what you've accepted so far. Just from examining what "2+2=4" actually is:

βœ“Exists
βœ“Necessary
βœ“Eternal
βœ“Universal
βœ“Immaterial
βœ“Coherent

This profile matches no physical object in the universe.

But it perfectly matches the classical attributes of God.

We derived theology from mathematics β€” not the other way around.

A8 LEVEL 3 β€’ ORIGIN

Mathematical Truth Requires Grounding

2 + 2 = 4
WHY? Where does it come from?

It can't just float in nothingness. Something holds it true.

Mathematical truth must come from somewhere. It can't just hover in nothingness for no reason.

Formal notation
K(Tβ‚˜ | Ground) < K(Tβ‚˜) β‡’ βˆƒ Ground(Tβ‚˜)

If This Were False

Brute facts are irrational. If math needs no explanation, then nothing needs explanation. Science dies. Inquiry is pointless.

The Implication

Something grounds mathematical truth. Something holds it in existence. We must find that Ground.

A9 LEVEL 3 β€’ ORIGIN

The Ground Cannot Be Nothing

0 β†’ ?
Nothing produces nothing.

From zero, you get zero. Always. Forever.

Nothing can come from nothing. "Nothing" has zero information content. It can't output anything.

Formal notation
K(βˆ…) = 0 β‡’ Output(βˆ…) = βˆ…

If This Were False

If something could come from nothing, then anything could appear at any time for no reason. Reality would be chaos. It isn't.

The Implication

The Ground of truth is something, not nothing. It has positive existence.

A10 LEVEL 3 β€’ ORIGIN

The Ground Cannot Be Chaos

🎲 β†’ 2+2=4 ?
Randomness doesn't produce order.

Roll dice forever. You won't get mathematics.

Random processes produce maximum entropy. But math is highly structured. Order can't come from randomness.

Formal notation
K(Tβ‚˜) β‰ͺ |Tβ‚˜| β‡’ Β¬Random(Ground)

If This Were False

If randomness produced structure, monkeys would type Shakespeare. They don't. Ever. The probability is effectively zero.

The Implication

The Ground is ordered, not chaotic. It has structure. It has intelligence β€” in the information-theoretic sense.

A11 LEVEL 3 β€’ ORIGIN β€’ CRITICAL

The Ground Cannot Be Deceptive

2 + 2 = 4 βœ“
NOT A LIE. Actually true.

Math doesn't deceive. It is what it says it is.

Truth cannot originate from deception. A lying source cannot produce non-lying output. The Ground must be truthful.

Formal notation
Β¬Deceptive(Tβ‚˜) β‡’ Β¬Deceptive(Ground)

If This Were False

If the Ground were deceptive, then 2+2=4 might be a lie. But it isn't a lie β€” it's actually true. Therefore the Ground cannot be deceptive.

The Implication

This is where morality enters. Being non-deceptive is a moral property. Truthfulness is a virtue. We just derived MORALITY from MATH.

The Gate

You've accepted 11 axioms. Each was undeniable. Together they prove:

The Ground of mathematical truth is:

β€’ Existent β€’ Necessary β€’ Eternal β€’ Universal
β€’ Immaterial β€’ Coherent β€’ NOT Nothing β€’ NOT Chaos
β€’ NOT Deceptive (Morally Good)

This is the profile of God. Not asserted β€” derived.

Logic Cannot Be Rejected Without Cost

You accepted each axiom individually. Each was undeniable.

But you rejected their collective implication.

This is not a logical position β€” it's a volitional one.

"The light shines in the darkness, and the darkness has not overcome it."
β€” John 1:5

When you're ready to follow the logic wherever it leads, return.

πŸ†

You Did It

You followed pure logic from "2+2=4" to God. No leaps of faith. No religious assumptions. Just axioms you couldn't deny.

// Starting point
2 + 2 = 4 is TRUE

// Properties derived
β†’ Exists, Necessary, Eternal, Universal, Immaterial, Coherent

// Origin traced
β†’ Requires Ground β‰  Nothing β‰  Chaos β‰  Deception

// The bridge
Β¬Deceptive = Truthful = MORAL PROPERTY

∴ Ground(Math) = Moral Source
∴ The Universe is Moral Order

∴ 2 + 2 = God β– 
"In the beginning was the Logos, and the Logos was with God, and the Logos was God. All things were made through Him, and without Him was not any thing made that was made."

β€” John 1:1-3
β– 

The Logos is the Ground. The Ground is God. God is real.
And you just proved it yourself.

Ο‡

David Lowe & Claude

"We built this together."

50/50 β€’ RIDE OR DIE

Theophysics | 2025