Twenty-five short animated explainers: one premise, and twenty-four claims about life that physics, chemistry and biology each support on their own.
Axiom zero · 6 min 53 s
Axiom zero holds that all existence is due to the willful acts of a creator.
That premise cannot be proved. But we can ask how improbable existence is, if chance alone did the work.
So we stack the improbabilities, step by step, and see how large the number gets.
By one millionth of a second after the Big Bang, the four forces had taken their separate forms: gravity, the strong force, the weak force, and electromagnetism.
Each has a strength, and life needs each one to sit inside a narrow window.
Gravity against electromagnetism, about one part in ten to the fortieth. The strong force, about one in two hundred and thirty. The weak scale, about one in ten to the thirty-second. And the vacuum energy, one in ten to the one hundred and twentieth.
Multiply them, and the first stack stands at about one in ten to the one hundred and ninety-four.
Next, the origin of life. How improbable is it for inert chemicals to become a living cell?
Design arguments use a 2004 estimate by Douglas Axe: roughly one in ten to the seventy-seven sequences of a 150-unit protein would fold into a working shape.
The smallest synthetic cell, built in 2016, needs 438 protein-coding genes. If each were an independent one in ten to the seventy-seven event, you multiply them all: one in ten to the thirty-three thousand, seven hundred and twenty-six.
Fred Hoyle reached a similar scale by his own route, one in ten to the forty thousand. For comparison, the observable universe holds about ten to the eighty atoms.
So far the stack is large, but critics say it leans on chemistry. So consider something that does not: the starting condition of the universe itself.
The Big Bang began in an extraordinarily orderly, low-entropy state. Roger Penrose estimated the odds of such a starting state, out of all possible ones, at one in ten to the ten to the one hundred and twenty-third.
That is a tower: ten raised to a number with one hundred and twenty-four digits. Writing it out would take more digits than there are atoms in the observable universe, by a factor of ten to the forty-three.
Penrose measured a volume of possibilities, and there is no agreed way to weigh them. But physicists do agree that early order was strikingly special.
The argument has replies to each objection, and each reply adds more improbability.
Objection: evolution builds step by step. But selection needs something that copies itself, and the first copier must arise first. The smallest RNA enzyme that copies RNA is about one hundred and ninety letters long. If only one sequence worked, that is one in ten to the one hundred and fourteen. Many sequences may work, so this is a ceiling on the difficulty.
Objection: the genetic code is just chemistry. But in 1998, Freeland and Hurst found that only about one random code in a million protected against mutation damage as well as ours does.
Objection: we only exist where this works. That explains why we observe order. It does not explain why order was available. If a firing squad all misses, you are alive to notice, but you still ask why.
Objection: there are many universes. But a process that makes universes needs its own special laws and starting conditions, so defenders say this moves the improbability back a step. Physicists dispute whether it does.
Objection: a creator would need explaining. Defenders reply that a creator is proposed as a necessary being, not a chance outcome, so the odds do not apply to it. Critics dispute that.
Now add them all. Improbabilities multiply, so their exponents add.
The four forces contribute about one hundred and ninety-four. The origin of life contributes thirty-three thousand, seven hundred and twenty-six. The genetic code adds six. Together, about thirty-three thousand, nine hundred and twenty-six.
Then the starting order of the universe, with an exponent of ten to the one hundred and twenty-third. Next to that, everything else is a rounding error. The total is about one in ten to the ten to the one hundred and twenty-third.
Even if you discard the entire origin-of-life step, that headline figure does not visibly change. But it is also the hardest of these numbers to define as a probability.
Here is the argument, in its strongest form.
One. If existence arose by chance alone, a random process would have had to beat odds far beyond one in ten to the thirty-three thousand.
Two. Nothing else we study is accepted as a chance outcome at odds like that.
Three. Any random explanation therefore asks us to believe in a single event, or one unbroken chain of events, more improbable than anything we can imagine.
Four. So, the argument concludes, the better explanation is a purposeful cause, a creator. That is the case for axiom zero.
Now, what still stands against it, because an honest argument names that too.
The replies are not proofs. Nobody knows the range the constants could take, so no agreed probability exists for the forces or the starting state. And chemistry may have routes we have not found, with many working sequences.
The anthropic and many-universes replies are not settled either. Physicists disagree on whether a multiverse is testable, or whether it only moves the question.
And whether a creator needs a cause is a philosophical dispute that arithmetic cannot settle. Low odds for chance do not, by themselves, make design probable.
So axiom zero stays an axiom: a premise one chooses, not a theorem the arithmetic proves. The arithmetic shows how large the number is. What it points to is a judgment no calculation can make.
The rationale
Axiom zero says all existence is due to the willful act of a creator. No experiment can prove that. What can be measured is the other side of the question: how improbable existence is if chance alone did the work. The case below stacks those improbabilities, answers the usual objections, states the argument in its strongest form, and then lists what still stands against it.
Independent improbabilities multiply, so their exponents add. Each layer below comes from a different field.
| Layer | Odds against | Basis | How firm it is |
|---|---|---|---|
| The four forces | 1 in 10194 | Gravity against electromagnetism, 1 in 1040. Strong force, about 1 in 230. Weak scale, 1 in 1032. Vacuum energy, 1 in 10120. | Narrow windows for each force are widely discussed. No agreed probability exists, because the allowed range of each constant is unknown. |
| Origin of life | 1 in 1033,726 | Axe (2004): about 1 in 1077 sequences of a 150-unit protein fold into a working shape. The smallest synthetic cell (Hutchison et al., 2016) needs 438 protein-coding genes. 77 × 438 = 33,726. | Treats each gene as an independent event. Many sequences may work, and chemistry may have routes not yet found. |
| Origin of life, Hoyle's route | 1 in 1040,000 | Fred Hoyle reached a similar scale by his own method. For comparison, the observable universe holds about 1080 atoms. | A separate estimate that lands in the same range. |
| The genetic code | 1 in 106 | Freeland and Hurst (1998): about one random code in a million protects against mutation damage as well as the standard code. | Measures error protection only. |
| Initial order of the universe | 1 in 1010123 | Roger Penrose estimated the odds of the Big Bang's low-entropy starting state, out of all possible starting states. Writing the number out would take more digits than there are atoms in the observable universe, by a factor of about 1043. | Penrose measured a volume of possibilities, and there is no agreed way to weigh them. That early order was strikingly special is widely accepted. |
Forces (194) plus origin of life (33,726) plus genetic code (6) gives an exponent of 33,926. Adding the starting order makes everything else a rounding error. Even if the whole origin-of-life step is thrown out, the headline figure does not visibly change. It is also the hardest of these numbers to define as a probability.
Each standard objection has a reply from defenders of the argument, and each reply adds more improbability or moves the question back a step.
Selection needs something that copies itself, and the first copier has to arise first. The smallest RNA enzyme that copies RNA is about 190 letters long. If only one sequence worked, that is 1 in 10114.
Many sequences may work, so this figure is a ceiling on the difficulty.
Freeland and Hurst found that only about one random code in a million guards against mutation damage as well as ours.
The measure covers error protection, not every property of the code.
That explains why we observe order. It does not explain why order was available. If a firing squad all misses, you are alive to notice, and you still ask why.
Critics hold that observer selection is a full answer.
A process that makes universes needs its own special laws and starting conditions, so defenders say this moves the improbability back one step.
Physicists dispute whether it does, and whether a multiverse is testable.
Defenders reply that a creator is proposed as a necessary being, not a chance outcome, so the odds do not apply to it.
Critics dispute that, and it is a philosophical question that arithmetic cannot settle.
The arithmetic shows how large the number is. What it points to is a judgment no calculation can make. The twenty-four axioms below are a different kind of claim: each one is supported independently by physics, chemistry and biology.
The three papers were checked against their DOI records. The estimates from Hoyle, Penrose and the RNA-copier length are quoted as the video gives them and come from memory.
The life axioms