A man awaiting execution in a Pavian cell around the year 524 wrote a conversation with a woman who did not exist. Philosophy, personified, comes to Boethius and explains that he has been complaining about the wrong thing. He had trusted Fortune. Fortune’s entire nature is to turn. To be raised by her and then dropped is not injustice but definition, and the man who accepts her gifts has consented to her terms without reading them.
The Consolation of Philosophy is the most influential thing anyone ever wrote about luck, and it establishes the question that the next fifteen centuries would refuse to settle. Is chance a real feature of the world, or merely the name we give to causes we cannot see?
Fortune’s Wheel and the Consolation of Boethius
Boethius gives us the wheel, and the wheel is a claim rather than an image. Its rim carries kings ascending, kings enthroned, kings falling, kings crushed. Nobody rides it upward without also riding it down, because it is a wheel.
What Boethius will not concede is that the wheel turns randomly. Behind Fortune stands Providence, and what looks arbitrary from the rim is ordered from the axle. The wheel is a device for teaching the reader not to stand on it.
This distinction between the appearance of chance and the reality of order proved durable beyond anything its author could have foreseen. Almost every subsequent thinker either adopts it or defines a position against it.
Aristotle and the Accidental Cause
Aristotle got there first, and with more precision.
In the Physics he distinguishes two kinds of chance. Tuche applies to outcomes involving agents who could have deliberated: the man who goes to market for bread and there encounters the debtor he had been unable to find. Automaton covers the rest, the stone that falls and happens to injure nobody.
His argument is that neither is uncaused. Both are perfectly explicable in terms of ordinary causes. What makes them chance is that the conjunction of those causes serves no end. Chance, for Aristotle, is not a gap in the causal order. It is a coincidence within it, and the word simply marks our surprise.
Nobody improved on this for a very long time.
The Letters of 1654
Everything changes with a correspondence between two Frenchmen about a question posed by a gambler.
The Chevalier de Mere wanted to know how to divide the stakes when a game is interrupted before it finishes. If I need one more point and you need two, and we must stop, what is fair? Blaise Pascal and Pierre de Fermat exchanged letters that summer working it out, and in doing so invented the mathematical theory of probability. It did not emerge from astronomy, or from theology, or from insurance. It emerged from the problem of points.
The consequence is that the discipline which now describes weather systems, drug trials, quantum states and the reliability of bridges was built to answer a question about dividing a pot fairly.
There is a straight line from those letters to the arithmetic running quietly inside any modern operator. The casino online on mrQ, licensed in Britain since 2018 and restricted to adults, computes its margins using tools Pascal devised while trying to answer a question about fairness. Whether that is an irony or merely a genealogy is left to the reader. What cannot be disputed is that our capacity to reason about uncertainty at all is a byproduct of somebody wanting to know how to split the stakes.
Providence and the Problem of Secondary Causes
The theological tradition had, by then, a well-developed account.
Aquinas holds that nothing escapes divine providence, and that this does not abolish contingency. God’s causality operates through secondary causes, and God wills that some of those causes act necessarily while others act contingently. Chance is therefore entirely real at the level of created things and entirely absent at the level of the first cause. The dice are genuinely random with respect to the table and not at all random with respect to the one who made the table.
Augustine had made the sharper claim: fortune is a word for causes hidden from us, and nothing more. Calvin pressed further still, insisting that what appears fortuitous is governed to the smallest particular, a doctrine his critics found intolerable and he found consoling.
The scriptural material sits awkwardly across all of this. Lots are cast in Israel to allocate land and identify offenders, and cast by the apostles to choose a twelfth. The practice presupposes that a random procedure is a suitable instrument for a determinate answer, which is either the deepest expression of the doctrine or its complete collapse, depending on who is reading.
Pascal and the Arithmetic of Belief
Pascal returned to the subject with a different intention.
The famous passage in the Pensees applies the new mathematics to belief itself. Reason, he argues, cannot settle the question. But you are already playing, you cannot decline to bet, and the payoffs are radically asymmetric. Under those conditions the calculation is straightforward.
Almost every serious objection to the argument has been raised. It seems to license belief for prudential rather than truth-tracking reasons. It assumes a single deity rather than the many that could be posited. It treats faith as something one can decide to have. Pascal anticipated more of this than he is credited with, and his answer, that one should act as though one believed and let belief follow the practice, is a claim about human psychology rather than a dodge.
What Remains Unsettled
Quantum mechanics reopened everything. If indeterminacy is a feature of the world’s basement rather than of our knowledge, then Aristotle’s coincidence and Augustine’s hidden causes both look inadequate, and the question Boethius thought he had answered is live again in a form none of them anticipated.
The philosophical literature here is enormous and unusually good. The Stanford Encyclopedia of Philosophy surveys chance, determinism and divine foreknowledge with more care than any short essay can, and anyone who finds these questions gripping should begin there rather than here.
What survives from the whole long argument is a single observation. Every tradition examined above agreed that chance is a name we give to our position, not to the world’s. They disagreed profoundly about whether there is anyone standing where the view is different. Fifteen hundred years later, that is still where the disagreement sits.
