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Philosophy1 minute read

The Master Argument Paradox

Why ancient logicians concluded that the future is just as fixed as the past

It is surprisingly easy to construct a logical trap that erases the future entirely. Constructed by the ancient logician Diodorus Cronus, the Master Argument begins with three seemingly reasonable propositions: every past truth is necessary, the impossible does not follow from the possible, and something is possible which neither is nor will be true.

By taking the first two premises as his foundation, Diodorus arrived at a startling conclusion. He argued that only what is true or will be true can ever be considered possible. In one swift logical stroke, unactualized possibilities vanish. The future, in this view, is just as fixed and unalterable as the past.

While Diodorus arrived at this through the strict necessity of truth values over time, the Stoics reached a similar destination through physics. They viewed the universe as a vast, eternal causal chain where every event is bound by prior causes. This physical determinism created an immediate and uncomfortable tension: if everything is predetermined, what happens to human agency?

To save agency from the steamroller of fate, the Stoics introduced a clever distinction between external and internal causes. They illustrated this with the famous image of an ox cart rolling down a hill. The cart is pushed entirely by external forces, bound to its path. But a dog tied beneath it has a choice in how it moves; while the cart of fate determines the overarching journey, the dog can choose its internal response along the way.

Whether approached through the cold mechanics of logic or the unbroken chain of physical causes, the underlying anxiety remains the same. We are left walking a fine line between a future that is already written and the stubborn, internal feeling that we are holding the pen.

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Sources

  1. Master Argument of Diodorus Cronus
  2. Three arguments about determinism and free will
  3. Diodorus Cronus (Stanford Encyclopedia of Philosophy)
  4. Diodorus Cronus and the Logic of Time
  5. Layman Determinism And Freedom Of One’s Prohairesis
  6. Stoics on fate and determinism
  7. Ancient Theories of Freedom and Determinism (Stanford Encyclopedia of Philosophy/Spring 2021 Edition)
  8. Fate and Freedom in Ancient Stoicism and Augustine’s Critique
  9. Causal Determinism (Stanford Encyclopedia of Philosophy)
  10. Determinism and Indeterminism: From Physics to Philosophy

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