Virtue Is at Stake at Every Moment — A Proof v1.0

 

Virtue Is at Stake at Every Moment — A Proof v1.0

Theoretical foundations: Grant C. Sterling (Eastern Illinois University). Analysis and synthesis: Dave Kelly. Prose rendering: Claude (Anthropic). 2026.

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Definitions (from the corpus)

• D1 (Th27): Virtue = rational acts of will; vice = irrational acts of will.
• D2 (Th24): Every act of will has content — a result aimed at.
• D3: “Virtue is at stake at moment t” means: at t, the agent performs some act of will that is either rational or irrational — at t the agent is doing something that constitutes virtue or vice.

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Premises

• P1 (Th27): Every act of will is either rational or irrational. Bivalence over acts of will — no third status. Grounded in Th10’s value-bivalence: no middle ground.
• P2: At every waking moment, the rational agent performs at least one act of will. Assent is continuous: impressions arrive without interruption, and the agent’s stance toward each — assent given, withheld, or suspended — is itself an act of will. Even suspension is a doing: a chosen withholding, per Th6, since nothing stands between the agent and his assent.
• P3 (line 29): The moral status of an act of will is determined wholly at the moment of the act, regardless of outcomes.

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Derivation

• 1. At every waking moment t, the agent performs some act of will W(t). — P2
• 2. W(t) is either rational or irrational. — P1
• 3. If W(t) is rational, the agent enacts virtue at t; if irrational, vice at t. — D1
• 4. Therefore at every waking moment t, the agent enacts either virtue or vice. — 1, 2, 3
• 5. The status of W(t) is settled at t itself, not by prior moments or later outcomes. — P3
• 6. Therefore at every waking moment, virtue is at stake — fully, and at that moment alone. — 4, 5, D3

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Corollaries

• C-a — No neutral moment. From step 4: there is no waking moment in which the agent is doing neither. Neutrality would require a third status for acts of will, which P1 excludes.
• C-b — No scaling. The proof nowhere mentions the magnitude of the occasion. Stakes are constant across the trivial and the catastrophic because rationality (D1) is not outcome-sized. From D1, P3.
• C-c — No carryover. From P3: each moment’s verdict is complete in itself. Prior vice does not encumber the present act; prior virtue does not credit it.
• C-d — The guarantee, per act. A rational W(t) forms no desire for an external — else it would embed a false value judgment, contradicting line 12 and its ground Th10. By Th3, no frustrated desire, no unhappiness — at t. From Th10, line 12, Th3.

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Load-Bearing Points, Honestly Marked

P1 rests on Th27 and Th10 — both ratified basic-load-bearing. P3 is line 29 — derived, but from ratified bases (28 + 17 + Th25). P2 is the one premise that is not itself a numbered line. “Assent is continuous during waking life” is an empirical-psychological claim of the same standing as Th16 and Th18 — the kind Sterling’s gloss calls “empirical propositions the Stoics thought were obvious.” It is the proof’s only exposure. Deny P2 — hold that there are waking moments with no act of will at all, mere blank reception — and those moments fall outside the theorem’s scope. The conclusion would weaken from “every waking moment” to “every moment in which the will acts” — which is still everything the practice needs, since a moment with no act of will is a moment where nothing could be at stake for anyone on any theory.

What the proof deliberately does not claim: it does not say every stray thought is assent — the open assent-threshold question is untouched, since the proof needs only that some act of will occurs each moment, not that every mental event is one. And it makes no use of Th20, Th21, or Th22 — the Providence branch is absent, so the conclusion holds for the Stoic who denies Providence entirely.

Virtue at Stake in Every Moment — The Theme Developed v1.0

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Theoretical foundations: Grant C. Sterling (Eastern Illinois University). Analysis and synthesis: Dave Kelly. Prose rendering: Claude (Anthropic). 2026.