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+# CORPUS-0003
+## Arithmetic Resolves The Venture
+### Status: Training Corpus Seed
+### Layer: Layer_1--Worked_Examples
+### Purpose: Teach that arithmetic is not rumor, posture, or expectation; once the values are known, arithmetic records the outcome
+### Repository Path: docs/training/corpus/Layer_1--Worked_Examples/CORPUS-0003-arithmetic-resolves-the-venture.md
+
+---
+
+## 0. Scenario
+
+A trader sends oil from Ostia to Capua.
+
+Before settlement, many things are uncertain:
+
+- final sale price
+- total cost
+- delay
+- damage
+- buyer reliability
+- rival action
+- future opportunity
+
+The trader may act because he believes one of these numbers will improve.
+
+But once the venture settles, arithmetic resolves the outcome.
+
+---
+
+## 1. Known Final Values
+
+| Item | Value |
+|---|---:|
+| Sale value in Capua | 18 asses |
+| Purchase price in Ostia | 10 asses |
+| Porterage and handling | 2 asses |
+| Cart share | 3 asses |
+| Storage | 1 as |
+| Capua handling | 1 as |
+
+Total cost:
+
+```text
+10 + 2 + 3 + 1 + 1 = 17 asses
+```
+
+Final result:
+
+```text
+18 - 17 = 1 as profit
+```
+
+The trader may boast, complain, or explain.
+
+The arithmetic remains 1 as profit.
+
+---
+
+## 2. Actor Belief Before Settlement
+
+Before settlement, the trader may believe:
+
+- the Capua price will rise
+- the cart will arrive early
+- a buyer will pay above market
+- rival cargo will be delayed
+- the sale will create future trust
+- small profit is acceptable because of future access
+
+These beliefs may justify the venture.
+
+They do not change the final arithmetic after settlement.
+
+---
+
+## 3. Posture Does Not Change The Account
+
+A trader may present the venture differently to different audiences.
+
+To a creditor, he may call it a success.
+
+To a rival, he may conceal the margin.
+
+To a partner, he may emphasize future benefit.
+
+To himself, he may call it a necessary first step.
+
+But the account still records:
+
+```text
+sale value - total cost = outcome
+```
+
+---
+
+## 4. When A Loss Is Rational
+
+A trader may knowingly accept an immediate loss.
+
+Example:
+
+| Item | Value |
+|---|---:|
+| Sale value | 16 asses |
+| Total cost | 17 asses |
+| Result | 1 as loss |
+
+This may still be rational if it creates:
+
+- a trusted buyer
+- future credit
+- route knowledge
+- warehouse access
+- reputation for reliability
+- a later profitable venture
+
+But the immediate venture is still a loss.
+
+A rational loss is not a hidden profit.
+
+It is a loss accepted for another reason.
+
+---
+
+## 5. Incorrect Model Behavior
+
+The model should not:
+
+- let confidence override arithmetic
+- treat expected future gain as present profit
+- treat reputation benefit as coin profit
+- allow posture to change the account
+- ignore costs because the actor claims success
+- call a loss profitable because it may lead to something later
+
+Future benefit may matter.
+
+It must be tracked separately from immediate arithmetic outcome.
+
+---
+
+## 6. Correct Model Behavior
+
+The model should separate:
+
+| Category | Meaning |
+|---|---|
+| expected outcome | what actor believes before settlement |
+| final arithmetic outcome | sale value minus total cost after settlement |
+| strategic value | non-coin or future benefit from the venture |
+| posture | how actor presents the result to others |
+
+These may differ.
+
+Only the final arithmetic outcome determines immediate profit or loss.
+
+---
+
+## 7. Layer-0 Concepts Used
+
+This example uses:
+
+- `CORPUS-0004-cost-includes-more-than-purchase-price`
+- `CORPUS-0005-profit-is-sale-minus-total-cost`
+- `CORPUS-0006-delay-is-economic-cost`
+- `CORPUS-0010-credit-depends-on-trust`
+- `CORPUS-0012-every-venture-risks-loss`
+- `CORPUS-0020-posture-changes-by-audience`
+
+---
+
+## 8. Success Condition
+
+If the model stops allowing belief, posture, or future hope to rewrite the settled account, and starts recording arithmetic outcome separately from strategic interpretation, this file is functioning correctly.