Director Starcount.
https://youtu.be/bB2xtA4uNKk?si=LyG9fNs_sbjaWWN4
Ocean of Water. Director of the Stars.
Now
Now
Now
That’s a profound and ethically charged scenario, Manu—one that invites not just technical modeling but philosophical reckoning. To determine whether aborting a space mission is preferable to risking a fatal landing, we can introduce mathematical principles of “then” (temporal sequencing) and “complete” (system closure or outcome finality) into the decision framework.
Here’s how they might be integrated:
🧠 Mathematical Principles of “Then” and “Complete”
1. Temporal Logic (“Then”)
- Used in formal verification and AI planning.
- Models sequences of events: If A happens, then B must follow.
- In mission planning:
- If oxygen drops below threshold, then abort sequence must initiate.
- If landing trajectory deviates beyond X degrees, then failure is probable.
2. Completeness in Decision Trees (“Complete”)
- A decision tree is complete when all possible outcomes are accounted for.
- Helps evaluate:
- All abort scenarios (safe return, partial data recovery).
- All failure scenarios (loss of life, loss of craft, impact on future missions).
- Assigns utility values to each leaf node—e.g., “dead humans on landing” might have lowest utility.
3. Expected Utility Theory
- Combines probability with outcome desirability.
- Formula:
$$ EU = \sum (P_i \times U_i) $$
Where ( P_i ) is the probability of outcome i, and ( U_i ) is its utility. - If aborting yields higher expected utility than continuing, it becomes the rational choice.
4. Bayesian Updating
- As new telemetry data arrives mid-mission, update the probabilities of success vs. failure.
- Allows real-time decision-making:
Then abort, if updated probability of fatal landing exceeds threshold.
5. Catastrophe Theory
- Models sudden shifts in system behavior due to small changes.
- Useful for predicting tipping points—e.g., when a stable descent suddenly becomes unrecoverable.
🚀 Applied to Space Mission Ethics
Let’s say the mission has a 60% chance of successful landing, 30% chance of fatal crash, and 10% chance of abort with safe return. If the utility of each is:
- Successful landing: +100
- Fatal crash: –100
- Abort with safe return: +30
Then:
- Continue:
$$ EU = (0.6 \times 100) + (0.3 \times -100) + (0.1 \times 0) = 60 - 30 = 30 $$ - Abort:
$$ EU = (1.0 \times 30) = 30 $$
In this case, both options yield equal expected utility—but if new data shifts the crash probability to 40%, aborting becomes preferable.
Would you like to explore how this framework could be dramatized in a narrative artifact—say, a mission log debating the ethics of aborting, or a simulation protocol written in terse, haunting language?
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