Defend a claim and revise its limits
Build an evidence-based conclusion that can change.
Learning outcome: Distinguish a result, its interpretation and a test that could reverse the interpretation.
Starting recap
A supported claim states its scope and alternatives rather than treating one result as universal.
All lessons are open directly. Your saved experiments remain when you leave and return.
Try
An input separates two model predictions under a small measurement bound.
Open the experimentPredict
What would make your previous conclusion inconclusive?
Experiment
Capture a separating case and an overlapping case by changing the error bound.
Choose a discriminating input
Worked teaching model · synthetic values · Model A predicts 4 cm; model B predicts 2 cm/s × input time. Each prediction has a bounded measurement interval, not a probabilistic confidence interval.
Reset keeps your prediction, captures and practice history.
| Row | Quantity | Value (cm) |
|---|---|---|
| 1 | Model A prediction | 4 |
| 2 | Model B prediction | 4 |
| 3 | Prediction separation | 0 |
| 4 | Combined interval half-widths | 1 |
The bounded prediction intervals overlap.
A test separates these bounded predictions only when |4 − 2t| > 2 × error bound. A larger gap helps only within the stated model domains. Neither model is established as true by choosing this input.
Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.
Understand
Apply
Public practice checks a specific claim. It does not establish independent mastery.
Write a claim, cite both captures, name an alternative, and specify a new observation that could change your view.
Continue
Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.
Skipping retains experiments and awards no mastery.
Save a science backup or import one
Science work is stored locally in this browser, separately from mathematics and AI. It does not sync automatically. Use this science-only backup; this checkout's older all-subject export does not include science.
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Matching imported notebook drafts replace their current drafts. Omitted lessons and known first attempts remain. Export your current work first if you want to retain both drafts.
Complete file sets and course backups
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The set includes every saved science course and global continuation at this moment. Later edits need a new export. A conflicting tab exports its own visible work, which may differ from saved work in another tab.
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