Ask a question that can be tested
Separate a question, a model and a prediction.
Learning outcome: Choose a measurement that could contradict an explanation.
Starting recap
A model predicts an output for a specified input. Two models can agree in one case.
All lessons are open directly. Your saved experiments remain when you leave and return.
Try
A ruler stays at 4 cm in model A. In model B it grows by 2 cm each second.
Open the experimentPredict
At which time will the two explanations be hardest to distinguish?
Experiment
Compare times 1, 2 and 3 seconds with the same error bound. Capture an agreeing and a disagreeing case.
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.
Explain why agreement at one input does not select a model.
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
A file set can hold more work than one science file. Keep its manifest and every part together. Each file is limited to 36 MB. This format needs this version of LearnAI or a compatible newer version; older versions can use only the legacy single-file backup above.
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.
0 file(s) selected. File order and filenames do not determine identity. Missing, changed or conflicting parts block the entire restore; no good part is applied by itself.
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