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03 / 18 · Read the argument

The missing bridge

Expose missing assumptions without quietly treating them as facts.

Builds on True is not the same as valid

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A question to keep in mind

'It is faster, so we should use it.' What has been left out?

Real arguments often omit a bridge from the stated evidence to the conclusion. 'This tool is faster, therefore adopt it' also depends on priorities, accuracy, cost, and compatibility with existing work. A premise about what is the case does not by itself determine what should be done.

Make a proposed bridge explicit and label it as an assumption. Adding it may repair the deductive form, but does not establish its truth. Prefer a limited bridge you can test over a sweeping rule that makes the conclusion automatic.

Look for a plausible situation where the stated evidence holds but the decision changes. This reveals missing conditions. Do not pretend your reconstruction is the speaker's exact intention; it is a candidate to confirm.

Work through an example

  1. Claim: 'Package A takes half the time, so migrate.' Counter-situation: it does not support a file format needed for the task.
  2. Candidate bridge: choose the faster option among those meeting the same correctness, compatibility, and budget requirements.
  3. The migration now also requires evidence that A meets those requirements. The word 'faster' did not supply it.

Your turn

0 / 3
Practice 1Not checked

'This plan has the highest expected revenue, so choose it.' Which assumption most directly bridges the gap?

Your answer
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Revenue is the only decision criterion once constraints are met.

A bridge can be logically helpful and substantively debatable at the same time.

Practice 2Not checked

'Students using this app score higher, so the app raises scores.' What should be investigated first?

Your answer
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Whether users already differed in motivation or prior ability.

We return to causal evidence in lesson 16. Here the task is to expose the extra assumption, not calculate an effect.

Practice 3Not checked

You add a missing premise and the form becomes valid. Is the argument now sound?

Your answer
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Only if all premises, including the new one, are true.

This is the validity/soundness distinction from lesson 2, now applied to a repair.

Bring it back to your own work

Revisit your recommendation from lesson 1. Add one missing bridge, then write what evidence or agreement would justify it.

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Sources, scope, and corrections

Original Fineuralab teaching examples; fictional scenarios are not reported research results. Edition 20260903-v1. Page updated 2026-09-03.

  • forall x: Calgary

    Open textbook for further study of formal logic. Used to cross-check scope and terminology; these lessons and exercises are newly authored, not a translation of its chapters.

  • Organizing Instruction and Study to Improve Student Learning

    IES practice guide informing worked examples, retrieval, and concrete/abstract connections. It has not evaluated this course.

  • Carnap

    A separate open-source platform for more extensive formal-logic exercises and proof work.

Found an ambiguous example or a reasoning error? Include the lesson and exercise number when reporting it. [email protected]

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