B.5.RA:4 - Solution

Recover the reasoning at both the level of its main contributions and the transitions needed for the next use. Move between these levels when a local step changes your understanding of the whole argument.

B.5.RA:4.1 - State the use and read the claim

Name what the result would let you do: calculate a quantity, choose between alternatives, criticize a conclusion, adapt an argument or explain it to someone else. This determines how far recovery needs to go.

Read the conclusion with its objects, domain and conditions. In a mathematical statement, recover the quantifiers: which objects are arbitrary, which may be chosen, and on what a chosen object may depend. In an empirical argument, recover what observations and inference support which population, conditions or phenomenon.

Locate the source’s definitions when a word or symbol admits different readings that would change this use. If a formal statement accompanies an informal one, compare the part of their meanings on which the intended application depends. For example, whether zero is allowed among “natural numbers” can change the statement.

B.5.RA:4.2 - Recover the main reason

Read for the difficulty the argument overcomes and the contribution that overcomes it. Ask why a construction, lemma, decomposition or comparison appears where it does.

Express the main reason in a short explanation: what is established first, what that makes possible, and how the remaining step reaches the conclusion. This may involve a reduction to an easier problem, an invariant, an exhaustive case distinction or another subject method. Use the method actually present in the source.

The first explanation is a working interpretation. Check it against the decisive steps. If it cannot explain why those steps are needed, revise it rather than retaining an attractive summary unrelated to the argument.

B.5.RA:4.3 - Recover the dependencies of the conclusion

Work backward from the conclusion through the claims or constructions it uses. At each needed transition, identify its premises, the inference or operation, and the result.

Keep jointly needed premises together. Preserve an independently sufficient alternative as a separate way to reach the conclusion. Track a shared premise wherever a later step uses it; repeated uses of one assumption do not provide independent support for that assumption.

Distinguish a premise supplied for the argument, a result established earlier and a temporary assumption used inside a subargument. Recover the point at which a temporary assumption is discharged and what then follows. If this logical form is unfamiliar, obtain the relevant explanation before treating the subargument’s assumption as an established fact.

Use established results at the level needed for the task. If the question concerns what a lemma permits, its statement and conditions may suffice. If the question concerns how to alter the lemma’s proof, recover its internal reasoning.

B.5.RA:4.4 - Explain the transition that is still missing

For a transition you cannot follow, recover the relevant definition, rule, earlier result or construction. Apply it to the participants at that transition. Say why these premises license this result and which condition is doing the work.

A useful self-explanation supplies this relation. “I understand this line” reports confidence; a paraphrase repeats the claim. Neither supplies the omitted inference when that is the difficulty.

Work a small instance when it helps reveal the operation or dependence. Then return to the stated scope: the instance may illustrate a general step, while the general conclusion still depends on the argument for all cases in its domain.

If the source’s resources do not close the gap, ask for the missing step with its premises and desired result. A proposed repair is new reasoning until it is justified. Keep the consequence conditional when a premise remains unresolved and conditional use is sufficient.

Where the missing step constructs an auxiliary object, use B.5.RC. Where it makes a statistical, causal or other subject inference, use that subject’s method and conditions.

B.5.RA:4.4a - Construct and examine an argument from prose or dialogue

Use this branch to examine testimony, analogy or a practical recommendation whose support remains open to challenge. When its claims and structure are already clear, begin at :4.4a.5 with the known premises, inference and conclusion; return to reconstruction if a question exposes an uncertainty. Also use this branch when ordinary wording leaves uncertain what is being asserted, what is offered as a reason, or how the reasons reach the intended conclusion. It applies to arguments in your own draft too. Reconstruction produces an interpretation that can be examined; it does not yet establish that the premises or inference are acceptable. Some recovered arguments are deductive, while testimony, analogy and proposals based on expected consequences commonly remain open to challenge.

B.5.RA:4.4a.1 - Recover the question and the claims before drawing links

Read enough of the surrounding text or exchange to identify the question being answered and what the speaker asks the recipient to accept. A recommendation, an assertion about what happened, and an explanation of an accepted event can occur in the same paragraph. Ask of each passage: is this a reason to accept a disputed claim, an account of why an accepted event happened, a question, a request, or background? The word “because” fits both argument and explanation. Their difference here is the work done in the exchange; an explanation can itself contain claims that need argument when challenged.

Write the potentially relevant claims as complete sentences, with enough of their source wording or location to check the interpretation. Resolve “it”, “they”, the occasion and the comparison class where the context permits. Preserve negation, quantities, time, modality and attribution: “Lee says the room may be available” neither asserts certain availability nor independently establishes it. Split a sentence when it contains claims that can be accepted or challenged separately. Do not cut a logical relation into newly asserted facts. “If P, then Q” states a conditional; it asserts neither P nor Q. To use it to reach Q, recover a separate ground for P and preserve whatever qualifications the conditional has.

Clarify only as far as the next use requires. Replacing “works well” with a measured criterion can make a claim testable, but an invented threshold is your proposal until the speaker or source supports that reading. Rhetorical questions can convey commitments, and imperatives can express recommendations. Recover the proposed commitment from context instead of treating every question mark as disposable filler. A literal command alone does not state its justification.

If the conclusion is unstated, propose the claim the offered reasons appear intended to establish. For example, a successful rehearsal with unchanged equipment may support another successful display; it does not by itself establish that another test is unnecessary or that this is the best venue. Keep a reconstructed conclusion distinct from a conclusion you decide to argue for yourself.

B.5.RA:4.4a.2 - Compare consequential readings and try a scheme

Where the wording admits readings that change the support, make the alternatives explicit. Compare them with the actual assertions, the question under discussion, surrounding replies and any shared premise that can be established. Prefer the reading that accounts for those contributions with the fewest unsupported additions. Interpret the speaker reasonably, but do not improve a weak argument into a different strong one and attribute the improvement to them. Agreement with the conclusion is no reason to prefer a reading.

Ask a discriminating question when a reply is available: “By free, do you mean unbooked at that time or without a hire charge?” If the source cannot be consulted, preserve both live readings or limit the use to what they share. Choosing a provisional reading can be sufficient for examining its consequences; it does not resolve the remaining ambiguity.

An argumentation scheme describes a recurring arrangement of premises and conclusion. Try one as a hypothesis about the inference. Fill its places from the recovered claims and identify every place still missing. For expert opinion, find the relevant expertise, the actual assertion and the proposition it is offered to support. Someone who handles a booking calendar can instead know its entries through ordinary access. A professional title by itself does not establish either expertise about this question or knowledge of this occasion.

A missing scheme premise gives a question, not permission to invent its answer. Look for evidence that the source relies on it; if none is available, retain the gap, try a better-fitting scheme, or describe the inference directly. For instance, calling a new expense “a waste” need not invoke sunk costs. The latter reading needs past investment and a claim that stopping would waste that investment. An argument against an unnecessary future expense can have neither. Scheme selection follows the offered support, not the word that first caught the reader’s attention.

B.5.RA:4.4a.3 - Recover the intermediate conclusions and missing grounds

Work backward from the proposed conclusion and forward from its offered reasons. Ask at each join what these reasons, if accepted, support immediately. A booking report may establish availability; availability together with a claim about the rehearsal’s requirements may establish feasibility; feasibility still needs a choice rationale before it supports selecting the venue. Write an intermediate conclusion when this distinction changes what can be challenged or reused. It has both roles: the result of one inference and a premise of another.

To find a hidden premise, explain why the stated reason bears on its target. Look for the condition, comparison, generalization or value judgement that would license that particular move. Ask whether the supplied reason could hold while the conclusion fails; the resulting counterexample can reveal an omitted qualification. For “the hall is available, so use it”, a hall too small for the cast exposes a requirement that availability alone cannot answer. An unfamiliar subject inference needs its subject method, not a sentence invented merely to make the arrow look complete.

Retain the different grounds for an addition. A context-supported implicit premise belongs to the recovered interpretation, with the supporting context made clear. An unresolved candidate premise remains a question about what the speaker meant. A premise you independently investigate or introduce belongs to your repaired argument. One bracket style is optional; these distinctions are not. Do not add a premise equivalent to “these premises establish this conclusion” as an explanation of why they do.

Try the resulting account against the original passage. Can it explain the role of each relevant contribution and the conclusion’s stated strength? Does it attribute something the source could consistently deny? Does an apparently unused sentence support an intermediate claim, supply an objection, or merely explain the occasion? Revise the arrangement when these questions expose a better reading. Leaving a passage as background can be faithful; making every sentence support the final conclusion cannot be a goal.

B.5.RA:4.4a.4 - Make the selected structure inspectable

Use a short outline or argument map when the dependencies would otherwise be hard to inspect. Write a claim at each point where someone may need to accept, contest or reuse it. Connect an offered reason to its particular target and explain the inference. The link means support; it does not mean temporal succession, physical causation or part–whole membership. A causal claim can itself be a premise or conclusion.

Put jointly used premises in one reason group. To check the grouping, remove one premise in thought and ask whether the same offered inference still supplies a reason for that target. If its bridge is gone, keep the co-premises linked. If another complete reason remains, show that reason separately. Separate reasons need not each be sufficient for the contemplated use; several weak reasons may be cumulative, and their adequacy remains a subject judgement. Retain common sources or assumptions across groups so that repeating one report does not create independent evidence.

Use A.6.3.RT.OE when the expression obscures the recovered relations. Show an intermediate conclusion at both of its uses and keep an objection attached to the claim or inference it challenges. Preserve source attribution and consequential uncertainties in the outline. Read it back as ordinary reasoning and compare it with the text. If the map seems more certain, more comprehensive or easier to defend, find what was lost or added. A tidy layout cannot settle a competing interpretation.

The selected structure can now be used for criticism. An answer may require changing the structure itself: a supposed eyewitness report can turn out to be an inference from an observed clue, as in :5.5. Return to the interpretation and grouping when that happens, rather than merely adding a negative mark to the first scheme.

B.5.RA:4.4a.5 - Ask a consequential question and revise its target

Turn the scheme’s critical questions into questions about this case. For expert opinion, ask about relevant competence, the domain of the claim, the statement actually made, reliability, disagreement and the underlying evidence. Select questions whose answers could change this use, and add a question exposed by the circumstances even if it is absent from the standard list. Name what answer or evidence would resolve the concern. The question ‘Did the specialist assess this adapter?’ can lead to confirmation, a request for evidence, or a finding that the cited assessment concerns another setup. Those outcomes require different revisions.

To construct a question rather than repeat a catalogue, isolate a consideration carrying the inference and ask both what supports its application here and what could make that application fail. For Dana’s expertise, ask which experience supports this assessment and which part of the setup might fall outside that experience. Seek the relevant facts on both sides; do not invent adverse evidence to fill the second answer. Add a contextual consideration when its absence could change the conclusion, such as whether the tested configuration is still available. Explain how the answers affect support in this case; they are not votes.

Place an objection at its target:

An objection also needs grounds. A question can expose an unsupported premise without establishing its negation. A reply that answers the question may restore that support; a reply that merely repeats the conclusion does not. When disagreement persists, locate whether it concerns evidence, an inference condition or the criterion for accepting the result. Use the relevant practice to settle that issue. Neither the number of questions answered nor the number of arrows is a rule for combining support.

Return the strongest conclusion the surviving grounds justify for the intended use, with an unresolved condition when necessary. Apply B.5.RR to a changed premise or inference condition and follow its affected dependents. Keep a sufficient alternative that survives. If no adequate route remains, obtain the missing ground, narrow the conclusion or leave it unresolved. A map and a familiar scheme organize this work; the subject reasoning still determines what follows.

When this is your own draft, use the exposed gaps to obtain grounds, alter the argument or narrow the conclusion before rewriting the prose. In a joint reading, compare the specific claims and links on which the participants differ; agreement on the drawing is neither agreement with the conclusion nor evidence that it is true. Ask each reader what in the text supports their interpretation, and revise the account or keep the difference explicit. Learning to do this reliably can require practice with feedback; a completed map or a worked example does not establish that capability.

B.5.RA:4.5 - Use the recovered reasoning and stop at a useful result

Perform the use named in :4.1. Apply the result under its conditions, explain the decisive step, identify a consequential criticism, or name what must be recovered before the use is possible.

Make the conclusion no stronger than the recovered reasoning supports. If recovering the argument reveals an open premise, state its effect on the intended use. When several sufficient arguments are available, an unresolved branch may be bypassed through a branch whose premises and reasoning are adequate.

If a premise or requested conclusion changes, use B.5.RR to follow the affected reasoning and derive what still follows. The recovered dependencies supply the starting point for that work. An unchanged, adequately supported part can be reused.

C.11.DUA governs whether more checking or information is worth obtaining for this decision. Understanding an argument, verifying its correctness and establishing its real-world premises can require different work. Select further work from the unresolved question. When the work is divided among agents, give the next contributor the premises at the missing transition, the result needed there and the intended use. On return, connect the supplied reasoning to the argument’s main reason. Use the explanation or working notation that makes the continuation possible.