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What would follow from something is the only way to judge a proposal, and no way at all to judge whether something is true.
Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.
You will read the conclusion of an argument on its own, decide whether it proposes an action or states how things are, and use that to say whether reasoning from what would follow belongs in it. You will mark the step that decides a fact by how unwelcome it would be, and leave alone the proposal that is supported by exactly what a proposal should be supported by.
The surveyor's figures say the bank below the churchyard has lost two meters in four years.
Ivo said that if the bank really is going, graves will have to be moved and nobody in the village wants that.
He concluded that the bank cannot be going as fast as the surveyor says.
The path along the bank would have to be moved eight meters inland to be clear of it for twenty years.
Moving it takes the path away from the water, which is why most people walk it.
Leaving it where it is means closing it at some point without warning.
You have now seen five moves whose verdict depends on the setting rather than on the words. This is the sixth and the clearest of them: the very same premise is the best reason there is in one argument and no reason at all in the next, and what changes is the conclusion.
| Term | What it means |
|---|---|
| Factual claim | A claim about how the world is, was, or will be. |
| Practical recommendation | A claim about what an agent should do, given relevant aims and reasons. |
| Wishful reasoning | Treating a desired conclusion as true because its truth would be welcome. |
| Testable prediction | An expected observation linked to a claim under stated conditions. |
The committee must ask both what is happening to the riverbank and what action is appropriate. An unpleasant consequence of erosion does not establish that erosion is absent. Evidence about the bank answers the factual question. Forecast effects, responsibilities, costs, and the people affected inform the practical decision. Read each conclusion before judging what kind of support the speaker has supplied.
A leak can be costly without being imaginary. 'If the roof leaks, we must close the hall; closure would be upsetting; therefore the roof does not leak' offers a preference where evidence about the roof is needed. The desirability of a conclusion does not establish its truth.
Consequences can nevertheless matter to decisions. A proposal to repair the roof can be supported by the expected benefit of preventing damage, while costs, responsibilities, permissions, and fairness also need consideration. A beneficial outcome is a relevant reason for action, not automatically a decisive reason.
Consequences can also matter to factual inquiry when they are observable predictions rather than merely welcome or unwelcome outcomes. If a claim predicts an event under specified conditions, checking for that event can test the claim. The important distinction is between evidence about what happens and a wish about what we would like to happen.
Another way: picture
Draw separate arrows: a preference points toward an action someone favors; a measurement points toward a claim about the world. An observed predicted result can supply evidence. Wanting the result cannot substitute for observing it.
Another way: steps
Identify the conclusion. If it is factual, ask for observations or a justified inferential connection. If it recommends action, identify goals, expected effects, constraints, and other relevant reasons. In either case, avoid treating a desirable result as proof that the supporting assumptions are true.
A factual belief says what is, was, or will be the case. An aim says what an agent wants to achieve. A proposed action says what should be done. These can interact without becoming interchangeable. If rain is forecast and we want the exhibition to stay dry, we may choose an indoor room. Wanting a dry exhibition does not make rain less likely. The forecast informs the choice; the preference supplies an aim; moving indoors is the action selected under those assumptions.
Write the three parts explicitly in a practical argument. 'Rain is forecast during the exhibition' is a factual premise. 'The displays should be protected from rain' expresses a relevant aim or requirement. 'Moving them to the available indoor room will protect them' is another factual premise about an action's effect. Together they offer a reason to move the exhibition indoors. The conclusion remains open to further considerations, such as whether the room is accessible, large enough, and available at the required time.
Now compare wishful reasoning. 'Rain would ruin the exhibition, therefore the forecast must be wrong' does not supply evidence about the forecast's method, data, or accuracy. It supplies a reason to care about the result. Caring can justify checking an important forecast or preparing alternatives. It cannot justify announcing a favorable forecast before the check has occurred. A person who changes plans in response to unwelcome evidence is reasoning differently from a person who denies the evidence to preserve the plan.
The same distinction applies to welcome conclusions. 'If this machine is efficient, we will save money, so it must be efficient' is unsupported without measurements or other relevant evidence. The possible saving may make an efficiency test worthwhile. If a suitable test finds high energy use, the hoped-for saving does not reverse that result. A desired benefit is part of the reason for investigating, not a substitute for the investigation's outcome.
Avoid assuming that every action should be judged only by a total of benefits. People can also consider duties, promises, rights, fairness, and legitimate decision procedures. A proposal to save time by ignoring someone else's permission may have a time benefit and still be objectionable. This lesson does not settle every ethical theory. It teaches the narrower point that consequences can be relevant to action while desirability alone does not determine factual truth.
A useful response therefore identifies the role of each claim. 'That would be costly' may be a relevant objection to a proposed repair method. It may also be a reason to obtain a second quotation. It is not, without more, evidence that the reported crack does not exist. Keeping the roles visible lets you acknowledge the practical concern without allowing it to answer a factual question it does not address.
An argument can legitimately reason from what a hypothesis would imply. Suppose a working lamp connected to a live supply should illuminate when its switch is on. We switch it on under those conditions and it remains dark. The missing predicted result is evidence against the full combination of assumptions. Perhaps the lamp is faulty, perhaps the supply is not live, or perhaps the switch connection failed. We must inspect the alternatives before selecting a particular explanation.
This reasoning does not say that darkness would be inconvenient, therefore the lamp cannot be dark. It observes darkness and compares it with a testable prediction. The prediction supplies an evidential connection. The inconvenience supplies a reason to repair or investigate. In a good analysis, these roles remain separate even when they occur in the same conversation. 'The lamp is dark, so check the supply' is a practical response to a factual observation.
There is also a difference between an unwelcome consequence and a contradiction. In a proof by contradiction, assuming a claim leads, through justified steps, to incompatible propositions. Under the relevant logical assumptions, that can refute the original assumption. 'If the figures are correct, our project loses money' is not a contradiction. A project can lose money. Disliking that result does not make the figures logically impossible. Check the arithmetic and records rather than treating financial disappointment as a proof of error.
When an inference uses a predicted effect, inspect the strength of the link. If a device sometimes works silently, the absence of noise does not conclusively prove it is off. If the premises state that it always emits a clearly detectable signal when operating under the test conditions, no signal is more informative. A probabilistic prediction calls for a probabilistic conclusion, not an automatic all-or-nothing verdict. The evidence must be interpreted using the actual conditions and reliability of the check.
Consequences used in a recommendation need similar scrutiny. 'The new route will save ten minutes' is a forecast about an effect, not a fact established merely by proposing the route. Ask how the estimate was obtained, what traffic conditions it assumes, and who experiences the saving. If some passengers gain time while others lose access, an overall recommendation requires a further judgment about those interests. Describing a benefit accurately is the beginning of practical reasoning rather than the end.
Finally, distinguish pressure from evidence. 'Agree with this factual claim or we will cancel your invitation' gives someone a motive to express agreement. It does not establish that the claim is true. An offered reward has the same limitation. Pressure can change what someone says without changing what happened. A fair inquiry asks for the grounds of the claim and avoids treating the practical cost of dissent as a truth test.
A practical conclusion is clearer when it names its objective and assumptions. Instead of 'the long bus route is best', write 'if collecting the hill passengers is a priority and the additional journey time is acceptable, the long route serves that aim'. This version does not hide who benefits or what tradeoff is involved. Someone can disagree by challenging the forecast, proposing another route, or arguing that the time cost outweighs the access benefit.
You do not need to turn every decision into a single number. Some consequences can be counted, while other considerations require discussion or a rule. If a route adds twenty minutes for existing passengers and reaches six previously excluded passengers, write both facts. Do not announce that twenty and six can simply be subtracted. They describe different quantities and different interests. An explicit comparison invites an honest judgment instead of disguising a value choice as arithmetic.
Check recommendations against what is actually under the decision-maker's control. A committee can choose to inspect a roof, change a schedule, or request information. It cannot choose that yesterday's rainfall did not occur. A proposal should therefore describe an available action and the reasons to expect it to help. If a feared outcome is uncertain, a reversible precaution or a further check may be a reasonable response, depending on costs and responsibilities. None of these responses requires pretending the uncertainty has vanished.
A fictional community hall has water marks under a roof joint. A qualified inspector reports a leak and quotes 600 credits for a repair. Closing the hall for the work would cancel two events, each expected to contribute 100 credits toward running costs. A committee member says, 'We cannot lose 800 credits, so the roof cannot be leaking.' The arithmetic describes a possible practical impact: 600 in repair expense plus 200 in foregone contributions. It is not evidence that the inspection is wrong.
The committee should separate the questions. Does the roof leak? The inspection, photographs, and any further suitable check bear on that factual claim. Which response should the committee choose? Repair options, scheduling, expected damage from delay, obligations, and available funds bear on that decision. Whether the committee can afford a particular plan matters to the second question without settling the first.
Suppose another supplier offers a verified equivalent repair for 500 credits at a time when only one event must be canceled. Under the case's assumptions, the comparable immediate impact is 500 + 100 = 600 credits, which is 200 less than the first plan. That supports comparing the second plan favorably on this limited cost measure. It does not erase the leak or automatically settle every other consideration, such as workmanship and access.
The useful conclusion is conditional: if the quotations cover equivalent work and the timing assumptions hold, the second plan has the lower stated immediate cost. The committee can check those conditions before acting. This preserves both the unwelcome physical evidence and the legitimate concern about consequences, instead of allowing either to replace the other.
Denying an unpleasant fact. An expensive repair is not evidence that the damage is absent.
Rejecting every consequence-based reason. Expected effects are often relevant to choosing an action, though they need credible support and are not the only possible considerations.
Confusing a testable prediction with a wish. An observed result can bear on a factual hypothesis when a suitable link is established. Merely liking or fearing a result cannot do that work.
Treating one benefit as decisive. A proposal can offer a real benefit and still face stronger objections concerning costs, rights, obligations, or fairness.
State the feared consequence.
If chapter four is examined, unprepared students may fail.
This predicts an outcome the speakers dislike.
State the attempted factual conclusion.
Therefore chapter four is not examined.
The conclusion concerns the paper's actual content.
Identify the missing evidential connection.
No paper, syllabus announcement, or setter's statement has been checked.
Fear of failure supplies no observation about the paper.
Reject the wish as proof.
The topic remains unsettled by this argument.
An unpleasant possible outcome does not make its antecedent false.
Identify a relevant practical response.
Check the announced scope and prepare appropriately.
The consequence can motivate an action without establishing a favorable fact.
State the prediction with its conditions.
A working lamp on a live connected supply should illuminate when switched on.
The prediction depends on several assumptions, not just the lamp alone.
Record the observation.
The switched-on lamp remains dark.
This is an observed result rather than a preference about the result.
Compare observation with prediction.
The full predicted combination did not occur.
Darkness conflicts with the outcome expected if all stated conditions held.
Preserve the possible explanations.
Lamp fault, supply fault, or connection fault still need distinguishing.
The failed prediction does not by itself identify which assumption failed.
Separate the practical concern.
Wanting light is a reason to investigate, not evidence the room is bright.
The aim and the observation perform different roles.
Record the factual evidence.
An inspector reports a leak at the roof joint.
The report bears on the roof's condition independently of the cost of repair.
Calculate the first plan's event impact.
Two canceled events × 100 credits = 200 credits foregone.
Both expected event contributions are included in this plan.
Add the first repair expense.
600 + 200 = 800 credits immediate impact.
The comparison uses repair expense and foregone contributions consistently.
Calculate the alternative on the same basis.
500 + 100 = 600 credits immediate impact.
The second plan affects one event under the stipulated schedule.
Compare the two practical consequences.
800 − 600 = 200 credits lower for the second plan.
The difference concerns the plans' stated immediate costs.
Limit the resulting recommendation.
Prefer the second on this cost measure if scope and other relevant conditions are equivalent.
Neither the comparison nor dislike of the costs refutes the leak evidence.
State the measured result.
A checked register lists 18 current members.
The factual claim rests on the register and its coverage.
State the unwanted effect under the funding rule.
The club needs 20 members for a grant, so the recorded count misses the threshold.
This describes a consequence of the count and the rule.
Choose a conclusion that respects the evidence.
Four arguments, each offering what would follow as its reason. Match each to whether that is a good reason here.
| A good reason here | Not a reason at all here | |
|---|---|---|
| Gritting the yard would stop people falling, so the yard should be gritted. | ||
| If the pipe is cracked the repair will cost a fortune, so the pipe is not cracked. | ||
| Starting at nine would let the late bus arrive first, so we should start at nine. | ||
| If these results are right we are bottom of the league, so they are not right. |
Plan A repairs an observed leak for 600 credits and cancels two events contributing 100 each. Equivalent plan B costs 500 and cancels one such event. Complete the immediate-cost comparison; these costs do not tell us whether the leak exists.
Combine the first plan's repair and event impact.
First repair expense + two event contributions = first credits.
The first comparison includes both stated sources of immediate cost.
Use the same basis for the second plan.
Second repair expense + one event contribution = second credits.
Comparing equivalent categories avoids understating one plan's impact.
Compare the immediate costs.
First total minus second total = difference credits.
The difference supports a cost comparison, not denial of the observed leak.
*If the bus goes the long way round, everybody on the hill can be picked up. So the bus should go the long way round.* Is what would follow a good reason here?
A discussion of a survey about the club's numbers. Mark the one step that uses how unwelcome an answer would be as a reason to think it is not the answer.
This task has no paper form; do it on a device.
Four arguments that all reason from what would follow. For each, say what kind of conclusion it has, and then whether the reason belongs.
| The conclusion, in three words | What kind of conclusion? | Does the reason belong? | |
|---|---|---|---|
| Replacing the fence would keep the sheep in, so we should replace it | replace the fence | ||
| If the post is rotten the whole fence comes down, so the post is not rotten | the post is sound | ||
| Moving the meeting would let the late bus arrive first, so we should move it | move the meeting | ||
| If the ledger is right the club owes money, so the ledger is wrong | the ledger is wrong |
Four arguments from a vet's waiting room rather than a committee. For each, say what kind of conclusion it has and whether reasoning from what would follow belongs in it.
| The conclusion, in three words | What kind of conclusion? | Does the reason belong? | |
|---|---|---|---|
| The tablets would stop the itching, so the dog should have the tablets | give the tablets | ||
| If it were the joint the dog would need an operation, so it is not the joint | not the joint | ||
| If the results are right the cat needs a special diet for life, so they are wrong | the results are wrong | ||
| A shorter walk would take the weight off the leg, so the walks should be shorter | shorten the walks |
Lesson test: one question per skill, one attempt each, no hints. Your answers are checked when you submit.
A checked complete register contains 18 current members. A published grant rule requires at least 20. A plan proposes inviting new members, supported by a verified available introductory session. A speaker says losing the grant would be upsetting. Connect the evidence to the limited claims it supports.
This task has no paper form; do it on a device.
You can say why the same premise is the best kind of reason for a proposal and no reason at all for a claim about how things are, and you can name the halfway house where an unwelcome answer is a reason to check again. Tell somebody why a cracked pipe does not care what the repair costs. Next: one vivid story against a count.
15. An unwelcome membership count, step 3
Check the register's completeness and plan recruitment; do not assume the count is wrong because the grant matters.
The loss of funding motivates a response without proving a more convenient count.