Words to know
premise
A statement offered as a reason for a conclusion.
valid
Describes a deductive argument whose conclusion must be true if its premises are true.
sound
Valid, with all premises actually true.
enthymeme
An argument with an unstated premise that the reader is expected to supply.
fallacy
A flaw in reasoning that makes an argument seem stronger than it is.
principle of charity
Interpreting an argument in its strongest reasonable form before evaluating it.
fallacy fallacy
Concluding that a claim is false just because someone argued for it badly.
Hook: right answer, wrong reasoning
All birds can fly. Penguins are birds. So penguins can fly. The logic is perfect: if the first two statements were true, the third would have to be. The problem is the first statement. Some Canadians like snow. Mei is Canadian. So Mei likes snow. Mei might well like snow, but the reasoning does not show it.
Evaluating an argument means asking two different questions: Are the reasons true? and Do the reasons actually support the conclusion? This lesson gives you the vocabulary of logic used in first-year philosophy and law courses, applied to the arguments you meet in editorials, letters and speeches.
Remember from Grade 11
In ENG3U you learned to find and fix eight common fallacies in your own writing: straw man, false dilemma, hasty generalization, slippery slope, post hoc, ad hominem, bandwagon and appeal to questionable authority, and you used the Toulmin warrant to find unstated assumptions. Watch for them in the letter below too. This lesson adds subtler fallacies and the tools of validity, soundness and the enthymeme.
Validity and soundness
A deductive argument claims that its conclusion follows necessarily.
- It is valid if the conclusion must be true whenever the premises are true. Validity is about structure, not facts.
- It is sound if it is valid and all its premises are actually true.
The penguin argument is valid but unsound (a false premise). The Mei argument is invalid (some Canadians does not lead to Mei), even if its conclusion happens to be true.
Inductive arguments (from examples or data) are judged differently: not valid or invalid, but strong or weak, depending on how well the evidence supports a probable conclusion.
Hidden premises: the enthymeme
Most real arguments leave a premise unstated. Aristotle called this an enthymeme. It has worked for sixty years, so it should not change hides the premise what has worked before will keep working (or will keep being the best option). Spelling out the hidden premise is often the fastest way to evaluate an argument, because hidden premises are where weak assumptions live. (This is the same move as finding a warrant in the Toulmin model.)
A text to practise on
Letter to the editor: Keep the Carnival on the Lake
(An invented letter written for this lesson.)
(1) The town's plan to move the Winter Carnival from Mill Lake to Riverside Park is a mistake. The carnival has been held on the lake for sixty years, and what has worked for sixty years should not be changed.
(2) The council says the ice has become unsafe in some recent winters. But every outdoor activity carries some risk; walking to the arena carries risk. If we cancelled everything with a risk, we would never leave the house, and nobody wants that.
(3) Councillor Ross, who now says the lake ice is too risky, skated on Mill Lake herself last winter. If she trusted the ice then, why should anyone listen to her now?
(4) The council promised that a park carnival would cost no more than the lake carnival. When the budget showed it would cost the same, supporters of the move were satisfied. But now that costs are equal, I ask: why should taxpayers pay the same for a worse carnival?
(5) A carnival on a lake is the real carnival, because the real Winter Carnival is the one held on the lake. Besides, the town still has not fixed the potholes on Queen Street.
Check your understandingQuiz
1. An argument is sound when...
2. Every outdoor activity carries some risk, used to dismiss a serious ice-safety concern, is an example of...
3. The real carnival is on the lake because the real carnival is the one on the lake is...
4. When cost was the test and costs turned out equal, the writer switched to quality. This is...
5. Which statement avoids the fallacy fallacy?
6. The hidden premise in It has worked for sixty years, so it should not change is...
7. Inductive arguments are evaluated as...