Syllogism Worksheet

Logic lab

Syllogism worksheet

Put an argument into standard form, test whether it’s valid, decide whether it’s sound, then close every way out until it can’t be resisted. The analysis panel updates as you fill things in.

1The argument

Kind of syllogism

2Identify the parts

  1. 1All are .
  2. 2All are .
  3. ∴So all are .

Start with the conclusion. Its subject is the minor term and its predicate is the major term. The middle term shows up in both premises but not in the conclusion. Plural nouns work best, like “reptiles”.

Subject of the conclusion
Predicate of the conclusion
In both premises, not the conclusion

3Write it in standard form

The form is locked to a pattern that always works, so this is already valid. Want a different form? Switch to Full in step 1.

Major premiseUses the middle and major terms
are
Minor premiseUses the minor and middle terms
are
ConclusionMinor term first, major term last
are

4Decide whether it’s sound

A sound argument is valid and has only true premises. Judge each premise on its own, whatever you think of the conclusion. Then face the strongest objection to it and answer it: a premise you can’t defend is a way out. Each objection starts out suggested: the standard strongest attack on that kind of claim, in your own words. Edit it to fit your topic, or write your own.

Major premise

Is premise 1 true?
Suggested

Minor premise

Is premise 2 true?
Suggested
See every premise with the evidence behind it, laid out as a case brief.

5Make it indestructible

Want it bulletproof? The full version lists every way someone could resist your argument, and tracks which ones you’ve closed.

There are only seven ways to resist a deductive argument: attack the logic, deny a premise, shift what a word means, expose a hidden assumption, call it circular, say it proves the wrong thing, or run it backwards. Steps 3 and 4 deal with the first two. Close the rest here. The analysis panel tracks every one.

Pin down every key word

Equivocation is a word quietly changing meaning partway through. Define each key word once, the way the argument needs it, and hold it to that.

Say what you’re assuming

Every argument leans on something it doesn’t say. Name it before the other side does, and say why it holds.

Don’t assume what you’re proving

If a premise is only believable to someone who already accepts the conclusion, the argument goes in a circle.

Would someone who doubts your conclusion still accept every premise?

Prove the claim that’s actually in dispute

A perfect argument for a slightly different claim is a strawman of your own position.

Does your conclusion establish exactly that, not something weaker or different?

Survive being run backwards

Your premises and the opposite of your conclusion form a contradictive triad: they can’t all be true. So anyone who rejects your conclusion has to give up a premise and run your argument backwards. Pick who you’re up against and every premise they’d give up.

Who’s running it backwards?

Premises they’d give up Pick as many as you like.

Is each premise more believable than the opposite of your conclusion?

6Explain your verdict