Practice question · True or false
Two sentences count as logically equivalent as soon as their truth-table columns agree in at least one row.
Hints
- Equivalence must hold under EVERY possible assignment, not merely one.
- Any two sentences will agree somewhere by chance; that settles nothing.
Show the answer
False
Why
False, the columns must match in every row. Almost any two sentences agree somewhere by coincidence, so agreement in one row establishes nothing at all. This is why De Morgan’s laws are checked row by row.
Practise Truth Tables
The app has 3 more questions on this lesson, and keeps your place in the course. Philosophy I is free to start.
More questions on Truth Tables
- How many rows does a truth table need for a sentence containing 5 distinct atomic propositions?
- Why does the exponential growth of truth tables motivate natural deduction?
- Arrange the steps of building a truth table in order.
- Propositional logic is termed decidable because truth tables offer an exhaustive decision procedure. What…
- Which are correct statements of De Morgan’s laws?
- Match each truth-table result to what it establishes about an argument.
- A sentence contains 4 distinct atomic propositions. Set the number of rows its truth table requires.