Practice question · Estimate
A sentence contains 4 distinct atomic propositions. Set the number of rows its truth table requires.
Estimate on a scale from No rows (0) to 32 rows (32).
Hints
- Each atom doubles the number of rows.
- Compute 2 to the power 4.
Show the answer
16 (answers within ±1.5 count)
Why
rows. Doubling per atom is easy to underestimate: going from 4 atoms to 8 does not double the work, it multiplies it by sixteen.
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?
- Two sentences count as logically equivalent as soon as their truth-table columns agree in at least one row.
- 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.