Paradoxes: fill in the blanks · Grade 11

The word bank and sentences

Directions: Read each sentence. Choose the best word from the word bank and write it on the line. Some words are not used.

• Word bank: cross out each word as you use it
• tortoise · Russell · limit · themselves · guest · liar grandfather · Theseus · heap · incompleteness · barber
• 1 The · paradox imagines a time traveler preventing their own birth.
• 2 Zeno argued that Achilles could never overtake a ____.
• 3 Russell's paradox asks about the set of all sets that do not contain
• 4 The sorites paradox asks when adding grains of sand makes a ____.
• 5 Hilbert's imaginary hotel with infinitely many rooms can always fit one more
• 6 The sentence this sentence is false is a version of the · paradox.
• 7 Calculus resolves many of Zeno's paradoxes with the idea of a ____.
• 8 If every plank of a ship is replaced, is it the same ship? This is the Ship of
• 9 Kurt Godel's · theorems showed limits of formal proof.