Supertask - Quiz
  • 1. What is a supertask defined as?
A) An uncountable sequence of operations in an infinite time.
B) A single operation taking an infinite amount of time.
C) A finite sequence of operations in an infinite time.
D) A countably infinite sequence of operations in a finite time.
  • 2. What is a hypertask?
A) A task consisting of an uncountable number of operations.
B) A task consisting of exactly ten operations.
C) A task that occurs in a zero-length interval.
D) A task performed by a supercomputer.
  • 3. What term refers to a hypertask including one task for each ordinal number?
A) Zeno-task
B) Megatask
C) Ultratask
D) Gigatask
  • 4. Who coined the term 'supertask'?
A) Zeno of Elea
B) Achilles
C) Clark and Read
D) James F. Thomson
  • 5. Which specific device did James F. Thomson devise to illustrate supertasks?
A) Thomson's switch
B) Thomson's clock
C) Thomson's lamp
D) Thomson's paradox
  • 6. Who derived the term 'hypertask'?
A) Aristotle
B) James F. Thomson
C) Clark and Read
D) Zeno of Elea
  • 7. Why are hypertasks and ultratasks considered impossible?
A) The human mind cannot comprehend them.
B) A finite interval cannot contain an uncountable number of finite intervals.
C) They require more energy than exists in the universe.
D) They violate the laws of quantum mechanics.
  • 8. Why is a finite interval unable to contain an uncountable number of finite intervals?
A) Because it is infinite.
B) Because it is second-countable.
C) Because it is empty.
D) Because it is too small.
  • 9. To whom is the origin of interest in supertasks normally attributed?
A) Clark and Read
B) Zeno of Elea
C) James F. Thomson
D) Achilles
  • 10. What did Zeno claim about motion?
A) It is an illusion caused by supertasks.
B) It is only possible for deities.
C) It is a simple task.
D) It is impossible.
  • 11. In Zeno's argument, why does Achilles struggle to reach point B?
A) Because he lacks the motivation to finish.
B) Because there is always another half-distance left to traverse.
C) Because point B is infinitely far away.
D) Because he is running too slowly.
  • 12. What conclusion did Zeno draw from his observation of infinite steps in travel?
A) Motion is a form of teleportation.
B) Motion is an uncountable task.
C) Motion is a supertask.
D) Motion is a finite act of will.
  • 13. What logical form does Zeno's argument against motion follow?
A) A scientific experiment measuring speed.
B) Premises regarding supertasks leading to the impossibility of motion.
C) A description of celestial bodies.
D) A mathematical proof involving imaginary numbers.
  • 14. How do most subsequent philosophers respond to Zeno's argument?
A) They prove that Zeno was correct.
B) They reject his conclusion in favor of common sense.
C) They ignore his arguments entirely.
D) They rewrite the definitions of physics.
  • 15. What logical tool do philosophers use to reverse Zeno's argument?
A) Modus ponens
B) Modus tollens
C) Reductio ad absurdum
D) Syllogistic logic
  • 16. What is the speed of Achilles in Zeno's paradox?
A) 0.1 m/s
B) 1 m/s
C) 2 m/s
D) 0.9 m/s
  • 17. What is the speed of the tortoise in Zeno's paradox?
A) 1 m/s
B) 0.9 m/s
C) 0.01 m/s
D) 0.1 m/s
  • 18. How far ahead does the tortoise start?
A) 0.9 metres
B) 0.1 metres
C) 1 metre
D) 0.09 metres
  • 19. According to common sense, how long does it take for Achilles to catch the tortoise?
A) 0.9 seconds
B) 0.1 seconds
C) 1 second
D) 10 seconds
  • 20. What is the second interval distance Achilles must cover after the initial 0.9 metres?
A) 0.1 metres
B) 0.09 metres
C) 0.009 metres
D) 0.9 metres
  • 21. What is the state of Thomson's lamp at time t = 0?
A) Off
B) Flickering
C) On
D) Broken
  • 22. When is the first flip of Thomson's lamp switch?
A) t = 1
B) t = 0
C) t = 1/2
D) t = 1/4
  • 23. Which philosopher claims Thomson's lamp is inconsistent using internal set theory?
A) McLaughlin
B) Grünbaum
C) Romero
D) Benacerraf
  • 24. Why does Grünbaum's design ultimately fail according to the text?
A) The energy required would exceed the lamp's capacity.
B) Electrons would jump the gap between contacts.
C) The wire would eventually break from the strain.
D) The time dilation would stop the wire from moving.
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