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SET D,Read passage and give answers to question from 41 to 45

Epimenides was a Cretan who made one immortal statement: "All Cretans are liars."

Epimenides the Cretan says, 'that all the Cretans are liars,' but Epimenides is himself a Cretan; therefore he is himself a liar. But if he be a liar, what he says is untrue, and consequently the Cretans are veracious; but Epimenides is a Cretan, and therefore what he says is true; saying the Cretans are liars, Epimenides is himself a liar, and what he says is untrue. Thus we may go on alternately proving that Epimenides and the Cretans are truthful and untruthful.

Oyster and the pearl analogy is apt here as the complexity of the problem is like the beast guarding the pearl of mathematical logic within. Mathematical logic had a revision when Gödel put upon his Incompleteness Theorems, moving the modern mathematical logic to new heights.Hilberts problems were addressed by Gödel, theorems were in German which said

"Die Probleme mit der unentscheidbaren Variablen sind niemals mit der mathematischen Logik des Systems auf das Problem"

This means that the problems with the undecidable variable is never determined with the mathematical logic of the system to which the problem applies.This is the pearl.

Question 41: Author wants to mean by writing the passage

A. German is difficult

B. The undecidable problems have no solutions.

C. Solving the liars paradox needs logic to know who is lying.

Question 42:What is the pearl being referred to by the author?

A. Epimenides paradox.

B. Gödel Incompleteness theorems.

C. Actual pearl.

D. German language.

Question 43:Which are true statements:

A. Undecidable problems as incomprehensible to human mind.

B. German is an incomprehensible language.

Question 44 45:

Suggestion and answers are welcome, thankyou
asked in IIITH-PGEE by (245 points) | 543 views

1 Answer

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Best answer

A41: C

This means that the problems with the undecidable variable is never determined with the mathematical logic of the system to which the problem applies.

Why not B? Because author hasn't specifically mentioned they can't be solved. (No option D?)

A42: A

The paradox comprises the mathematical logic which can't be determined. It seems the incompleteness theorem would be the oyster.

A43: A -(out of the only two options)

answered by Junior (713 points)
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Could recollect only these options.

Question 41: Option C is not correct; as for a single person statement such as Epimenides, we can never know he is lying , for two people were saying such lies we could determine the lie but here in this passage only one is given.Correct option is B.Rest correct.

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