PT130.S4.Q15

PrepTest 130 - Section 4 - Question 15

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Proofs relying crucially on computers provide less certainty than do proofs not requiring computers. █████ █████████ █████ ██████ ██████ ██████████████████ ███████ ████ ██████ ███ █████ ███████ ███ ██████ ██ █████████ ████ ███████ ███ █████████ ███████████ ███ █████████ ██████ ████████████ ██████ █████ ███ ██ ████████ ██ █████ ████████████ ██ ███████ ██ █████ █████ ███ █████ ████ ██████████ ████████████ ███ ████ ███ ████████ ██ █ ███████████ ██████ ████ █ ██████████ ██ █████ ██████████

Summary

Proofs that rely on computers give less certainty than do proofs that don’t require using computers. This is because humans alone can’t verify computer-dependent proofs. With proofs that don’t require computers, we can verify them by human calculation. Note that although we often use computers to verify these non-computer-dependent proofs, we’re using these computers for convenience, not because we depend on the computers.

Strongly Supported Conclusions

Computers can provide assistance concerning tasks for which computers are not necessary.

Whether humans can verify a proof without the aid of computers is a factor in the level of certainty that the proof provides.

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15.

The statements above, if true, ████ ████████ ███████ █████ ███ ██ ███ ██████████

a

Only if a ███████ ██████ ██ ███████ ██ ███████ ███ ████ ██ █ ████████ ███ ███ █████ ████ ███ ██████ ██ █████████ ████ ███ █████ ██ ████████

b

We can never ██ ██████████ ████ ████ ██████ ███████ █████████ ██ █████████ ██ ███ ███████ ██████ ████ ██████ ██ ███ ███████

c

Whenever a computer ████████ █████ ███████████ ██ █ ██████ ███ ██████ ██ █████████ ████████ ██ ███ █████ ██ ████████

d

If one can ███████████ █████████ ██ █████ ████████████ ███ ███ ██ ██████████ ███████ ██ ███

e

It is impossible ██ ██████████ ███ █████████ █████████ ██ ██████ ██ █████ ██ ██████████ ███████ ████ ██ ██████████

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