No mathematical proposition can be proven true by observation. It follows that it is impossible to know any mathematical proposition to be true.
The conclusion follows logically if which one of the following is assumed?
Premise: No proposition can be observed true
Conclusion: Impossible to know if any proposition is true
(A) Only propositions that can be proven true can be known to be true. -- NO. Irrelevant to observed to be true
(B) Observation alone cannot be used to prove the truth of any proposition. --NO. Irrelevant to known to be true
(C) If a proposition can be proven true by observation then it can be known to be true. --NO. Irrelevant to observed to be true
(D) Knowing a proposition to be true is impossible only if it cannot be proven true by observation. -- NO, it equals "known to be true is when cannot be observed to be true"
(E) Knowing a proposition to be true requires proving it true by observation. -- YES, bcs if we negate E, then it's if observed to
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The conclusion follows logically if which one of the following is assumed?
Premise: No proposition can be observed true
Conclusion: Impossible to know if any proposition is true
(A) Only propositions that can be proven true can be known to be true. -- NO. Irrelevant to observed to be true
(B) Observation alone cannot be used to prove the truth of any proposition. --NO. Irrelevant to known to be true
(C) If a proposition can be proven true by observation then it can be known to be true. --NO. Irrelevant to observed to be true
(D) Knowing a proposition to be true is impossible only if it cannot be proven true by observation. -- NO, it equals "known to be true is when cannot be observed to be true"
(E) Knowing a proposition to be true requires proving it true by observation. -- YES, bcs if we negate E, then it's if observed to
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Statistics : Posted by ClaireCHEN • on 24 Dec 2018, 07:17 • Replies 19 • Views 10636






