PrepTest 44, Section 2, Question 11
For many centuries it was believed that only classical Euclidean geometry could provide a correct way of mathematically representing the universe. Nevertheless, scientists have come to believe that a representation of the universe employing non-Euclidean geometry is much more useful in developing certain areas of scientific theory. In fact, such a representation underlies the cosmological theory that is now most widely accepted by scientists as accurate.
For many centuries it was believed that only classical Euclidean geometry could provide a correct way of mathematically representing the universe. Nevertheless, scientists have come to believe that a representation of the universe employing non-Euclidean geometry is much more useful in developing certain areas of scientific theory. In fact, such a representation underlies the cosmological theory that is now most widely accepted by scientists as accurate.
For many centuries it was believed that only classical Euclidean geometry could provide a correct way of mathematically representing the universe. Nevertheless, scientists have come to believe that a representation of the universe employing non-Euclidean geometry is much more useful in developing certain areas of scientific theory. In fact, such a representation underlies the cosmological theory that is now most widely accepted by scientists as accurate.
For many centuries it was believed that only classical Euclidean geometry could provide a correct way of mathematically representing the universe. Nevertheless, scientists have come to believe that a representation of the universe employing non-Euclidean geometry is much more useful in developing certain areas of scientific theory. In fact, such a representation underlies the cosmological theory that is now most widely accepted by scientists as accurate.
Which one of the following is most strongly supported by the statements above?
Scientists who use Euclidean geometry are likely to believe that progress in mathematical theory results in progress in natural science.
Scientists generally do not now believe that classical Euclidean geometry is uniquely capable of giving a correct mathematical representation of the universe.
Non-Euclidean geometry is a more complete way of representing the universe than is Euclidean geometry.
An accurate scientific theory cannot be developed without the discovery of a uniquely correct way of mathematically representing the universe.
The usefulness of a mathematical theory is now considered by scientists to be more important than its mathematical correctness.
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