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that a man who could make a telescope to study the heavenly bodies and carry on experiments with such skill that he has been called the founder of experimental science could be forced to recant the things which he was convinced by experiment and observation to be true. However, it must be remembered that the mediaeval doctrine of authority had taken possession of the minds of the world of thinkers to such an extent that to oppose it openly seemed not only sacrilege but the tearing down of the walls of faith and destroying the permanent structure of society. Moreover, the minds of all thinkers were trying to hold on to the old while they developed the new, and not one could think of destroying the faith of the church. But the church did not so view this, and took every opportunity to suppress everything new as being destructive of the church. No one could contemplate the tremendous changes that might have been made in the history of the world if the church could have abandoned its theological dogmas far enough to welcome all new truth that was discovered in God's workshop. To us in the twentieth century who have such freedom of expressing both truth and untruth, it is difficult to realize to what extent the authorities of the Middle Ages tried to seal the fountains of truth. Picture a man kneeling before the authorities at Rome and stating: "With a sincere heart and unfeigned faith I abjure, curse, and detest the said errors and heresies. I swear that for the future I will never say nor assert anything verbally or in writing which may give rise to a {463} similar suspicion against me."[3] Thus he was compelled to recant and deny his theory that the earth moves around the sun. _Measurement in Scientific Research_.--All scientific research involves the recounting of recurring phenomena within a given time and within a given space. In order, therefore, to carry on systematic research, methods of measuring are necessary. We can thus see how mathematics, although developed largely through the study of astronomy, has been necessary to all investigation. Ticho Brahe and Kepler may be said to have accentuated the phase of accurate measurement in investigation. They specialized in chemistry and astronomy, all measurements being applied to the heavenly bodies. Their main service was found in accurate records of data. Kepler maintained "that every planet moved in an ellipse of which the sun occupied one focus." He a
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