1. Celestial phenomena.
2. Atmosphere.
3. Globe.
4. Substance of earth, air, fire, and water.
5. Genera, species, etc.[[2]]

Descartes, following Bacon, had much to do with the establishment of method, although he laid more stress upon deduction than upon induction. With Bacon he believed that there was need of a better method of finding out the truth than that of logic. He was strong in his refusal to recognize anything as true that he did not understand, and had no faith in the mere assumption of truth, insisting upon absolute proof derived through an intelligent order. Perhaps, too, his idea was to establish universal mathematics, for he recognized measurements and lines everywhere in the universe, and recognized the universality of all natural phenomena, laying great stress on the solution of problems by measurement. He was a fore runner of Newton and many other scientists, and as such represents an epoch-making period in scientific development.

The trend of thought by a few leaders having been directed to the observation of nature and the experimentation with natural phenomena, the way was open for the shifting of the centre of thought of the entire world. It only remained now for each scientist to work out in his own way his own experiments. The differentiation of knowledge brought about many phases of thought and built up separate divisions of science. While each one has had an evolution of its own, all together they have worked out a larger progress of the whole. Thus Gilbert (1540-1603) carried on practical experiments and observations with the lodestone, or magnet, and thus made a faint beginning of the study of electrical phenomena which in recent years has played such an important part in the progress of the world. Harvey (1578-1657) by his careful study of the blood determined its circulation through the heart by means of the arterial and venous systems. This was an important step in leading to anatomical studies and set the world far ahead of the medical studies of the Arabians.

Galileo (1564-1642), in his study of the heavenly bodies and the universe, carried out the suggestion of Copernicus a century before of the revolution of the earth on its axis, to take the place of the old theory that the sun revolved around the earth. Indeed, this was such a disturbing factor among churchmen, theologians, and pseudo-philosophers that Galileo was forced to recant his statements. In 1632 he published at Florence his Dialogue on the Ptolemaic and Copernican Systems of the World. For this he was cited to Rome, his book ordered to be burned, and he was sentenced to be imprisoned, to make a recantation of his errors, and by way of penance to recite the seven penitential psalms once a week.

It seems very strange 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 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 also held "that the square of the periodic time of any planet is proportional to the cube of its mean distance from the sun," and "that the area swept by the radius vector from the planet to the sun is proportional to the time."[[4]] He was much aided in his measurements by the use of a system of logarithms invented by John Napier (1614). Many measurements were established regarding heat, pressure of air, and the relation of solids and liquids.

Isaac Newton, by connecting up a single phenomenon of a body falling a distance of a few feet on the earth with all similar phenomena, through the law of gravitation discovered the unity of the universe. Though Newton carried on important investigations in astronomy, studied the refraction of light through optic glasses, was president of the Royal Society, his chief contribution to the sciences was the tying together of the sun, the planets, and the moons of the solar system by the attraction of gravitation. Newton was able to carry along with his scientific investigations a profound reverence for Christianity. That he was not attacked shows that there had been considerable progress made in toleration of new ideas. With all of his greatness of vision, he had the humbleness of a true scientist. A short time before his death he said: "I know not what I may appear to the world; but to myself I seem to have been only like a boy playing on the seashore, and diverting myself in now and then finding a smoother pebble, or a prettier shell, than ordinary, whilst the great ocean of truth lay all undiscovered before me."

Science Develops from Centres.—Bodies of truth in the world are all related one to another. Hence, when a scientist investigates and experiments along a particular line, he must come in contact more or less with other lines. And while there is a great differentiation in the discovery of knowledge by investigation, no single truth can ever be established without more or less relation to all other truths. Likewise, scientists, although working from different centres, are each contributing in his own way to the establishment of universal truth. Even in the sixteenth century scientists began to co-operate and interchange views, and as soon as their works were published, each fed upon the others as he needed in advancing his own particular branch of knowledge.