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Nicole Oresme

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Nicole Oresme was a highly influential French philosopher during the later Middle Ages. He lived from January 1, 1325, to July 11, 1382. Oresme was a man of many different roles and deep interests. He served as a counselor to King Charles V of France. He also held the high religious office of Bishop of Lisieux. His intellectual work covered many fields including mathematics, physics, and astronomy. He was considered one of the most original thinkers in 14th-century Europe.

Oresme Spheres
Oresme Spheres

Oresme's early life likely began in a modest setting. He was born in the village of Allemagne, near Caen in Normandy. Because he attended the College of Navarre, historians believe he came from a peasant family. This college helped students who were too poor to pay their own way. Oresme studied the "arts" at the University of Paris. There, he studied alongside other famous thinkers like Jean Buridan. By 1342, he was already a regent master in arts. He later earned a doctorate in theology in 1356. This year, he also became the grand master of the College of Navarre.

In the field of cosmology, Oresme explored the movement of the Earth. In his book, *Livre du ciel et du monde*, he examined the rotation of the Earth. He looked at evidence for and against the idea that the Earth spins on its axis. One argument against a moving Earth was that it would leave the air behind. This would supposedly cause massive winds blowing from east to west. Oresme rejected this physical argument. He believed that the Earth, water, and air would all share the same motion. He also noted that it would be more economical for a small Earth to rotate. It would be much harder for a massive sphere of stars to move. However, he concluded that these arguments were not conclusive. He ultimately maintained that the heavens move and not the Earth.

Oresme made massive contributions to the field of mathematics. He developed a way to visualize qualities using plane figures. He used the terms *intensio* and *extensio* to describe degrees of a quality. Today, we might call these the intensity and the extent of something. He represented these ideas using what we now call rectangular coordinates.

For example, he could represent heat using a line. He used the length of a line to show how heat changed. This method allowed him to analyze local motion as well. He showed that speed could be represented by the intensity of a line. Time could be represented by the length of the base. The area of the resulting shape represented the distance traveled. This method was published over 200 years before Galileo made similar ideas famous.

His mathematical work also included very advanced logical proofs. Oresme was the first mathematician to prove the divergence of the harmonic series. A series diverges if its sum grows without a finite limit. He used a clever argument involving powers of two to prove this. He showed that the sum of the terms would always grow. This proof was so advanced that it was not proven again until the 17th century. He also worked on the concept of fractional powers. Additionally, he explored the idea of probability over infinite sequences. These ideas were hundreds of years ahead of their time.

Oresme also held a complex view of astrology. He divided astrology into six distinct parts to analyze them. The first part was astronomy, which he considered a good science. He believed the movements of heavenly bodies were real but not perfectly knowable. He also studied how stars might influence earthly events. He did not deny that such influences might exist. However, he was very skeptical about the ability to predict the future. He used math to show that planetary positions never repeat exactly. Because the periods of planets are incommensurate, or irrational, they never align the same way twice. This meant astrologers could not know the future with exactness.

Finally, Oresme's work touched on the nature of human behavior and science. He categorized certain types of astrology as "totally false" arts. This included using stars to decide on business deals or marriages. Regarding birth charts, he had a more measured view. He denied that the stars predetermined a person's path. He believed that humans possess free will. He did suggest that heavenly bodies might influence a person's habitual mood. This would happen through the combination of the four humours in the body. His skepticism was shaped by a deep understanding of the limits of science.

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File:Oresme Spheres.jpg
Oresme Spheres.jpg
File:Nicolas d'Oresme – De latitudinibus formarum, 1486 – BEIC 164981.jpg
Nicolas d'Oresme – De latitudinibus...
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