Girolamo Cardano was possibly one of the greatest geniuses in the world. Like most geniuses, he was temperamental, eccentric and never a model of veracity: His little book De propria vita will outlive and eclipse his fame in philosophy and natural science ... Cardano is a physician who feels his own pulse, and describes his own physical, moral and intellectual nature, together with all the conditions under which it had developed, and this, to the best of his ability, honestly and sincerely.
The work which he avowedly took as his model - the Meditations of Marcus Aurelius - he was able, hampered as he was by no Stoic maxims, to surpass in this particular. He desires to spare neither himself nor others, and begins the narrative of his career with the statement that his mother tried, and failed, to procure abortion. It is worth remark that he attributes to the stars which presided over his birth only the events of his life and his intellectual gifts, but not his moral qualities; he confesses that the astrological prediction that he would not live to the age of forty or fifty years did him much harm in his youth. But there is no need to quote from so well-known and accessible a book; whoever opens it will not lay it down till the last page.
Cardano admits that he cheated at play, that he was vindictive, incapable of all compunction, purposely cruel in his speech. He confesses it without impudence and without feigned contrition, without even wishing to make himself an object of interest, but with the same simple and sincere love of fact which guided him in his scientific researches. And, what is to us the most repulsive of all, the old man, after the most shocking experiences and with his confidence in his fellow-men gone, finds himself after all tolerably happy and comfortable. He has still left him a grandson, immense learning, the fame of his works, money, rank and credit, powerful friends, the knowledge of many secrets, and, best of all, belief in God. After this he counts the teeth in his head and finds that he has fifteen.
Yet when Cardano wrote, inquisitors and Spaniards were already busy in Italy, either hindering the production of such natures, or, where they existed, by some means or other putting them out of the way.
He was born in Pavia, Lombardy, the illegitimate child of Fazio Cardano a mathematically gifted lawyer who was a friend of Leonardo da Vinci. In his autobiography, Cardano claimed that his mother had attempted to abort him. Shortly before his birth, his mother had to move from Milan to Pavia to escape the plague; her three other children died from the disease.
In 1520, he entered the University of Pavia and later in Padua studied medicine. His eccentric and confrontational style did not earn him many friends and he had a difficult time finding work after his studies had ended. In 1525, Cardano repeatedly applied to the College of Physicians in Milan, but was not allowed due to his reputation and illegitimate birth.
Eventually, he managed to develop a considerable reputation as a physician and his services were highly valued at the courts. He was the first to describe typhoid fever.
Today, he is best known for his achievements in algebra. He published the solutions to the cubic and quartic equations in his 1545 book Ars Magna. The solution to one particular case of the cubic, x3 + ax = b (in modern notation), was communicated to him by Niccolo Fontana Tartaglia (who later claimed that Cardano had sworn not to reveal it, and engaged Cardano in a decade-long fight), and the quartic was solved by Cardano's student Lodovico Ferrari. Both were acknowledged in the foreword of the book, as well as in several places within its body. In his exposition, he acknowledged the existence of what are now called imaginary numbers, although he did not understand their properties (Mathematical field theory was developed centuries later). In Opus novum de proportionibus he introduced the binomial coefficients and the binomial theorem.
Cardano was notoriously short of money and kept himself solvent by being an accomplished gambler and chess player. His book about games of chance, Liber de ludo aleae, written in the 1560s, but not published until 1663, contains the first systematic treatment of probability, as well as a section on effective cheating methods.
Cardano invented several mechanical devices including the combination lock, the gimbal consisting of three concentric rings allowing a supported compass or gyroscope to rotate freely, and the Cardan shaft with universal joints, which allows the transmission of rotary motion at various angles and is used in vehicles to this day. He studied hypocycloids, published in de proportionibus 1570. The generating circles of these hypocycloids were later named Cardano circles or cardanic circles and were used for the construction of the first high-speed printing presses. He made several contributions to hydrodynamics and held that perpetual motion is impossible, except in celestial bodies. He published two encyclopedias of natural science which contain a wide variety of inventions, facts, and occult superstitions. He also introduced the Cardan grille, a cryptographic tool, in 1550.
Significantly, in the history of deaf education, he was one of the first to state that deaf people could learn without learning how to speak first.
Cardano's eldest and favorite son was executed in 1560 after he confessed to having poisoned his cuckolding wife. His other son was a gambler, who stole money from him. He allegedly cropped the ears of one of his sons. Cardano himself was accused of heresay in 1570 because he had computed and published the horoscope of Jesus in 1554. Apparently, his own son contributed to the prosecution. He was arrested, had to spend several months in prison and was forced to abjure his professorship. He moved to Rome, received a lifetime annuity from Pope Gregory XIII (after first having been rejected by Pope Pius V) and finished his autobiography. He died there on the day he had (supposedly) astrologically predicted earlier; some suspect he may have committed suicide.
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