Everything about Girolamo Cardano totally explained
Gerolamo Cardano or
Girolamo Cardano (English
Jerome Cardan, Latin
Hieronymus Cardanus;
September 24,
1501 —
September 21 1576) was a celebrated
Italian Renaissance mathematician,
physician,
astrologer and
gambler.
He was born in
Pavia, Italy, 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 didn't earn him many friends and he'd a difficult time finding work after his studies had ended. In 1525, Cardano repeatedly applied to the College of Physicians in Milan, but wasn't 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's 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 didn't understand their properties.
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 published only in 1663, after his death, 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 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
heresy in 1570 because he'd 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'd (supposedly)
astrologically predicted earlier; some suspect he may have committed suicide.
Publications
- De malo recentiorum medicorum usu libellus, Venice, 1536 (on medicine).
- Practica arithmetice et mensurandi singularis, Milan, 1539 (on mathematics).
- Artis magnae, sive de regulis algebraicis (also known as Ars magna), Nuremberg, 1545 (on algebra).
- De immortalitate (on alchemy).
- Opus novum de proportionibus (on mechanics).
- Contradicentium medicorum (on medicine).
- De subtilitate rerum, Nuremberg, Johann Petreius, 1550 (on natural phenomena).
- De libris propriis, Leiden, 1557 (commentaries).
- De varietate rerum, Basle, Heinrich Petri, 1559 (on natural phenomena).
- Opus novum de proportionibus numerorum, motuum, ponderum, sonorum, aliarumque rerum mensurandarum. Item de aliza regula, Basel, 1570.
- De vita propria, 1576 (autobiography).
- Liber de ludo aleae, posthumous (on probability).
- De Musica, ca 1546 (on music), posthumously published in Hieronymi Cardani Mediolensis opera omnia, Sponius, Lyons, 1663
- De Consolatione, Venice, 1542
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