Gerolamo Cardano’s Followers (15)

Gerolamo Cardano

Born

in Pavia, Lombardia, Italy

September 14, 1501

Died

September 11, 1578

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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 admitted due to his reputation and illegitimate birth.
Eventually, he managed t 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 admitted 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 Niccolò 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.

Portrait of Cardano on display at the School of Mathematics and Statistics, University of St Andrews.
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 ("Book on Games of Chance") , written in 1526, 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.
Someone also assumed to Cardano the credit for the invention of the so called Cardano's Rings, also called Chinese Rings, but it is very probable that they are more ancient than Cardano.
Significantly, in the history of education of the deaf, he said that deaf people were capable of using their minds, argued for the importance of teaching them, and was one of the first to state that deaf people could learn to read and write without learning how to speak first. He was familiar with a report by Rudolph Agricola about a deaf mute who had learned to write.
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 had computed and published the horoscope of Jesus in 1554. Apparen ...more

Combine Editions
Gerolamo Cardano’s books

Average rating: 3.61 · 38 ratings · 5 reviews · 18 distinct works

	The Book on Games of Chance: The 16th-Century Treatise on Probability by Gerolamo Cardano, Samuel S. Wilks (Foreword), Sydney Henry Gould (Translator) 3.58 avg rating — 31 ratings — published 2015 — 2 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	De Subtilitate Rerum 4.67 avg rating — 3 ratings — published 1550	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	L'oroscopo di Cristo by Gerolamo Cardano, Armando Torno (Editor, Translator, Afterword) really liked it 4.00 avg rating — 1 rating — published 1554 — 2 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Della mia vita liked it 3.00 avg rating — 1 rating	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Neroos Lof 0.00 avg rating — 0 ratings — published 2010 — 2 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	La Science Du Monde, Ou La Sagesse Civile (2nde Éd.) (Éd.1652) (Philosophie) (French Edition) by Gerolamo Cardano, Gerolamo Cardano 0.00 avg rating — 0 ratings — published 2012	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	El libro de los sueños by Gerolamo Cardano, Marciano Villanueva Salas (Translator) 0.00 avg rating — 0 ratings — published 1562 — 2 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Mis libros by Gerolamo Cardano, Francisco Socas (Editor) 0.00 avg rating — 0 ratings	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Hieronymi Cardani Mediolanensis, Bononiensis Que Ciuis, Medicinam Supra Ordinariam in Florentissima Academia Bononiensi Publicè Profitentis, in Septem ... Mediolanensem, Eius Nominis 0.00 avg rating — 0 ratings	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Hieronymi Cardani Mediolanensis, Bononiensis Que Ciuis, Medicinam Supra Ordinariam in Florentissima Academia Bononiensi Publicè Profitentis, in Septem ... Mediolanensem, Eius Nominis 0.00 avg rating — 0 ratings	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars

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Quotes by Gerolamo Cardano (?)

“Play is a very good test of a man's patience or impatience. The greatest advantage in gambling comes from not playing at all. But there is very great utility in it as a test of patience, for a good man will refrain from anger even at the moment of rising from the game in defeat.”
― Gerolamo Cardano, The Book on Games of Chance: The 16th-Century Treatise on Probability

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