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Gerolamo Cardano (Mathematician)

From these beginnings, as it were, have issued bitterness, contentious obstinancy, lack of amenity, hasty judgement, anger, and an intense desire for revenge—to say nothing of headstrong will; that which many damn, by word at least, was my delight.

— Gerolamo Cardano men

I am cold of heart, warm of brain, and given to never-ending meditation; I ponder over ideas, many and weighty, and even over things which can never come to pass. I am able to admit two distinct trains of thought to my mind at the same time.

— Gerolamo Cardano war

I have accustomed my features always to assume an expression quite contrary to my feelings; thus I am able to feign outwardly, yet within know nothing of dissumulation. This habit is easy if compared to the practice of hoping for nothing, which I have bent my efforts toward acquiring for fifteen successive years, and have at last succeeded.

— Gerolamo Cardano success

My personal affairs are not as highly esteemed as men commonly value their own interests—vain, empty affairs like those great clouds seen in the wake of the sunset which are meaningless and soon pass away.

— Gerolamo Cardano men

This I recognize as unique and outstanding among my faults—the habitof preferring to say above all things what I know to be displeasing to the ears of my hearers. I keep it up wilfully, in no way ignorant of how many enemies it makes for me. Yet I avoid this practice in the presence of my benefactors and of my superiors. It is enough not to fawn upon these, or at least not to flatter them.

— Gerolamo Cardano man

What if one should address a word to the kings of the earth and say, Not one of you but eats lice, flies, bugs, worms, fleas—nay the very filth of your servants! With what an attitude would they listen to such statements, though they be truths? What is this complacency then but an ignoring of conditions, a pretense of not being aware of what we know exists, or a will to set aside a fact by force? And so it is with everything else foul, vain, confused and untrue in our lives.

— Gerolamo Cardano truth

I have not lost my faith; and this I must attribute more to a miracle than to my own wisdom; more to Divine Providence than to my own virtue. Steadfastly, in fact from my earliest childhood, I have made this my prayer, Lord God grant me long life, and wisdom, and health of mind and body.

— Gerolamo Cardano life

My father, in my earliest childhood, taught me the rudiments of arithmetic, and about that time made me acquainted with the arcana; whence he had come by this learning I know not. This was about my ninth year. Shortly after, he instructed me in the elements of the astronomy of Arabia, meanwhile trying to instill in me some system of theory for memorizing, for I had been poorly endowed with the ability to remember. After I was twelve years old he taught me the first six books of Euclid, but in such a manner that he expended no effort on such parts as I was able to understand by myself. This is the knowledge I was able to acquire and learn without any elementary schooling

— Gerolamo Cardano knowledge

Since this art surpasses all human subtelty and the perspecuity of mortal talent and is truly a celestial gift and a very clear test of the capacity of mans minds, whoever applies himself to it will believe that there is nothing that he cannot understand.

— Gerolamo Cardano art

Although a long series of rules might be added and a long discourse given about them, we conclude our detailed consideration with the cubic, others being merely mentioned, even if generally, in passing. For as positio refers to a line, quadratum to the surface, and cubum to a solid body, it would be very foolish for us to go beyond this point. Nature does no permit it.

— Gerolamo Cardano nature

His career is an account of the most extraordinary and inconsistent acts. A gambler, if not a murderer, he was an ardent student of science, solving problems which had long baffled all investigation; at one time in his life he was devoted to intrigues which were a scandal even in the sixteenth century, at another he did nothing but rave on astrology, and yet at another he declared that philosophy was the only subject worthy of a mans attention. His was the genius that was closely allied to madness.

— Gerolamo Cardano life

Cardan was the most distinguished astrologer of his time, and when he settled in Rome he received a pension in order to secure his services as astrologer to the papal court. This proved fatal to him for, having foretold that he should die on a particular date, he felt obliged to commit suicide in order to keep up his reputation—so at least the story runs.

— Gerolamo Cardano time

The Ars Magna is a great advance on any algebra previously published. Hitherto algebraists had confined their attention to those roots of equations which were positive. Cardan discussed negative and even complex roots, and proved that the latter would always occur in pairs, though he declined to commit himself to any explanation as to the meaning of these sophistic quantities which he said were ingenious though useless.

— Gerolamo Cardano self

He gave thirteen forms of the cubic which have positive roots, these having already been given by Omar Kayyam.

— Gerolamo Cardano ya

Cardanos entertaining books on science and curiosities were among the best read and most pirated works in the sixteenth century. his work on the Great Art has been characterized as the first that goes decisively beyond the attainments of classical Greek mathematics.

— Gerolamo Cardano science

Most important for the history of science is the fact that Liber de Ludo Aleae, The Book of Games of Chance, contains the first study of the principles of probability. it would seem much more just to date the beginnings of probability theory from Cardanos treatise rather than the customary reckoning from Pascals discussions with his friend de Méré and the ensuing correspondence with Fermat at least a century after Cardano

— Gerolamo Cardano science

Cardano was a man of universal interests, and much of his ability must have been inherited from his father, Fazio Cardano a lawyer but also deeply steeped in the medical sciences, mathematics, and all kinds of occult lore he had a high reputation as a scholar in his native town; even Leonardo da Vinci notes several times that he consulted Messer Fazio on geometric questions he was appointed as a public lecturer in geometry.

— Gerolamo Cardano science

A great number of writers on the history of medicine have indicated important observations and suggestions which made their intitial appearance with Cardano.

— Gerolamo Cardano history

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