Monday, January 25, 2010

Cardano's "plagiarism"

There is a known story how Tartaglia (shown above) accused Cardano of “plagiarising” his results on cubic equations that Cardano published in Ars Magna in 1545.

It is easy to find out that the solution was first obtained by Scipione del Ferro, and his pupil Antonio Mario Fiore met Tartaglia in a mathematical disputation in 1535 (those were popular and provided good income for scholars). Tartaglia derived his solution during that disputation and considered it as a great treasure and did not want to disclose when later Cardano asked him. Finally, in March 1539, Tartaglia told Cardano the derivation in an encrypted poem and required that Cardano would never tell this secret anybody.

However, later Cardano and his pupil Ferrari found Ferro’s work in Bologna, kept by Ferro’s pupil and son-in-law Annibale Nave. Furthermore, Ferrari solved quartic equations under Cardano’s supervision. After that, Cardano decided that there was no point in keeping the cubic equations secret, and he published the whole research in Ars Magna, giving proper credit to both del Ferro and Tartaglia.

Tartaglia protested publicly, with great anger and insults. Ferrari decided to protect his teacher and challenged Tartaglia for a public disputation. On 10 August 1548, the disputation was set to discuss 31 problems that contestants posed to each other in previously sent letters, and they met in front of governor of Milan, who had been named judge. Ferrari was declared a winner.

Here is the chart for the disputation set for noon in Milan. The birthdate of Tartaglia is unknown – however, we know that Cardano’s ruler of ascendent is Venus, which is strong in this chart, and his ruler of 7th Mars is here in detriment. Also, transit Saturn forms a square with Cardano’s natal Sun, in retro motion – this means that in the last months his life was not easy due to the unfair accusations.

In fact, modern academics admit that Cardano’s publication of the cubic equation solution, with given credits to both authors (del Ferro and Tartaglia) and his pupil’s results on the quartic equations (also with proper credit), are one of the earliest examples of honest citation and fair research, which became well and widely known for the common benefit – and nowadays this solution is named “cardano formula”. Tartaglia wanted to keep it for himself, probably for a profit in disputations. Who was an honest scientist?


Syam Pandeet said...

Retrograde planets are extremely interesting.Astrallworld with the divine blessings of learned gurus unveils solutions of life with the aid of vedic Indian astrology. Know your path ahead and walk towards a glorious future.


ninest123 said...

ninest123 16.01
prada handbags, longchamp outlet, longchamp, ray ban sunglasses, prada outlet, louis vuitton outlet, ray ban sunglasses, ugg boots, replica watches, tiffany jewelry, louboutin outlet, burberry, oakley sunglasses, longchamp outlet, oakley sunglasses, nike air max, nike air max, louis vuitton, michael kors outlet, louboutin, replica watches, louis vuitton, oakley sunglasses, michael kors outlet, ugg boots, nike free, burberry outlet online, gucci outlet, nike outlet, chanel handbags, ugg boots, michael kors outlet, michael kors outlet, uggs on sale, louis vuitton, michael kors, michael kors outlet, ray ban sunglasses, jordan shoes, polo ralph lauren outlet, cheap oakley sunglasses, ugg boots, louis vuitton outlet, tory burch outlet, christian louboutin outlet, louboutin shoes, tiffany and co, oakley sunglasses, polo ralph lauren outlet

ninest123 said...

burberry, hollister pas cher, hollister, nike blazer, lacoste pas cher, air force, michael kors, nike free run uk, north face, true religion outlet, hermes, nike huarache, true religion jeans, new balance pas cher, north face, air max, true religion jeans, nike air max, longchamp, louboutin pas cher, vans pas cher, nike trainers, mulberry, nike air max, true religion jeans, nike air max, replica handbags, michael kors, nike free, sac guess, michael kors, ray ban uk, vanessa bruno, ray ban pas cher, ralph lauren uk, abercrombie and fitch, oakley pas cher, tn pas cher, michael kors, timberland, ralph lauren pas cher, sac longchamp, lululemon, nike roshe, coach purses, nike roshe run, air jordan pas cher, converse pas cher, hogan, longchamp pas cher, coach outlet

ninest123 said...

iphone 5s cases, oakley, nike air max, p90x workout, mont blanc, iphone 6s cases, nfl jerseys, converse, giuseppe zanotti, mac cosmetics, jimmy choo shoes, herve leger, instyler, timberland boots, hollister, s5 cases, iphone 6s plus cases, insanity workout, north face outlet, babyliss, mcm handbags, chi flat iron, ralph lauren, vans shoes, reebok shoes, vans, celine handbags, iphone cases, ray ban, north face outlet, iphone 6 plus cases, birkin bag, nike air max, soccer jerseys, asics running shoes, beats by dre, abercrombie and fitch, iphone 6 cases, ghd, new balance, valentino shoes, bottega veneta, hollister, soccer shoes, wedding dresses, lululemon, baseball bats, louboutin, ipad cases, ferragamo shoes, gucci, nike roshe

ninest123 said...

juicy couture outlet, canada goose, hollister, moncler, ugg boots uk, lancel, marc jacobs, moncler, juicy couture outlet, links of london, swarovski, pandora jewelry, barbour, moncler, montre pas cher, louis vuitton, canada goose, ugg,uggs,uggs canada, moncler outlet, canada goose uk, wedding dresses, canada goose outlet, ugg,ugg australia,ugg italia, pandora charms, swarovski crystal, coach outlet, canada goose, pandora jewelry, moncler, ugg pas cher, replica watches, louis vuitton, toms shoes, louis vuitton, pandora charms, converse outlet, karen millen, moncler, supra shoes, louis vuitton, sac louis vuitton pas cher, doudoune canada goose, barbour jackets, moncler, thomas sabo, doke gabbana outlet, canada goose outlet, bottes ugg, canada goose, moncler
ninest123 16.01

chenlina said...

uggs on sale
replica watches for sale
nike tn pas cher
coach outlet
cheap jordans
uggs outlet
ray ban sunglasses
moncler uk
cheap uggs
ugg australia

Yaro Gabriel said...


jimmy choo sunglasses
bvlgari jewelry
minnetonka outlet
michael kors handbags
diesel jeans
canada goose outlet
trailblazers jerseys
nhl jerseys
palladium boots
canada goose outlet