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Although women excelled in many scientific areas during the eighteenth century, they were discouraged from learning about plant reproduction. Carl Linnaeus' system of plant classification based on sexual characteristics drew attention to botanical licentiousness, and people feared that women would learn immoral lessons from nature's example. Women were often depicted as both innately emotional and incapable of objective reasoning, or as natural mothers reproducing a natural, moral society. The eighteenth century was characterized by three divergent views towards women: that women were mentally and socially inferior to men, that they were equal but different, and that women were potentially equal in both mental ability and contribution to society. While individuals such as Jean-Jacques Rousseau believed women's roles were confined to motherhood and service to their male partners, the Enlightenment was a period in which women experienced expanded roles in the sciences. The rise of salon culture in Europe brought philosophers and their conversation to an intimate setting where men and women met to discuss contemporary political, social, and scientific topics. While Jean-Jacques Rousseau attacked women-dominated salons as producing 'effeminate men' that stifled serious discourse, salons were characterized in this era by the mixing of the sexes. Lady Mary Wortley Montagu defied convention by introducing smallpox inoculation through variolation to Western medicine after witnessing it during her travels in the Ottoman Empire. In 1718 Wortley Montague had her son inoculated and when in 1721 a smallpox epidemic struck England, she had her daughter inoculated. This was the first such operation done in Britain. She persuaded Caroline of Ansbach to test the treatment on prisoners. Princess Caroline subsequently inoculated her two daughters in 1722. Under a pseudonym, Wortley Montague published an article describing and advocating in favor of inoculation in September 1722. After publicly defending forty nine theses in the Palazzo Pubblico, Laura Bassi was awarded a doctorate of philosophy in 1732 at the University of Bologna. Thus, Bassi became the second woman in the world to earn a philosophy doctorate after Elena Cornaro Piscopia in 1678, 54 years prior. She subsequently defended twelve additional theses at the Archiginnasio, the main building of the University of Bologna which allowed her to petition for a teaching position at the university. In 1732 the university granted Bassi's professorship in philosophy, making her a member of the Academy of the Sciences and the first woman to earn a professorship in physics at a university in Europe But the university held the value that women were to lead a private life and from 1746 to 1777 she gave only one formal dissertation per year ranging in topic from the problem of gravity to electricity. Because she could not lecture publicly at the university regularly, she began conducting private lessons and experiments from home in the year of 1749. However, due to her increase in responsibilities and public appearances on behalf of the university, Bassi was able to petition for regular pay increases, which in turn was used to pay for her advanced equipment. Bassi earned the highest salary paid by the University of Bologna of 1200 lire. In 1776, at the age of 65, she was appointed to the chair in experimental physics by the Bologna Institute of Sciences with her husband as a teaching assistant. According to Britannica, Maria Gaetana Agnesi is "considered to be the first woman in the Western world to have achieved a reputation in mathematics." She is credited as the first woman to write a mathematics handbook, the Instituzioni analitiche ad uso della gioventù italiana, (Analytical Institutions for the Use of Italian Youth). Published in 1748 it "was regarded as the best introduction extant to the works of Euler." The goal of this work was, according to Agnesi herself, to give a systematic illustration of the different results and theorems of infinitesimal calculus. In 1750 she became the second woman to be granted a professorship at a European university. Also appointed to the University of Bologna she never taught there. The German Dorothea Erxleben was instructed in medicine by her father from an early age and Bassi's university professorship inspired Erxleben to fight for her right to practise medicine. In 1742 she published a tract arguing that women should be allowed to attend university. After being admitted to study by a dispensation of Frederick the Great, Erxleben received her M.D. from the University of Halle in 1754. She went on to analyse the obstacles preventing women from studying, among them housekeeping and children. She became the first female medical doctor in Germany.