input: Throughout her illnesses, she continued her education. Her mother's obsession with rooting out any of the insanity of which she accused Byron was one of the reasons that Ada was taught mathematics from an early age. She was privately schooled in mathematics and science by William Frend, William King, and Mary Somerville, the noted researcher and scientific author of the 19th century. One of her later tutors was the mathematician and logician Augustus De Morgan. From 1832, when she was seventeen, her mathematical abilities began to emerge, and her interest in mathematics dominated the majority of her adult life. In a letter to Lady Byron, De Morgan suggested that her daughter's skill in mathematics could lead her to become "an original mathematical investigator, perhaps of first-rate eminence". Lovelace often questioned basic assumptions by integrating poetry and science. While studying differential calculus, she wrote to De Morgan: I may remark that the curious transformations many formulae can undergo, the unsuspected and to a beginner apparently impossible identity of forms exceedingly dissimilar at first sight, is I think one of the chief difficulties in the early part of mathematical studies. I am often reminded of certain sprites and fairies one reads of, who are at one's elbows in one shape now, and the next minute in a form most dissimilar Lovelace believed that intuition and imagination were critical to effectively applying mathematical and scientific concepts. She valued metaphysics as much as mathematics, viewing both as tools for exploring "the unseen worlds around us".

Answer this question "Is she dead or alive?"
output: From 1832, when she was seventeen,

input: The name of Aesop is as widely known as any that has come down from Graeco-Roman antiquity [yet] it is far from certain whether a historical Aesop ever existed ... in the latter part of the fifth century something like a coherent Aesop legend appears, and Samos seems to be its home. The earliest Greek sources, including Aristotle, indicate that Aesop was born around 620 BCE in Thrace at a site on the Black Sea coast which would later become the city Mesembria. A number of later writers from the Roman imperial period (including Phaedrus, who adapted the fables into Latin) say that he was born in Phrygia. The 3rd-century poet Callimachus called him "Aesop of Sardis," and the later writer Maximus of Tyre called him "the sage of Lydia." From Aristotle and Herodotus we learn that Aesop was a slave in Samos and that his masters were first a man named Xanthus and then a man named Iadmon; that he must eventually have been freed, because he argued as an advocate for a wealthy Samian; and that he met his end in the city of Delphi. Plutarch tells us that Aesop had come to Delphi on a diplomatic mission from King Croesus of Lydia, that he insulted the Delphians, was sentenced to death on a trumped-up charge of temple theft, and was thrown from a cliff (after which the Delphians suffered pestilence and famine). Before this fatal episode, Aesop met with Periander of Corinth, where Plutarch has him dining with the Seven Sages of Greece, sitting beside his friend Solon, whom he had met in Sardis. (Leslie Kurke suggests that Aesop himself "was a popular contender for inclusion" in the list of Seven Sages.) Problems of chronological reconciliation dating the death of Aesop and the reign of Croesus led the Aesop scholar (and compiler of the Perry Index) Ben Edwin Perry in 1965 to conclude that "everything in the ancient testimony about Aesop that pertains to his associations with either Croesus or with any of the so-called Seven Wise Men of Greece must be reckoned as literary fiction," and Perry likewise dismissed Aesop's death in Delphi as legendary; but subsequent research has established that a possible diplomatic mission for Croesus and a visit to Periander "are consistent with the year of Aesop's death." Still problematic is the story by Phaedrus which has Aesop in Athens, telling the fable of the frogs who asked for a king, during the reign of Peisistratos, which occurred decades after the presumed date of Aesop's death.

Answer this question "How did Aesop become a diplomat?"
output:

input: Ali said that he first heard of the Nation of Islam when he was fighting in the Golden Gloves tournament in Chicago in 1959, and attended his first Nation of Islam meeting in 1961. He continued to attend meetings, although keeping his involvement hidden from the public. In 1962, Clay met Malcolm X, who soon became his spiritual and political mentor. By the time of the first Liston fight, Nation of Islam members, including Malcolm X, were visible in his entourage. This led to a story in The Miami Herald just before the fight disclosing that Clay had joined the Nation of Islam, which nearly caused the bout to be canceled. In fact, Clay was initially refused entry to the Nation of Islam (often called the Black Muslims at the time) due to his boxing career. However, after he won the championship from Liston in 1964, the Nation of Islam was more receptive and agreed to publicize his membership. Shortly afterwards on March 6, Elijah Muhammad gave a radio address that Clay would be renamed Muhammad (one who is worthy of praise) Ali (most high). Around that time Ali moved to the south side of Chicago and lived in a series of houses, always near the Nation of Islam's Mosque Maryam or Elijah Muhammad's residence. He stayed in Chicago for about 12 years. Only a few journalists (most notably Howard Cosell) accepted the new name at that time. Ali later announced: "Cassius Clay is my slave name." Not afraid to antagonize the white establishment, Ali stated, "I am America. I am the part you won't recognize. But get used to me. Black, confident, cocky; my name, not yours; my religion, not yours; my goals, my own; get used to me." Ali's friendship with Malcolm X ended as Malcolm split with the Nation of Islam a couple of weeks after Ali joined, and Ali remained with the Nation of Islam. Ali later said that turning his back on Malcolm was one of the mistakes he regretted most in his life. Aligning himself with the Nation of Islam, its leader Elijah Muhammad, and a narrative that labeled the white race as the perpetrator of genocide against African Americans made Ali a target of public condemnation. The Nation of Islam was widely viewed by whites and some African Americans as a black separatist "hate religion" with a propensity toward violence; Ali had few qualms about using his influential voice to speak Nation of Islam doctrine. In a press conference articulating his opposition to the Vietnam War, Ali stated, "My enemy is the white people, not Viet Cong or Chinese or Japanese." In relation to integration, he said: "We who follow the teachings of Elijah Muhammad don't want to be forced to integrate. Integration is wrong. We don't want to live with the white man; that's all". Writer Jerry Izenberg once noted that, "the Nation became Ali's family and Elijah Muhammad became his father. But there is an irony to the fact that while the Nation branded white people as devils, Ali had more white colleagues than most African American people did at that time in America, and continued to have them throughout his career."

Answer this question "Why did he hide his involvement?"
output:
In fact, Clay was initially refused entry to the Nation of Islam (often called the Black Muslims at the time) due to his boxing career.