Family and youth
Wiener was born in Columbia, Missouri, the first child of Leo Wiener and Bertha Kahn, Jewish immigrants from Lithuania and Germany, respectively. Through his father, he was related to Maimonides, the famous 12th century rabbi, philosopher and physician from al-Andalus, as well as to Akiva Eger, chief rabbi of Posen from 1815 to 1837.
He met his paternal grandfather—Solomon Wiener, whom he describes as a scholarly journalist incapable of keeping the family together—only once in New York. Despite this, he was impressed by his grandfather's efforts to replace Yiddish in his lived environment with German. Solomon was born in Krotoschin, but married his wife—who came from a family of Jewish tanners—before settling in Byelostok where Wiener's father was born in 1862. Wiener was told they had originally been minor nobles in Russia, such that when the Russian Tzar came to visit Byelostok it was his grandmother's house which was selected as a place of temporary residence.
His paternal grandmother's side of the family was very different to his grandfather's side, and Wiener suggests that his father developed "solid, business-like habits that gave my father a firm footing in life", which made him a better custodian of the family than his grandfather. Nonetheless, his father still displayed an idealist streak. By the age of thirteen and because of their family situation—and because according to Wiener there is a tendency within the Jewish community to give adolescent boys the responsibilities of men—his father Leo had begun to support his family as a private tutor. Due to the German bias of his grandfather, Wiener's father went to a Lutheran school and learnt several languages.
His father later left the Minsk Gymnasium for Warsaw in Poland, where Wiener claims his father developed good relations with his Polish schoolmates—so much so that his father became privy to the underground Polish resistance movement. His father became a contemporary of Zamenhof, the inventor of Esperanto, to which Wiener claims: "my father was one of the first to study the new artificial language". His father later went to the University of Warsaw to study medicine, although could not handle the profession so went to study at the Polytechnicum in Berlin to study engineering. Relatives in Berlin with connections to Mendelssohn bank tried to get his father to pursue a career in banking, but his father declined. Instead, his father had begun to develop a Tolstoyan ethic which was reinforced through his attendance of a humanitarian student meeting, which would eventually led to him emigrating to the United States, as well as Wiener's vegetarianism. Wiener, however, expressed resentment over his father's dogmatism over this later point during his childhood, which in his view led to emotional abuse from his father.
However, assuming for the sake of argument that all these events had occurred in their due sequence, I should still not have been brought up as a vegetarian, should not have lived in a house in which I was surrounded by horrible and hair raising vegetarian tracts concerning cruelty to animals, and should not have been subjected to the overwhelming precept and example of my father in such matters.
His father planned to set up a commune in Central America based on these ideas. However, his companion abandoned him, leaving him on a ship to Hartlepool. His father then went to Liverpool, Havana and New Orleans—picking up both on English and Spanish during his trip. Eventually, his father decided to teach languages and went into Philology. He later met Wiener's mother Bertha Kahn, the daughter of department store owner Henry Kahn, in St. Joseph, Missouri.
His maternal grandfather was a German Jewish immigrant from Rhineland. His wife, whose maiden name was Ellinger, had settled in the United States a few generations beforehand. He notes that his maternal grandmother's mother was not Jewish, and suggests that while women in that side of the family tended to marry inside the Jewish community, men from that side of the family tended to marry Gentiles. The family could also trace its roots to the American South. He notes that many men from this side of the family tended to leave some "career of impeccable propriety by suddenly leaving his family and taking to the great open spaces", with rumours that one family member ended up becoming a Western bandit and was shot trying to evade capture. In his autobiography, Wiener contrasted the melting pot culture that he was brought up in with the more socially homogeneous Old American culture that had been predominant before. He saw this culture as offering greater freedom and opportunity compared to the serfdom that was found for many in Eastern Europe.
He writes of his youth: "Child as I was, I absorbed a real understanding of many things, and my childish point of view is not totally devoid of significance". Leo had educated Norbert at home until 1903, employing teaching methods of his own invention, except for a brief interlude when Norbert was seven years of age. Earning his living teaching German and Slavic languages, Leo read widely and accumulated a personal library from which the young Norbert benefited greatly. Leo also had ample ability in mathematics and tutored his son in the subject until he left home. In his autobiography, Norbert described his father as calm and patient, unless he (Norbert) failed to give a correct answer, at which his father would lose his temper.
In "The Theory of Ignorance", a paper Wiener wrote at the age of 10, he disputed "man's presumption in declaring that his knowledge has no limits", arguing that all human knowledge "is based on an approximation", and acknowledging "the impossibility of being certain of anything."
Wiener graduated from Ayer High School in 1906 at age 11, at which point he entered Tufts College, being awarded a BA in mathematics in 1909 at the age of 14. He began graduate studies of zoology at Harvard, before transferring to Cornell in 1910 to study philosophy. He graduated in 1911 at 17 years of age.