Born in Zemun, Yugoslavia, Bošković studied philosophy in Belgrade between 1982 and 1990.
During his studies, Bošković was mostly interested in the work of Ernst Cassirer (1874–1945), especially in his concept of myth as a symbolic form, but at this time he also "discovered" Paul Feyerabend (1924–1994), who turned out to be a lasting influence.
Aleksandar spent some years in the so-called "pro-democracy" journalism in Yugoslavia (1983–1990), and briefly worked as foreign politics editor and member of the Editorial Board of the Belgrade weekly magazine Student (1984/1985).
In this period (1984-1990), he contributed to almost all of the major (mostly Belgrade-based) Yugoslav magazines.
Aleksandar's journalistic texts and interviews dealt with political issues (he interviewed some of the former Praxis School philosophers – including Gajo Petrović, Svetozar Stojanović, and Mihailo Marković), foreign affairs, but also with cultural issues, comics and science fiction.

His early scholarly publications were influenced by the interest in the study of myth and religion, especially through the perspectives offered by Joseph Campbell (1904–1987) and Mircea Eliade (1907–1986).
As a conclusion of the several decades of interest in the study of myth, he edited the Dictionary of Deities and Mythic Beings of the World (in Serbo-Croatian; co-edited with Milan Vukomanović and Zoran Jovanović), a single-volume reference work with 14 contributors, covering Non-classical Mythology.
Bošković contributed over 150 entries himself, including all on Australia, Mesoamerica, Africa, Celts, and some on Middle East and Mesopotamia (Baal, Gilgamesh, Ziusudra), and India (Ganesha, Parvati, Rudra, Shiva).

Some of his early texts focused on ancient Mesoamerican religions (especially Maya and Mexican/ Aztec).
In 1990, Bošković went to Tulane University in New Orleans to study anthropology with Munro S. Edmonson [1924–2002].
Fieldwork in Guatemala in 1991 was inspired by the interest in Classic Maya ceramics, but this interest gradually waned, mostly due to Bošković's dissatisfaction with the then-dominant "direct historical approach" in Mesoamerican studies and the tendency by some anthropologists to use material from looted sites.
However, he continued to occasionally review books on this topic, especially for the journal Anthropos.
 He kept in touch with several prominent Maya archaeologists, like Richard E. W. Adams (1931–2015), American archaeologist who taught at the University of Texas at San Antonio, who influenced Bošković with his general perspective and methodological rigor; and also with the leading French Mayanist at the time, Claude-François Baudez (1932–2013), from the CNRS (Centre national de la recherche scientifique).
The interest in Mesoamerica was revisited in a book published by Archaeopress in 2017, Mesoamerican Religions and Archaeology.
The book includes a number of review essays, including chapters on The Meaning of Maya Myths, Aztec Great Goddesses, and ways of interpreting the Codex Borbonicus (or Codex Cihuacoatl).

Bošković defended the M.A. thesis (supervised by Munro S. Edmonson), "William Robertson Smith and the Anthropological Study of Myth," at Tulane University in April 1993.
From New Orleans he went to do Ph.D. at the University of St Andrews in Scotland.
This move was motivated by the interest in contemporary anthropology, combined with the interpretive approach, to which he came through the influence of Clifford Geertz (1926–2006).
In St. Andrews, he was first supervised by Ladislav Holy (1933–1997).
Holy proved to be a major influence on Bošković's research with his version of methodological individualism.
Following Holy's illness, Bošković was supervised by Nigel J. Rapport, and defended his Ph.D. thesis (Constructing Gender in Contemporary Anthropology) on 1 November 1996.
The ethnographic part of the thesis focused on the feminist groups in Slovenia.
Methodologically, some of the conclusions were influenced by Ladislav Holy's critical interpretative approach, as well as by Marilyn Strathern's and Henrietta L. Moore's
Born in Zemun, Yugoslavia, Bošković studied philosophy in Belgrade between 1982 and 1990. During his studies, Bošković was mostly interested in the work of Ernst Cassirer (1874–1945), especially in his concept of myth as a symbolic form, but at this time he also "discovered" Paul Feyerabend (1924–1994), who turned out to be a lasting influence. Aleksandar spent some years in the so-called "pro-democracy" journalism in Yugoslavia (1983–1990), and briefly worked as foreign politics editor and member of the Editorial Board of the Belgrade weekly magazine Student (1984/1985). In this period (1984-1990), he contributed to almost all of the major (mostly Belgrade-based) Yugoslav magazines. Aleksandar's journalistic texts and interviews dealt with political issues (he interviewed some of the former Praxis School philosophers – including Gajo Petrović, Svetozar Stojanović, and Mihailo Marković), foreign affairs, but also with cultural issues, comics and science fiction.
His early scholarly publications were influenced by the interest in the study of myth and religion, especially through the perspectives offered by Joseph Campbell (1904–1987) and Mircea Eliade (1907–1986). As a conclusion of the several decades of interest in the study of myth, he edited the Dictionary of Deities and Mythic Beings of the World (in Serbo-Croatian; co-edited with Milan Vukomanović and Zoran Jovanović), a single-volume reference work with 14 contributors, covering Non-classical Mythology. Bošković contributed over 150 entries himself, including all on Australia, Mesoamerica, Africa, Celts, and some on Middle East and Mesopotamia (Baal, Gilgamesh, Ziusudra), and India (Ganesha, Parvati, Rudra, Shiva).
Some of his early texts focused on ancient Mesoamerican religions (especially Maya and Mexican/ Aztec). In 1990, Bošković went to Tulane University in New Orleans to study anthropology with Munro S. Edmonson [1924–2002]. Fieldwork in Guatemala in 1991 was inspired by the interest in Classic Maya ceramics, but this interest gradually waned, mostly due to Bošković's dissatisfaction with the then-dominant "direct historical approach" in Mesoamerican studies and the tendency by some anthropologists to use material from looted sites. However, he continued to occasionally review books on this topic, especially for the journal Anthropos.  He kept in touch with several prominent Maya archaeologists, like Richard E. W. Adams (1931–2015), American archaeologist who taught at the University of Texas at San Antonio, who influenced Bošković with his general perspective and methodological rigor; and also with the leading French Mayanist at the time, Claude-François Baudez (1932–2013), from the CNRS (Centre national de la recherche scientifique). The interest in Mesoamerica was revisited in a book published by Archaeopress in 2017, Mesoamerican Religions and Archaeology. The book includes a number of review essays, including chapters on The Meaning of Maya Myths, Aztec Great Goddesses, and ways of interpreting the Codex Borbonicus (or Codex Cihuacoatl).
Bošković defended the M.A. thesis (supervised by Munro S. Edmonson), "William Robertson Smith and the Anthropological Study of Myth," at Tulane University in April 1993. From New Orleans he went to do Ph.D. at the University of St Andrews in Scotland. This move was motivated by the interest in contemporary anthropology, combined with the interpretive approach, to which he came through the influence of Clifford Geertz (1926–2006). In St. Andrews, he was first supervised by Ladislav Holy (1933–1997). Holy proved to be a major influence on Bošković's research with his version of methodological individualism. Following Holy's illness, Bošković was supervised by Nigel J. Rapport, and defended his Ph.D. thesis (Constructing Gender in Contemporary Anthropology) on 1 November 1996. The ethnographic part of the thesis focused on the feminist groups in Slovenia. Methodologically, some of the conclusions were influenced by Ladislav Holy's critical interpretative approach, as well as by Marilyn Strathern's and Henrietta L. Moore's
Aleksandar Bošković