The practice of infanticide has taken many forms over time. Child sacrifice to supernatural figures or forces, such as that believed to have been practiced in ancient Carthage, may be only the most notorious example in the ancient world. Anthropologist Laila Williamson notes that "Infanticide has been practiced on every continent and by people on every level of cultural complexity, from hunter gatherers to high civilizations, including our own ancestors. Rather than being an exception, then, it has been the rule."[6]:61
A frequent method of infanticide in ancient Europe and Asia was simply to abandon the infant, leaving it to die by exposure (i.e. hypothermia, hunger, thirst, or animal attack).[7][8]
In at least one island in Oceania, infanticide was carried out until the 20th century by suffocating the infant,[9] while in pre-Columbian Mesoamerica and in the Inca Empire it was carried out by sacrifice (see below).
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The historical Greeks considered the practice of adult and child sacrifice barbarous,[29] however, the exposure of newborns was widely practiced in ancient Greece, it was even advocated by Aristotle in the case of congenital deformity — "As to the exposure of children, let there be a law that no deformed child shall live.”[30] In Greece the decision to expose a child was typically the father's, although in Sparta the decision was made by a group of elders.[31] Exposure was the preferred method of disposal, as that act in itself was not considered to be murder; moreover, the exposed child technically had a chance of being rescued by the gods or any passersby.[32] /.../ Families did not always keep their new child. After a woman had a baby, she would show it to her husband. If the husband accepted it, it would live, but if he refused it, it would die. Babies would often be rejected if they were illegitimate, unhealthy or deformed, the wrong sex, or too great a burden on the family. These babies would not be directly killed, but put in a clay pot or jar and deserted outside the front door or on the roadway. In ancient Greek religion, this practice took the responsibility away from the parents because the child would die of natural causes, for example hunger, asphyxiation or exposure to the elements.
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https://en.wikipedia.org/wiki/Infanticide