what was proposed for this thought process from the second civilization mentioned?
They described the development of the cosmos, the Earth, living things, and human society through purely naturalistic mechanisms, without any reference to supernatural involvement.
History of evolutionary thought
Lucretius' poem "De rerum natura" provides the best surviving explanation of the ideas of the Greek Epicurean philosophers. It describes the development of the cosmos, the Earth, living things, and human society through purely naturalistic mechanisms, without any reference to supernatural involvement. 
who popularized the idea of evolution in the mid 1800s Charles Darwin and Alfred Russel Wallace. which ancient civilizations helped to shape this thought process? The ancient Greeks, Romans, Chinese, and in medieval Islamic science. what was proposed for this thought process from the first civilization mentioned above? They proposed that one type of animal, even humans, could descend from other types of animals.
wiki:14286797
History of evolutionary thought [SEP] Roman Empire
Lucretius' poem "De rerum natura" provides the best surviving explanation of the ideas of the Greek Epicurean philosophers. It describes the development of the cosmos, the Earth, living things, and human society through purely naturalistic mechanisms, without any reference to supernatural involvement. "De rerum natura" would influence the cosmological and evolutionary speculations of philosophers and scientists during and after the Renaissance. This view was in strong contrast with the views of Roman philosophers of the Stoic school such as Cicero, Seneca the Younger (c. 4 BC – AD 65), and Pliny the Elder (23—79 AD) who had a strongly teleological view of the natural world that influenced Christian theology.