Final answer:
The new system of thought likely refers to Communism, an ideology advocating for a classless society and collective ownership of production, historically implemented in countries like the Soviet Union and China.
Step-by-step explanation:
The name of the animals' new system of thought in the context provided is not explicitly mentioned; however, if this question is related to allegorical narratives such as George Orwell's Animal Farm, then the new system of thought could be analogous to Communism. In the broader context of history and political science, Communism is an ideology based on the works of Karl Marx and Friedrich Engels. It advocates for a classless society where the means of production are owned collectively, and the goods and labor are distributed according to need. This philosophy was realized in countries like the former Soviet Union and the People's Republic of China, where it was fundamentally about establishing a society that serves the proletariat (working class) rather than the bourgeoisie (middle class).
Furthermore, in the study of Marxist-Leninism, a particular brand of Communism, we see the incorporation of Lenin's contributions which emphasized the role of a vanguard party and centralized planning in the transition to socialism. Due to historical implementations, particularly in the 20th century, Communism is often associated with planned economies and reduced personal liberties, contrasting sharply with capitalist economies.