Statistics, probability, and mathematics are all important in econometrics, which is a vital part of virtually any academic study in economics.
Behavioral economics involves psychology, and cutting-edge research involves neurology and Biology as well.
Environmental Economics involves environmental science, and other ancillary fields.
Computer Sciences are necessary for modeling complex economic situations.
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Economics, the study of how to locate resources, is related to the social sciences, natural sciences, and humanities. Economics is important in the study of political science, when studying the structure and functions of governments and how they relate to each other. Economics is related to history when studying imperialism, class conflicts, labor, and historic economies.
Economics is a social science. It could be organized under science, but we chose to group it with other social sciences instead of with physical sciences. Soon we may set up a Social Sciences or Humanities section.
Economics is strongly linked to finance, and makes use of mathematics and statistics, so I do not see how it can be isolated.
Economics has a hard time to justify being called a science. A science should have well understood laws, and be capable of explaining phenomena and of predicting outcomes. The latter two have a hard time in economics.
Economics is a collection of thoughts and principles that are derived from other sciences. Economics, sociology and politics are interrelated as these sciences make an impact on the lives of people and their society.