Quasi-empirical methods are  applied in science and in mathematics . The term "empirical methods" refers to experiment, disclosure of apparatus for reproduction of experiments, and other ways in which science is validated by scientists. Empirical methods are studied extensively in the philosophy of science but cannot be used directly in fields whose hypotheses are not falsified by real experiment ( mathematics, theology, ideology). In these fields, the prefix 'quasi' came to denote methods that are "almost" or "socially approximate" an ideal of truly empirical methods. Post-20th-century philosophy of mathematics is mostly concerned with quasi-empirical methods especially as reflected in  actual mathematical practice of working mathematicians. See also quasi-empiricism in mathematics empirical methods philosophy of science philosophy of mathematics mathematical practice
Quasi-empirical methods are methods applied in science and mathematics to achieve epistemology similar to that of empiricism (thus quasi- + empirical) when experience cannot falsify the ideas involved. Empirical research relies on empirical evidence, and its empirical methods involve experimentation and disclosure of apparatus for reproducibility, by which scientific findings are validated by other scientists. Empirical methods are studied extensively in the philosophy of science , but they cannot be used directly in fields whose hypotheses cannot be falsified by real experiment ( for example, mathematics, philosophy, theology, and ideology). Because of such empirical limits in science, the scientific method must rely not only on empirical methods but sometimes also on quasi-empirical ones. The prefix quasi- came to denote methods that are "almost" or "socially approximate" an ideal of truly empirical methods. Post-20th-century philosophy of mathematics is mostly concerned with quasi-empirical mathematical methods, especially as reflected in the actual mathematical practice of working mathematicians. See also philosophy of science 
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methods
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in mathematics . The term "empirical methods" refers to experiment,
mathematics to achieve epistemology similar to that of empiricism (thus quasi- + empirical) when experience cannot falsify the ideas involved. Empirical research relies on empirical evidence, and its empirical methods involve experimentation and
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reproduction of experiments, and other ways in which science is validated by
reproducibility, by which scientific findings are validated by other
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but
, but they
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are not
cannot be
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mathematics, theology,
for example, mathematics, philosophy, theology, and
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In these fields, the prefix 'quasi'
Because of such empirical limits in science, the scientific method must rely not only on empirical methods but sometimes also on quasi-empirical ones. The prefix quasi-
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methods
mathematical methods,
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the
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quasi-empiricism in mathematics empirical methods
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philosophy of mathematics mathematical practice