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'''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. These are studied extensively in the [[philosophy of science]] but are not directly applicable to fields not invalidated 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]].
'''Quasi-empirical methods''' are [[scientific methods]] used to gain knowledge in situations where [[empirical evidence]] cannot be gathered through experimentation, or experience cannot [[falsifiability|falsify]] the ideas involved. Quasi-empirical methods aim to be as closely analogous to [[empirical methods]] as possible.<ref>{{cite book |last1=Lolli |first1=Gabriele |chapter=Experimental Methods in Proofs |title=Deduction, Computation, Experiment |date=2008 |pages=65–79 |doi=10.1007/978-88-470-0784-0_4|isbn=978-88-470-0783-3 }}</ref>


Empirical research relies on, and its empirical methods involve [[experiment]]ation and disclosure of apparatus for [[reproducibility]], by which scientific findings are [[verification and validation|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 limits, the scientific method must rely not only on empirical methods but sometimes also on quasi-empirical ones. The prefix ''[[wikt:quasi-#Prefix|quasi-]]'' came to denote methods that are "almost" or "socially approximate" an ideal of truly empirical methods.
It is unnecessary to find all counterexamples to a theory; all that is required to disprove a theory logically, is one counterexample. The converse does not prove a theory; [[Bayesian inference]] simply makes a theory more likely, by weight of evidence.


Quasi-empirical method usually refers to a means of choosing problems to focus on (or ignore), selecting prior work on which to build an argument or proof, notations for informal claims, peer review and acceptance, and incentives to discover, ignore, or correct errors. To disprove a theory logically, it is unnecessary to find all counterexamples to a theory; all that is required is one counterexample. The converse does not prove a theory; [[Bayesian inference]] simply makes a theory more likely, by weight of evidence. Since it is not possible to find all counter-examples to a theory, it is also possible to argue that no science is strictly empirical, but this is not the usual meaning of "quasi-empirical".
One can argue that no science is capable of finding all counter-examples to a theory, therefore, no science is strictly empirical, it's all quasi-empirical.
But usually, the term "quasi-empirical" refers to the means of choosing problems to focus on (or ignore), selecting prior work on which to build an argument or proof, notations for informal claims, peer review and acceptance, and incentives to discover, ignore, or correct errors. These are common to both [[science]] and [[mathematics]], and do not include experimental method.


==Examples==
[[Albert Einstein]]'s discovery of the [[theory of relativity|General Theory of relativity]] relied upon thought-experiments and mathematics, and empirical methods only became relevant when confirmation was looked for. Some empirical confirmation was found only some time after the general acceptance of the theory.
[[Albert Einstein]]'s discovery of the [[general relativity]] theory relied upon [[thought experiments]] and [[mathematics]]. Empirical methods only became relevant when confirmation was sought. Furthermore, some empirical confirmation was found only some time after the general acceptance of the theory.


Thought experiments are almost standard procedure in [[Philosophy]], where a conjecture is tested out in the imagination for its imagined effects on experience; where these are thought to be implausible, or unlikely to occur, or not actually occurring, then the conjecture is either rejected or amended. [[Logical positivism]] was a perhaps extreme version of this.
Thought experiments are almost standard procedure in [[philosophy]], where a conjecture is tested out in the imagination for possible effects on experience; when these are thought to be implausible, unlikely to occur, or not actually occurring, then the conjecture may be either rejected or amended. [[Logical positivism]] was a perhaps extreme version of this practice, though this claim is open to debate.


Post-20th-century [[philosophy of mathematics]] is mostly concerned with quasi-empirical methods especially as reflected in actual [[mathematical practice]] of working mathematicians.
[[Quasi-empiricism in mathematics]] is an important topic in post-20th-century [[philosophy of mathematics]], especially as reflected in the actual [[mathematical practice]] of working mathematicians.


==See also==
==References==
{{reflist}}


[[Category:Scientific method]]
* [[quasi-empiricism in mathematics]]
[[Category:Philosophy of science]]
* [[empirical methods]]
[[Category:Philosophy of mathematics]]
* [[philosophy of science]]
[[Category:Thought experiments]]
* [[philosophy of mathematics]]

* [[mathematical practice]]

{{science-philo-stub}}

Latest revision as of 10:11, 13 October 2024

Quasi-empirical methods are scientific methods used to gain knowledge in situations where empirical evidence cannot be gathered through experimentation, or experience cannot falsify the ideas involved. Quasi-empirical methods aim to be as closely analogous to empirical methods as possible.[1]

Empirical research relies on, 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 limits, 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.

Quasi-empirical method usually refers to a means of choosing problems to focus on (or ignore), selecting prior work on which to build an argument or proof, notations for informal claims, peer review and acceptance, and incentives to discover, ignore, or correct errors. To disprove a theory logically, it is unnecessary to find all counterexamples to a theory; all that is required is one counterexample. The converse does not prove a theory; Bayesian inference simply makes a theory more likely, by weight of evidence. Since it is not possible to find all counter-examples to a theory, it is also possible to argue that no science is strictly empirical, but this is not the usual meaning of "quasi-empirical".

Examples

[edit]

Albert Einstein's discovery of the general relativity theory relied upon thought experiments and mathematics. Empirical methods only became relevant when confirmation was sought. Furthermore, some empirical confirmation was found only some time after the general acceptance of the theory.

Thought experiments are almost standard procedure in philosophy, where a conjecture is tested out in the imagination for possible effects on experience; when these are thought to be implausible, unlikely to occur, or not actually occurring, then the conjecture may be either rejected or amended. Logical positivism was a perhaps extreme version of this practice, though this claim is open to debate.

Quasi-empiricism in mathematics is an important topic in post-20th-century philosophy of mathematics, especially as reflected in the actual mathematical practice of working mathematicians.

References

[edit]
  1. ^ Lolli, Gabriele (2008). "Experimental Methods in Proofs". Deduction, Computation, Experiment. pp. 65–79. doi:10.1007/978-88-470-0784-0_4. ISBN 978-88-470-0783-3.