Deducibility in Method Employment

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What does deducibility in the Third Law mean? Does it refer to the deducibility of Classic Logic, or to a logic accepted by the community at the time?

The current formulation of the Third Law requires that a method be deducible from at least a subset of accepted theories and employed methods. However, it remains open as to what deducibility here is to mean, as the notion of deducibility varies with reference to the logic assumed, as well as perhaps the definition of a Theory.

One approach is to assume that newly employed methods must be deducible in the rules of Classical Logic, but this runs the risk of historical anachronism. The immediate alternative would be to assume that methods must be deducible in the rules of the logic accepted by the community at the time, but this poses an issue for observational scientonomy, in that it allows potential 'hand-waving.' If the employment of a method would violate the Third Law, then it can be posited that the community in question merely accepted a different logic, especially without establishing indicators of the accepted logic.

Lastly, it was discussed whether the notion of deducibility is required in the Mechanism of Method Employment at all.

In the scientonomic context, this question was first formulated by Patrick Fraser and Calahan Janik-Jones in 2018. The question is currently accepted as a legitimate topic for discussion by Scientonomy community. At the moment, the question has no accepted answer in Scientonomy.

History

Acceptance Record

Here is the complete acceptance record of this question (it includes all the instances when the question was accepted as a legitimate topic for discussion by a community):
CommunityAccepted FromAcceptance IndicatorsStill AcceptedAccepted UntilRejection Indicators
Scientonomy1 March 2018It was acknowledged as an open question by the Scientonomy Seminar 2018.Yes

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Accepted Theories

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Suggested Modifications

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Current View

There is currently no accepted answer to this question.

Open Questions

The following related topic(s) currently lack an accepted answer:

  • Deriving Methods from an Empty Set: Does the possibility of a method being derived from an empty set pose a problem for the current formulation of the third law? Can we conceive of a situation in which a method is derived from an empty subset? The topic has no accepted answer in Scientonomy.

Related Topics

This topic is a sub-topic of Mechanism of Method Employment.

This topic is also related to the following topic(s):

Contributors

Calahan Janik-Jones (100.0%)