I am not sure what your definition of Bayesian reasoning is, but I personally think of:
Deduction as somewhat equivalent to mathematical logic (including probabilistic logic and other sub-types of logic).
Induction as somewhat equivalent to inferential statistics.
I am not sure where most people would place Bayes’ theorem itself, but Bayesian statistics is usually considered a subfield of (or rather an approach to) inferential statistics.
I am not sure what your definition of Bayesian reasoning is, but I personally think of:
Induction as somewhat equivalent to inferential statistics.
I am not sure where most people would place Bayes’ theorem itself, but Bayesian statistics is usually considered a subfield of (or rather an approach to) inferential statistics.