I'm really confused as to what you are trying to say, so I'll resort to rambling on what I said, hoping it will bring the discussion forward.What about the present knowledge of today as being prerequisite to reason?Must we first condition ourselves with the knowledge of the natural sciences to apply reason as the backbone for in order to make sense?
It is not induction as how to define and make sense by observing the world but it is what our knowledge that precedes it.If i was to take your statements into consequence,then the activity of science itself will never grow and change because it is true that in the past (say,an 1st century biologist for example) even some mistakes was made because the knowledge was not fully there yet(discovery of germs for example).
I thought we were talking about something else.![]()
My respondance was of your proposition saying:"It is also possible that something have a cause while others are completely random,"which in fact does not rule other possiblities that 'others' can have there own set of cause and effect.If is possible that 'others' are absolutely random then the explanation on what causes it to be random is either left unsaid and not explained correctly or the reason of explaining why is it so,is wrong.



In other words it may be prudent to disregard this post and rephrase your original points.
Logic is a set of deductive statements that is general enough to be applied to almost anything.
For example logic states that "if q is a necessary condition for p, then p is a sufficient condition for q"
This can be applied to science to say:
if Organic life requires water
then where life exists water exists.
But the premise that life exists cannot be deduced logically -- it must come from observation which is ultimately based on induction.
Science can grow. Science just can never be 100% certain.
Radioactive decay was an example of something that is random and without cause. There are better examples, where it is easier to prove that there are no hidden variables, but regardless the conclusion that radioactive decay is random is pretty reasonable.
Causing random behavior, is a contradiction of terms most of the time, at least as far as physical causality. But "cause" can mean several different things.