V0ODO0CH1LD said:
If I simply don't know what happens to sodium halides and silver nitrate when mixed in water; should I just give up or is there a set of axioms that I could use to figure it out? Is problem solving in chemistry just using previous attained facts?
What that suggests is your problem which would not be your fault is that you have not spent much time in the laboratory or even seeing laboratory demonstrations. It is common to need to detect or assay chloride, and from having seen it enough times the high insolubility of silver halides is something I still easily remember, as I do the white colour of AgCl, and pale yellow colour of AgBr, and I think redissolving them in ammonia.
I think chemistry often struggled for its place at school and I wonder if it isn't now being pushed further aside, and only its indispensibility for biology keeps it there. But unlike other subjects which can still be learned later, what you don't see at school you probably never will.
It does not have the same almost deductive style in which physics can be put, but it is a science nevertheless, but has more rationale than the "stamp collecting" dismissals and you need to seek all the rationalisations and hopefully will find a strange horrible fascination

in them; it also needs the laboratory though and you cannot do everything from a book as at a pinch you could physics.
Added: Also take every opportunity to
connect up things. This has just brought to mind the "silver mirror test" for aldehydes. It consists of reduction of Ag
+ to Ag. Or rather reduction of the ammonia complex, for it is done in the presence of ammonia. And why - why not use silver nitrate which is perfectly soluble? I either did not remember, or never knew or questioned. But here is the explanation:
The half-equations indicate that ammonia forms a complex with the silver ion, which is more difficult to reduce than the silver ion. This is because silver ions form more stable complexes with NH3 than with water.
"If silver nitrate is used without ammonia, the silver ion is reduced so quickly that colloidal silver metal would appear. The solution would become a black, cloudy liquid." http://www.rsc.org/Education/EiC/issues/2007Jan/ExhibitionChemistry.asp