a posteriori involving reasoning from facts or particulars to general principles or from effects to causes; "a posteriori demonstration"
inductive inducing or influencing; leading on; "inductive to the sin of Eve"- John Milton
logical capable of or reflecting the capability for correct and valid reasoning; "a logical mind"
logic reasoned and reasonable judgment; "it made a certain kind of logic"
synthetical -
involving or of the nature of synthesis (combining separate elements to form a coherent whole) as opposed to analysis; "limnology is essentially a synthetic science composed of elements...that extend well beyond the limits of biology"- P.S.Welch