Hi everyone, I’m working through the Foundations module and I’m hitting a wall with chaining conditionals. I understand how to diagram individual sentences (using the G1, G2, G3 rules), but I’m confused on the "glue" that connects them.
Specifically, I’m struggling with:
How do I know which brick goes "first" in the chain if the stimulus doesn't present them in order?
If I have one brick that is positive (A -> B) and another that is negative (/A -> C), I know I need to flip one to make them match, but I’m struggling to see why or how to pick which one to flip.
For example, with the Wizard/9th-level spell drill, I could diagram the parts, but I couldn't figure out how to bridge the "Not 9th-level" sentence into the main chain.
Does anyone have a specific "checklist" or a different technique they use to decide when to take a contrapositive to force a chain to connect? Below is how I worked through the question if it helps with my question!
Wizards that cast ninth-level spells command a great deal of magical energy. Only wizards who possess extensive training in the arcane can control such magical energy. Spellcasters who can’t cast ninth-level spells still have more to learn.
heres my work: I don’t see an indicator word here, im tempted to put great deal of energy on the left but im gonna take the wizards part to be ALL and use that as a sufficient for G1 SO: FIRST BRICK: W Cast 9 level spells -> great deal of energy
Only is g2 necessary so SECOND BRICK: Can control such energy -> Wizards who posses extensive training in arcane.
It says that if they cant cast ninth level spells so that cant makes it a / so
Conclusion: /Ninth level spells - > Still have more to learn
So all together: W Cast 9 level spells -> great deal of energy, Can control such energy -> Wizards who posses extensive training in arcane. /Ninth level spells - > Still have more to learn
Chained its: W Cast 9 level spells -> great deal of energy -> wizards who possess extensive training -> /still have more to learn.
I know its wrong but im so confused...
@JosephCronin Thank you for the advice I really appreciate it and it definitely was helpful to see how you worked through it. My brain is wired to ask the why a lot and I guess im a bit confused as to why we would negate /9th lvl -> more to learn to /more to learn -> 9th level? After thats negated I assume we do the contrapositive of G1 which is to flip the two bricks and negate correct? Apologies if its confusing, Im getting lost in the sauce.