Support A movie studio's script readers discard all proposed scripts that are not submitted by agents, and Support they discard all scripts that are incorrectly formatted. ββ β ββββββ ββββ ββ βββββββββ ββ ββ βββββ βββ βββββββββ βββββββββ ββββ βββ ββ βββββββββ ββ βββ ββββββββ ββββββ ββββββββ
If thinking about this question in English is easier for you than using formal logic, you need more practice gaining fluency in formal logic. Think of English and formal logic as two closely-related tools, like a hand screwdriver and a power screwdriver. While itβs true that any job you can complete with one you could also complete with the other, they each have niche uses in which they excel. If you find yourself tackling a line of 100 wood screws with a hand screwdriver, you need to get better with the power screwdriver.
This argument denies the sufficient condition. Behold:
Premise: If a script isnβt submitted by an agent, or if it isnβt formatted properly, the studio will discard it.
________
Conclusion: If a script is submitted by an agent and it is formatted properly, the studio wonβt discard it.
Recognizing the broad-strokes common flaw β confusing sufficiency for necessity β is quite doable without a diagram. But the additional layers of complexity β namely the two independently sufficient conditions and the this and that conclusion β give us reason to diagram the argument anyway. A little investment up front saves a lot of time evaluating the answers.
Letβs start with premises 1 and 2:
Premise 1 : /Agent β Discard
Premise 2 : /Formatted β Discard
These each set up a condition that is sufficient by itself to make the studio discard a script. That is, if a script doesnβt come from an agent, or if it isnβt formatted correctly, either of those is enough to make the studio discard it. So itβs useful to combine them like so:
Premise 1+2: /Agent or /Formatted β Discard
Now seeing the conclusion as the inverse (an upside down version) of the combined premises is clear:
Premise 1+2: /Agent or /Formatted β Discard
________
Conclusion: Agent and Formatted β /Discard
See? Everythingβs just negated across the board (including the or, which flips to and).
Analysis by MichaelWright
Which one of the following ββββββββ β ββββββ βββββββ ββ βββββββββ ββββ ββββ βββββββ βββββββββ ββββ ββ βββ ββββββββ ββββββ
To be accepted, βββββββ ββ βββ βββββ βββββββ ββββ ββ ββββββββββ ββ βββ ββββββββ βββ βββββββββββ ββ β βββββββββ βββββ βββββ βββββ ββ βββ βββ βββββββββ βββββ ββ βββββ ββββ ββ βββββββββββ ββ β βββββββββ βββββ ββββ βββ ββββββββββ βββββ ββ ββββ βββ ββ βββββββββ
If your kitchen ββ ββββ βββββββββ βββ βββ βββ β ββββ βββββ βββ βββββ βββ βββββββ ββββ ββ ββββββββββ βββ ββββββ βββ ββββββββ ββββ ββββ βββ βββ ββ βββ ββββββ ββ βββ βββββββ ββββ βββ ββ ββββ ββββββββββ
If Bob starts ββββββββββ ββββββ ββ ββββ βββββββ βββ βββββββ ββββββ βββ βββββββ βββββ ββββ ββββ βββββββ ββ ββ βββββ ββββββββ ββ ββ ββ βββββββ ββ ββββββββ βββ βββββββββ ββ ββββββ βββ βββββββ βββββ ββ βββ βββββ ββ ββββββββ
The police are βββββββ ββ ββββββ βββ ββββββ βββ ββββ ββββ βββ ββββ β βββββββ βββββββ ββββ βββ ββββ βββββββ ββ ββββββ βββ ββββββ βββ βββββ βββββββ ββββββ βββ ββββββββ βββββ βββ ββββββ βββ βββββ ββ ββββββ ββββββ ββββ βββ βββ βββββββ ββββββ βββ ββββββββ
Most dogs that ββββ ββββββββ βββββββββ βββββββ βββββββ βββββββββ ββ βββββ βββββββββ βββ ββββ ββββ βββ ββββ ββ βββββββ ββββββββ βββββββ βββββ βββ βββ ββββ βββ ββββββββ βββββββββ βββββββ βββ ββββββββ ββββββββ ββββββ ββββ ββ ββββ ββ βββββββ βββββββββ ββ βββββ βββββββββ