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"Whenever"
"Sufficient"
"Anytime"
"Sufficient"
"All"
"Sufficient"
"Everytime"
"Sufficient"
"In order to"
"Sufficient"
"People who"
"Sufficient"
"Each"
"Sufficient"
"Must"
"Necessary"
"Necessary"
"Necessary"
"Required"
"Necessary"
"Only (if)"
"Necessary"
"Depends"
"Necessary"
"Need (to)"
"Necessary"
"Have to"
"Necessary"
"Essential"
"Necessary"
"Precondition"
"Necessary"
"How to find contrapositives"
"Flip & Negate"
"Is"
"Sufficient"
"If and Only If"
"Double Sided Arrow"
"If But Only If"
"Synonym of If and Only If"
"All and Only"
"Synonym of If and Only If"
"But Not Otherwise"
"Synonym of If and Only If"
"When and Only When"
"Synonym of If and Only If"
"Either Or"
"Negate one half of the statement and put it in the sufficient condition. Place the other half of the statement in the necessary condition."
"Either I will stare into the distance or I will make progress."
~Stare –> Progress, ~Progress –> Stare
No, None, Nobody, Never
Place one half of the statement in the sufficient condition. Negate the other half of the statement and put it in the necessary condition.
"None of the pocket squares will surrender."
"pocket square —> ~surrender; surrender —> ~pocket square"
"Unless"
"Place the target of the unless half in the necessary condition. Place the other half of the statement in the sufficient condition & negate it. You end up with: ~[THE WAY THINGS ALWAYS ARE] —> EXCEPTION"
"Purple is hateful unless it’s sleeping."
~PH—>S"
"Except"
"Synonym of Unless"
"Until"
"Synonym of Unless"
"Without"
"Synonym of Unless"
"Some"
"The target of the some half goes in the sufficient condition. Double facing arrow."
"Some water bottles are hilariously overpriced."
WB <SOME> Hilariously Overpriced
"Contrapositives to Some?"
"NO CONTRAPOSITIVES."
"Few"
"Synonym of Some"
"Many"
"Synonym of Some"
"At Least One"
"Synonym of Some"
"Several"
"Synonym of Some"
"Not All"
"Not All is just Fancy Some. 1. Take the Target of the Not All and keep it in the sufficient condition. 2. Negate the other half and put it in the necessary condition."
"Most"
"The target of the most goes in the sufficient condition. Single facing arrow to the necessary condition."
"Most otters are burglars."
"Otters –m–> Burglars"
"Usually"
"Most"
"Probably"
"Most"
"Mostly"
"Most"
"More often than not"
"Most"
"Implication of Most"
You can read Most backwards as Some, just switch the places of the sufficient and necessary and the arrows themselves.
A <–s–> B –> C
Valid Inference: A <–s–> C
"A –m–> B –> C"
"Valid Inference: A –m–> C"
"A –m–>B; A –m–>C"
"Valid Inference: B –s–> C"