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The If Formula
The part of the statement that is introduced by If constitutes the sufficient condition.
*When is the temporal version of if
*where is the spatial version of if
Ex. If the lake freezes
The Only If Formula
The part of the statement that is introduced by Only If constitutes the necessary condition.
*Only when is the temporal version of only if
*only where is the spacial version of only if
Ex. Only if you are physically fit can you become a firefighter
BF--> PF
The Only formula
The Only always introduces the a sufficient condition
Ex: The only fruits are apples
F--> A
The All Formula
The part of the statement that is introduced by All constitutes the sufficient condition. The All Formula always applies to statements that being with All.
*The all formula applies to statements that begin with Each
The No Formula
The statement that is introduced by no constitutes the sufficient condition. The negation of the other part of the statement constitutes the necessary condition. The No Formula always applies to statements that begin with no.
*None applies to the No Formula
No X's are Y's = All X's are not Y's
Ex. No reptiles are warm blooded
R-->WB/
The Unless Formula
The part of the statement that is introduced by unless constitutes the necessary condition. The negation of the other part constitutes the sufficient condition.
****Unless the ness
The Not Both Formula
One of the variables (it does not matter which one) constitutes the sufficient condition. The negation of the other variable constitutes the necessary condition.
Ex. Julian cannot be in both London and Paris at the same time
L--> P/
***Remember it is possible for Julian to not be in London or Paris
The Either/ Or Formula
The negation of one of the variables (it doesn't matter which one) constitutes the sufficient condition. The other variable constitutes the necessary condition.
Ex. Either Burgess or Ellis will join the chess club.
E/-->Burgess
***Remember it is possible for Both Burgess and Ellis to join the chess club.
If and Only If
A