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Does this phrase introduce the sufficient or necessary condition? Ex. Tina will enter the pool, if and only if Mike enters.
T->M
or
M->T
Thanks!
PS, I'm thinking it is the latter of the two.
0
Does this phrase introduce the sufficient or necessary condition? Ex. Tina will enter the pool, if and only if Mike enters.
T->M
or
M->T
Thanks!
PS, I'm thinking it is the latter of the two.
4 comments
@teetime64890 said:
Does this phrase introduce the sufficient or necessary condition? Ex. Tina will enter the pool, if and only if Mike enters.
T->M
or
M->T
Thanks!
PS, I'm thinking it is the latter of the two.
As @elliottscott8814 noted it's both.
The if gives us
M-->T
If Mike enters then Tina will enter.
The only if gives us
T-->M
Only if Mike enters will Tina enter. So if Tina enters Mike must have entered.
And also as you can probably see, both
¬T --> ¬M
from M-->T
and
¬M -->¬T
from T-->M
Biconditionals are powerful things!
The conditional lessons are crucial. You'll mentally enjoy.
@elliottscott8814 said:
This lesson talks about "if and only if":
Advanced: Bi-Conditionals
https://classic.7sage.com/lesson/advanced-bi-conditionals/
It's not "T->M or M->T" but it is "T->M and M->T"
Thanks, I haven't gotten there in the CC.
This lesson talks about "if and only if":
Advanced: Bi-Conditionals
https://classic.7sage.com/lesson/advanced-bi-conditionals/
It's not "T->M or M->T" but it is "T->M and M->T"