Advanced Logic

Question 1

Or vs. Not both

Answer 1

do not mean the same

Question 2

And/Or in a Sufficient condition

Answer 2

And (Sufficient) = not split

Or (Sufficient) = split

Question 3

And/Or Necessary condition

Answer 3

And (Necessary) = Split

Or (Necessary) = not Split

Question 4

DeMorgan’s Law

Answer 4

contrapositives: the negative sign applied to all elements including: and/or
And become Or
Or becomes And
= negate both elements

this only happens when negating

Question 5

Bi-Conditional

Answer 5

if and/but only if =
either or but not both = /A –> C //// C –> /A
but not otherwise
except

Question 6

2 types of biconditional

Answer 6

1. Always together, never apart =
   A –>B /A–>/B
2. Always apart, never together
   /A –> B /B–>A

Question 7

Embedded Logic

Answer 7

changing the first arrow to “and”

A–>(B–>C)
A and B –>C
MOVE THE SUFFICIENT OUT OF THE PARENTHESIS

Question 8

Or / Both

Answer 8

review truth tables

Question 9

OR

Answer 9

T T = T
T F= 
F T=
FF=
one or the other or both
negate sufficient

Question 10

Not Both

Answer 10

TT =
T F =
F T =
F F =

one or the other, not both
negate necessary

Question 11

at least

Answer 11

1 or more
2 or more
and so on

Question 12

if there are two negative conditionals, translate it

Answer 12

contrapositives of conditionals

Question 13

not all

Answer 13

some