Logic Reasoning 6 Word Scramble
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Term | Definition |
sufficient condition | an even or circumstance whose occurrence indicates that a necessary condition must also occur |
necessary condition | an event or circumstance whose occurrence is required in order for a sufficient condition to occur |
if there is a sufficient condition... | there has to be a necessary condition |
if there is a necessary condition... | doesn't mean anything |
logical feature #1 | 1) sufficient doesn't MAKE necessary occur |
logical feature #2 | either can occur first or can occur at same time |
logical feature #3 | relationship doesn't have to reflect reality |
Original to contra-positive, A -> B | not B -> not A |
Original to contra-positive, C -> not D | D -> not C |
contra-positive | reversed and negated, so valid |
if | sufficient indicator |
when | sufficient indicator |
whenever | sufficient indicator |
every | sufficient indicator |
all | sufficient indicator |
any | sufficient indicator |
people who | sufficient indicator |
in order to | sufficient indicator |
then | necessary indicator |
only | necessary indicator |
only if | necessary indicator |
must | necessary indicator |
required | necessary indicator |
unless | necessary indicator |
except | necessary indicator |
until | necessary indicator |
without | necessary indicator |
"unless, expect, until, without" | whatever is modified by "unless, expect, until, without" becomes necessary, remaining term is negated and sufficient |
"Unless they study, they won't get an A+." | sufficient = get A+ necessary = study |
"no, none" | modifies necessary condition |
"No robot can think." Actually means... | All robots cannot think. "If robot, then can't think." |
"only way" | only modifies way |
"The only way to achieve success is to work hard." | sufficient = achieve success necessary = work hard "To achieve success, the only way is to work hard." |
"either/or" | at least one of the two, possible both |
Multiple | contra-positive replaces "and" with "or" and vice versa |
"To graduate from college you must be both smart and resourceful." | sufficient = graduate necessary = smart AND resourceful contra- sufficient = not smart OR not resourceful contra-necessary = not graduate |
Double arrow, "if and only if" | each term is both sufficient and necessary for the other |
Double NOT arrow | two terms cannot occur together |
Created by:
mrshelley
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