Question

what are the: converse, contrapositive, and inverse of:

If it snows tonight, then i will stay at home.

Answer 1

If I stay home , then it snows tonight

If I don't stay home, then it does not snow tonight

If it does not snow , I will not stay at home

Answer 2

contrapositive: if i do not stay home, then it did not snow

Answer 3

so if i see this right its:

p -> q ; converse is q -> p

p -> q ; contrapositive is -q -> -p

p -> q ; inverse is -p -> -q

Answer 4

ya we had this last year in grade 12 a part of boolean algebra and logic gates..

Answer 5

I had it about 12 years ago in finite math, but its part of the discrete math course as well :)

Answer 6

ya but what are its applications by the way?

Answer 7

hey did you learn K-Map, or Mcclusky method?

Answer 8

the applications of logic? youd have to ask plato and socrates lol

Answer 9

lol no in maths..?? or thats it just for the sake of learning?

Answer 10

i think logic is the basis for mathematical statements. It helps to form a structure upon which to build a sensible structure with so that we can communicate in a more accurater way :)

Answer 11

how annoyed was i after dropping logic in school that all "modus ponens" meant was

"if this is true, then that is. this is true, therefore that is true" like someone had to give something so obvious an latin name!

Answer 12

i forgot the latin we learned in macroeconomics class; means: all other things being the same ...

Answer 13

@amistre you are of course right, but i think "logic" is really something innate in the brain and can't really be taught. for example all you have to do is "think" and you will see that a statement is the same as its contrapositive.

Answer 14

if that does not make sense just by thinking, no truth table will make you understand it. it is in the brain, not in the t's and f's

Answer 15

Ceteris paribus=all things being equal...stupid economics 8(