5036 Shares

Topic: **R case statement****Question:**
how can I go from the statement
"It is not the case that it is raining and it is cold outside."
to:
"If it is raining then I will not wear a jacket" ??
This doesnt seem to make any sense to me pls help im so confused
I mean to go from the first to:
"If it is raining then it is not cold outside."
sorry

June 20, 2019 / By Shea

"It is not the case that it is raining and it is cold outside." Let R = "It is raining." Let C = "It is cold outside." Therefore, the above sentence would be, "It is not the case that (R and C)" ---------------------------- Now, using the same symbols as above, let's translate "If it is raining then it is not cold outside." If R then not C. These are logically equivalent. Here is a proof: 1. ~(R and C) (Original premise) _________________ 2. ~R or ~C (De Morgan's Law) 3. If R then ~C (Material Implication) http://en.wikipedia.org/wiki/Material_im... http://en.wikipedia.org/wiki/De_Morgan's... --------- Now to explain how this makes sense from an informal perspective. It is not both raining and cold outside at the same time. This must mean that IF it IS raining, then it must not be cold outside, because they can't be true at the same time. It also entails the contrapositive (modus tollens) of the conditional. If it is cold outside, then it is not raining. This is exactly what the original statement also says. It can't be both raining and cold outside at once. Let me know if you have any more questions in additional details. Alternatively, you can email me at: [email protected] Have a great day. ^^

👍 180 | 👎 6

Did you like the answer? We found more questions related to the topic: **R case statement**

And what will YOU be doing while we are doing your homework? Something more entertaining, I'm sure.

HAHAHAHHAHAHAH youuu i have no idea!! i did the wrong homework last night!! and you didn't do it!! but i have no clue i'm failing that class!! yayy we should have a bad at english party! =]

We've got two premises here: A: It is raining B: It is cold outside Statement one can mean two things: either it means that right now, i's not raining and it's not cold outside (it's not the case that A and B are true) In this case, it would be a statement: Both A and B are not true. However, it can also mean that it's not true that A and B can be true at the same time: it's not the case that it's raining AND it's cold outside. In this case, it would be: A and B cannot be true. Either A is true or B is. Statement two is: If A then not B (if A is true, B is not true) Statement two is a logical conclusion based on the second version of statement one. Since we observe that A and B cannot be true at the same time (statement), we can conclude that if A is true, B is untrue (conclusion).

👍 70 | 👎 -1

Unfortunately, the poor archbishop, as is usual with some of these types, didn't think his premise through to its logical conclusion before he popped off to the media. But, coming from a tradition that produced a bishop who wrote a book titled "How to be a Christian Without Believing in Christ", are you really surprised?

No, that is just his religious bias and doesn't mean squat really. All of the homosexual couples that I know from both genders always make sure they have family or friends of the opposite gender for their children to be around and whom they can go to when needed. There are no studies that prove that alternative families are harmful to the children in them.

If you have your own answer to the question r case statement, then you can write your own version, using the form below for an extended answer.