Monash Maths thread

[tigerlivie]

Thanks Phy124 you're a champ. I didn't know it only ran semester one so that's a relief! I'll definitely send Horsley an email. It's hard to know what lecturers are like until you meet them, but if you say he's then I'll trust you.

If you can switch your brain back to a year ago, I am a bit confused by the questions from 4.2:

Let p be the preposition "I carry an umbrella" and let q be the preposition "It is raining." Write the following prepositions in symbols, using p, q, and .

• I carry an umbrella, because it is raining.
• I carry an umbrella, hence it is raining.
• It is raining, hence I carry an umbrella.
• I don't carry an umbrella unless it is raining.
• It is raining, because I carry an umbrella.
• It is raining, because I don't carry an umbrella.
• It rains only if I don't carry an umbrella.
• I carry an umbrella only if it rains.

I have given it a go, but because you're limited in the symbols you can use (I assume?) a lot of them are the same. Am I missing something?

Here are my attempts:

1.	I carry an umbrella, because it is raining.	Not sure. is not meant to demonstrate causation, so how do you demonstrate a 'because' using the permitted symbols?
2.	I carry an umbrella, hence it is raining.
3.	It is raining, hence I carry an umbrella.
4.	I don't carry an umbrella unless it is raining.
5.	It is raining, because I carry an umbrella.	See 1
6.	It is raining, because I don't carry an umbrella.	See 1
7.	It rains only if I don't carry an umbrella.	This one really seems like it needs ...
8.	I carry an umbrella only if it rains.

You can probably tell from my answers that I have no idea what I'm doing.jpg.

Any help would be appreciated, I assure you!

[Phy124]

Thanks Phy124 you're a champ. I didn't know it only ran semester one so that's a relief! I'll definitely send Horsley an email. It's hard to know what lecturers are like until you meet them, but if you say he's then I'll trust you.

If you can switch your brain back to a year ago, I am a bit confused by the questions from 4.2:

I have given it a go, but because you're limited in the symbols you can use (I assume?) a lot of them are the same. Am I missing something?

Here are my attempts:

1.	I carry an umbrella, because it is raining.	Not sure. is not meant to demonstrate causation, so how do you demonstrate a 'because' using the permitted symbols?
2.	I carry an umbrella, hence it is raining.
3.	It is raining, hence I carry an umbrella.
4.	I don't carry an umbrella unless it is raining.
5.	It is raining, because I carry an umbrella.	See 1
6.	It is raining, because I don't carry an umbrella.	See 1
7.	It rains only if I don't carry an umbrella.	This one really seems like it needs ...
8.	I carry an umbrella only if it rains.

You can probably tell from my answers that I have no idea what I'm doing.jpg.

Any help would be appreciated, I assure you!

Well it's been a while and I didn't spend too much time learning this stuff so I don't think I'll be able to teach you but I believe the following is correct:

1. "I carry an umbrella, because it is raining" = "It is raining, hence I carry an umbrella" =
5. "It is raining, because I carry an umbrella" = "I carry an umbrella, hence it is raining" =
6. "It is raining, because I don't carry an umbrella" = "I don't carry an umbrella, hence it is raining" =

Your 2, 3, 4 and 8 also look right, but I'm a little bit suss on 7 buuutttt yeah can't remember soz (using some of those predicate logic rules it could well be the same thing I am interpreting it as). Either way Daniel will cover the examples in greater depth in the lectures and add in a few more of his own, so I wouldn't worry too much. Good that you're keen, though!