Has anyone here read the Katz translation? How does it compare to the other two?

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Nah not surprised at all, I knew good ol’ England could do it ;)

I was actually convinced at stumps on day 4 that Aus were going to win, but Eng managed to pull through in the end. Also glad this series is done, having an emotional connection to one of the teams playing in a Test series is fun, but gets quite stressful.

However, I’m with Ponting that the ball change was poor and should be investigated. Shame one bad decision made such an impact on the game.

Seems fair enough except for the finishing on a high wrt this test I suspect, but maybe I’ll be pleasantly surprised.

Was there another reason he gave beyond wanting to be with his family? Didn’t really see anything else in the Cricinfo article.

Looks like a minimum of 3 hours play today (possibility of rain from 3) and probably whole day’s play tomorrow. Looks like the weather won’t be ruining another Test.

What a damn, damn shame

One day in, and with the way Australia have been carrying on I don’t think an English win is likely. In fact, I wouldn’t be surprised if we see the same scores from the last test, just with the teams swapped.

I’m not sure but could it be because, in your first truth table, you assumed the truth value of (a OR b) -> c to be true and you are finding the truth values of c that correspond with pairs of values of a and b?

However, in the second table you are finding the truth values of ~(a OR b) OR c that correspond with truth values of c as well as a and b so just like you said, you cannot compare the two tables you present above.

To get the truth table for the proposition (a OR b) -> c, you would find the corresponding truth values to those of a, b and c (like you did in the first table). Something like this:

A B C   A OR B   (A OR B) -> C
000       0             1
001       0             1
010       1             0
011       1             1
100       1             0
101       1             1
110       1             0
111       1             1

since it’s possible for the conditional proposition to be false (i.e. if either A or B are true yet C is false)

Afaik they are equivalent since using the truth table of a conditional A->B, it’s false when A is true but B is false (like how a philosophical argument is invalid if the premise A is true yet the conclusion B is false) so ~(A->B) = A and ~B and A->B = ~A or B. Were you asking about something else?

Effing Mancunian weather

If it’s the weather that stops us from winning from here, I might cry

Ofc it was Crawley with a knock which may end up keep us in contention for the Ashes…

is that danish

Is guix pull still slow? That was a problem I and a few others had a while back.

Yeah, great from India (especially Rohit, Jaiswal and Ashwin) but it’s sad to see WI fall further away from the side they once were.

Great win for England but I’m concerned about Root and Bairstow. For two batsmen that we’re relying so heavily on along with Stokes, we haven’t seen much from them with the bat since Edgbaston (not to mention Bairstow’s poor performance behind the stumps). I have a feeling that if it’s going to be anything like 2019, we’ll need someone to step up at Old Trafford…

Yup, Bairstow messed up and the blame should go solely to him. He’s been an international cricketer for a fair while, he really shouldn’t be doing things like that.

I don’t think that would work. You just use the fact that the integral from negative to positive infinity of sin(x)/x is pi, so from 0 to infinity it is pi/2, which you can derive from using Feynman’s trick for computing weird integrals like these.