Question

I'm currently reading chapter 1 of this probability theory book. I plan on going through the whole book with anyone who's interested! Come join me and we can help each other learn by asking questions to better our understanding here!

(online version)
http://www-biba.inrialpes.fr/Jaynes/prob.html

(full PDF version for download)
http://f3.tiera.ru/2/P_Physics/PT_Thermodynamics,%20statistical%20physics/Jaynes%20E.T.%20Probability%20theory%20-%20the%20logic%20of%20science%20(book%20draft,%201998)(592s).pdf

Answer 1

Is the book solely on Probabilities?

Answer 2

I may read with you, only if I can find the time

Answer 3

Well since I haven't read the book I can't tell you. From what I believe, the idea behind the book is that it looks at probability as an extension of logic.

Answer 4

nice , sure i'll read
thx for the book !

Answer 5

I had started reading it about a year ago but I had to return it to the library before I could finish it. This is one of the few math books I have read and really enjoyed while reading.

Answer 6

i'll start to read ,
recently im trying to improve my self in DE's
but probabilities and game theory would be a nice addition this summer

Answer 7

Are you reading the whole thing today? or we still have time to read it? as in tomorrow

Answer 8

Oh I am going to be going through only chapter 1 for right now. I don't imagine I will start on chapter 2 for a few days since I think it's a good idea to give people time to read the introduction if they like (You should!) and it's a good idea to allow some time between each bit of studying to rest so that you don't rush through it and forget everything.

If anyone is interested, we can start a facebook group to work through the book together and help motivate each other and by answering each other's questions we will all be able to take ourselves much further than we can on our own. =)

Answer 9

Oh okay that makes sense, and sure I'm interested. May take me a week to finish- too much reading to do!! Thanks

Answer 10

Take it at your own pace, as long as you're reading and have questions someone will be able to discuss it with you to help understand.

Answer 11

First question I'm coming across is on page 109 (The book is numbered so that this means that this is the 9th page of chapter 1)

I'm trying to show how \[\large C =(A+ \bar B)(\bar A + A \bar B) + \bar A B(A+B)\] is the same as \[\large C =B \implies \bar A\] I already know that this is true because I have made out the truth table, but I want to be able to get to this result algebraically since doing truth tables gets cumbersome.

Here's my attempt: \[\large (A+ \bar B)(\bar A + A \bar B) + \bar A B(A+B)\]distribute\[ \large A \bar A+ AA \bar B+\bar B \bar A + \bar B A \bar B + \bar A B A + \bar A B B\]getting rid of extra stuff\[ \large A \bar B+\bar B \bar A + \bar A B \]Now this is as much as I can reduce it down. How do I continue further with the algebra?

I can show by truth tables that this is correct, and the symmetry here even suggests that \[\large C = A \implies \bar B\] so kind of interesting although I don't think that helps. I'll post an answer if I come across it or figure it out, I'll continue reading now.

Answer 12

Dear Kainui,
I think that this book is actually not look at the probability as an extension of logic but I think that the probability is originally the logic of the science. Always in the human history, the science or any other name it had got, includes probabilities and frequencies regardless to the names of calculus methods.