Hello- I wanted to try and read George Boole’s Laws of Thought. I'm at a point where I'm stuck and near ready to quit. No you tube videos help. The link to the pdf of the book is: 15114-pdf.pdf (gutenberg.org) I got up to chapter 5, page 52 which states the following:
f(x) = ax + b(1-x) It's assumed in this expression that x can only have values of 0 and 1. f(1) = a, f(0) = b. Substituting back in we get f(x) = f(1)x +f(0)(1-x). I sort of follow this, but then he gets into very long expressions with f(x,y) which I can't follow at all, and haven't found anything explaining what he means. Also, I'm not sure what is significant about the form f(x) = ax + b(1-x). If you take away the f(x) part, I understand the right side, ax + b(1-x) to mean all x's that have the property a plus all b's which are not x's. What's the reason for making it an equation with f(x)? What does it even mean for an expression like this to be a function of x? When I think of functions, I think of numerical function like f(x) = 3x.
Boole goes haywire then writing expressions involving f(x,y) which go on for three lines or more, then adding zeroes to them, etc. Can someone please help me understand what's on Boole's mind here and what is the general idea of what he is talking about?
Also, what was he thinking when he created a system of math with only 0's and 1's 80 years before computers were invented? What was the possible application of such a system back then.
It's supposed to be a book that changed the world, but I can't find any source of information explanation what the light is behind all of it and what Boole's big insight was. At first I just had a feeling that this book was something great, and felt like I had some intuitive understanding of what he might have been getting at. Now I'm just totally lost.
Thanks
W ramach programistycznej prokrastynacji zapoznałem się właśnie z osobą George'a Boola, dzięki któremu codziennie używam typu boolean. Koniec jego życiorysu po prostu wbił mnie w ziemię:
>24 listopada 1864 roku Boole, jak zwykle, przebył pieszo 3 mile (4,8 km) na uczelnię. Tego dnia padał jednak ulewny deszcz, więc cały dzień, aż do powrotu do domu spędził w mokrym ubraniu, co sprawiło, że się przeziębił. Mary Boole wierzyła, że najlepszym sposobem walki z chorobą jest wystawienie chorego na jej przyczynę, regularnie polewała więc łóżko męża wodą. George Boole nie przeżył kuracji, zmarł po dwóch tygodniach.
Mary Boole była jego żoną. W angielskiej Wiki piszą, że owijała męża mokrymi prześcieradłami. Chyba taka brytyjska wersja "na trzy zdrowaśki do pieca". Znacie może więcej historii, w których zastosowano podobnie niedorzeczne "terapie"?
Sub in any logic gate, I'm personally fond of George Boole XNOR the Logic Gates.
https://preview.redd.it/20bjgch5r2w51.png?width=750&format=png&auto=webp&s=0cfae1baa00052b96441875828f602f2acd9b241
Can't find it in the TV guide. I know it was on this morning some time but I don't know which channel or what it was actually called.
Any ideas?
man thats crazy..200 years
RTE's George Boole narrated by Jeremy Irons
https://mega.nz/#!iVMAFTRI!8ZYFs5oBdmkxaMDUkN50AOFNnfXSLwu1hF1C3PghEPU
Even in the formation of opinion, which is of all things the freest from human control, and for which something like irresponsible right has been claimed, we are deeply answerable for the use we make of our reason, our means of information, and our various opportunities of arriving at a correct judgment.
