Combining George Boole and Thomas Bayes

Josh Alfred July 30, 2021 at 04:27 2475 views 3 comments Logic & Philosophy of Mathematics

Is there any way in which the two man's logic systems might come together and enhance one another? Is there any work being done on this, and is a frontier of logicians today? I am asking this presently because I am studying both and will soon endeavor to amalgamate them. After doing that I think there will be potential discoveries in my main field of study which is understanding how organic network systems function (Pursuing a degree in Cognitive Neuroscience).

Comments (3)

TheMadFool July 30, 2021 at 07:08 ¶ #573339 0 likes

As far as I know, both Boole and Bayes dabbled in mathematical probability.

George Boole:No general method for the solution of questions in the theory of probabilities can be established which does not explicitly recognise, not only the special numerical bases of the science, but also those universal laws of thought which are the basis of all reasoning, and which, whatever they may be as to their essence, are at least mathematical as to their form.

What do you reckon Boole meant by that?

Cuthbert July 30, 2021 at 07:48 ¶ #573345 0 likes

Quoting TheMadFool

Bayes dabbled in mathematical probability.

:rofl:

Up tails all.

Quoting TheMadFool

What do you reckon Boole meant by that?

I think he is referring to the logical basis of mathematics; a line of thought that culminated in the Hilbert programme. Whom you quote in your profile. You know this stuff already, no?

unenlightened July 30, 2021 at 09:42 ¶ #573359 0 likes

Reply to Josh Alfred https://en.wikipedia.org/wiki/Laws_of_Form