Article View: sci.logic
Article #1047Re: Why Some Sentences Lack Truth Values
From: R. Srinivasan
Date: Sat, 17 May 2008 15:08
Date: Sat, 17 May 2008 15:08
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4629 bytes
On May 16, 4:10 am, MoeBlee <jazzm...@hotmail.com> wrote: > On May 15, 3:29 pm, "R. Srinivasan" <sradh...@in.ibm.com> wrote: > > > NAFL is a new > > logic and provides, among other stuff, a new philosophy of truth. To > > pretend that NAFL does not exist, as philosphers have been doing for 6 > > years now, is shameful dishonesty. I have no other words to express > > myself here. > > No one pretends it doesn't exist. It's just that not a very many > people care about it; which is reasonable since you won't provide the > basic definitions that would make it understandable to other people. > One might as well throw a bunch of electrical wires into a cardboard > box and say, "Here, a new kind of computer! A revolution in > information technology!". > > The basic philosophical ideas behind NAFL can be understood without delving into details. You can treat a NAFL theory like a black box and understand the NAFL truth definition and the requirements imposed on NAFL theories by this truth definition. You can also understand the philosophical differences between NAFL and classical/intuitionistic logics as far as the fundamental laws of logic are concerned (law of excluded middle, non-contradiciton), and some other essential differences like how A-->B is treated in NAFL.,without actually being able to construct a NAFL theory. The key point is that the NAFL truth definition embodied by its Main postulate actually influences the way NAFL theories are constructed. That truth for formal propostions consists of axiomatic declarations in the human mind is a sacred and inviolable requirement imposed on NAFL theories. This is a striking difference between NAFL and classical/intuitionisitic logics (which treat "truth" as something completely independent of axiomatic theories). You have to understand all this before plunging into the construction of NAFL theories. If you expect the kind of definition that exists for classical theories, you will not get that because a NAFL theory cannot be defined as a mathematical object. You can only make the definition precise enough to be able to work within NAFL theories. There are solid reasons for this requirement. One of these is that Godel's incompleteness theorems cannot go through in NAFL, and that is a fundamental requirement imposed on a NAFL theory by its truth definition (the NAFL version of PA has to be complete in order to be consistent and consistency/completeness are metatheoretical notions in NAFL). Unfortunately I am unable to find time to post continuously enough to start a new thread on this subject. I have been flooded with routine work on software projects. Pathetic that nobody in IBM Research is even willing to discuss NAFL with me. I was hoping for a long time to find some support from there so that I can find time to continue my work on NAFL. But now I know what the score is. Somehow I have to make enough time to write a couple of papers this year, and I will get around to further postings at that time. Regards, RS
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