In case anyone is turned off by the expectation of wishy-washy flim-flam, it's worth noting that Graham Priest may be a professor of philosophy, but is most well known for his work in logic, particularly in non-standard logics (i.e. not propositional or predicate logic) that allow non-boolean truth values, or weaken or remove some of the axioms of classical logic. I assume that what's relevant here will be his work o…
Fuzzy logic is a vary useful non boolean logic system. http://en.wikipedia.org/wiki/Fuzzy_logic In practice it's somewhat like neural net's but in a far more human readable format and vary useful for things like washing machines that have lot's of flakey sensors and little processing power. But the basic idea is statements truth is percentage based. For example "this statement is true" would be 50% true and there is…
The logic of Buddhist philosophy
161–170 of 210 posts
Re: The logic of Buddhist philosophy
#162Very interesting. It reminds me that I think an early start on programming made some Buddhist concepts easier for me to get. In particular for me there's a strong connection between using software to model the world and the Buddhist doctrine of emptiness, the notion that nothing exists in its own right: https://suite.io/matthew-bingley/1z8s2kx I started coding young, and over time I gradually came to see that any com…
Re: The logic of Buddhist philosophy
#163Re: The logic of Buddhist philosophy
#164This made me think of an interesting way I have heard some people answer the question "if God is omnipotent, then can he create a rock so heavy he wouldn't be able to lift it and then lift it? If yes, he is not omnipotent, if no, he is not omnipotent!" with a logical leap also hard to comprehend to western minds - he can do both, and that's why he is considered omnipotent. He doesn't need to follow human logic, hence…
Could a dictator decide to set up a Constitution and limit his own powers? Of course. Having absolute powers means having the ability to limit your future power.
Re: The logic of Buddhist philosophy
#165Earlier quoted context omitted.
That is absolutely the case. If something is "ineffable", it's probably logically ill-defined, and we should treat anyone who tries to use something "ineffable" in formal argument as a mystic spouting hogwash.
This seems like a valid argument to me. Could one of the downvoters perhaps care to point out the errors in it. Or is it just because of the word 'hogwash'?
Re: The logic of Buddhist philosophy
#166I'm going to go meta here and say the hn discussion here is just fantastic. This is the reason I frequent hn and I wish more submissions would spur discussions of this quality.
Re: The logic of Buddhist philosophy
#167How the hell are there this many people here who buy this hogwash? >Nagarjuna often runs through the four cases of the catuskoti. In some places, moreover, he clearly states that there are situations in which none of the four applies. They don’t cover the status of an enlightened person after death, for example. Are you kidding me? This article isn't even about formalizing non-boolean logic. It's thinly veiled religi…
Re: The logic of Buddhist philosophy
#1681. A computer science audience: Not all sentences have a computable boolean truth value. Here's why. To find the truth value of the sentence "This sentence is false.", you have to figure out the truth value of the following statement (call it X1): "Whether or not this sentence is false depends on if X1 is true or false." Put that way, you can immediately see the circularity in computation. From a computer science perspective, there is no terminating condition. The function will never complete, so there is no computable boolean truth value.
2. To an educated, but non-technical, audience: Just because a sentence asserts something doesn't mean there is any guarantee of the result being "truth" or "falsehood". The truth value of this "This sentence is false." is simply "undecidable" or "ineffable" -- pick a word. So, just live with the fact that not everything is true or false. Note: I'm not saying that the statement is really one or the other but we just can't figure out which (as in Schrödinger's cat); I'm saying that neither "true" or "false" makes any sense for that kind of self-referential sentence.
This really isn't mind-blowing. Many articles write up these "paradoxes" as if they are insurmountable. They aren't.
All of this said, I think many philosophical writings, especially Buddhist writings, use contradiction as way of promoting thinking and careful decomposition of the essence of things. In short, complex things consist of parts that vary over time. So their components or transient values can seem to change or stand in contradiction.
There is no contradiction in Dickens writing "It was the best of times and it was the worst of times." in my opinion. This is just a literary device to show contrast eloquently, because saying "In some regards, it was the best of times. In other regards, it was the worst of times." is not as memorable or striking.
Re: The logic of Buddhist philosophy
#169Earlier quoted context omitted.
This seems like a valid argument to me. Could one of the downvoters perhaps care to point out the errors in it. Or is it just because of the word 'hogwash'?
I'm very concerned at the number of people on HN who seem to have bought into this religious mysticism disguised as math. That's one of the oldest tricks in the book.
Re: The logic of Buddhist philosophy
#170I can appreciate the depth of research behind the article. The many-valued notions of logic are quite helpful. Here's are two ways that I would distill the message for different audiences. 1. A computer science audience: Not all sentences have a computable boolean truth value. Here's why. To find the truth value of the sentence "This sentence is false.", you have to figure out the truth value of the following stateme…
It's like Aeon writers get paid by the word.