unless we do something to halt the principle of explosion, we're doomed! — Agent Smith
The Grelling-Nelson paradox — Agent Smith
My understanding of paraconsistent logic, from Graham Priest, is that things can contradict each other and still be true — Jackson
Speak now or forever hold your peace!
This thread isn't going well. — Banno
Honestly, it doesn't seem to me to even be an argument. You seem simply to have misunderstood quite a bit of what is going on in talking about logic.
You talk of a "true" paradox. I wonder if it will help you if you try to set out explicitly what that might be. — Banno
WTF? — Agent Smith
That's unhelpful. You can't learn if you can't see your errors.
Ok, try this then. Can you set out exactly wha the Grelling-Nelson paradox is, and why it is "true'? — Banno
Please go through the literature on the paradox. I'm unable to fathom how you know I'm wrong when you don't know what the Grelling-Nelson paradox is in the first place! — Agent Smith
and...You seem simply to have misunderstood quite a bit of what is going on in talking about logic. — Banno
...hence, If you can set it out clearly we will be able to continue the discussion; if not, you may see the nature of the problem with what you take to be an argument.You can't learn if you can't see your errors. — Banno
SO can you explain why it must be true - what that means?
Wouldn't it be simpler to just say that "heterological" is neither heterological nor autological? — Banno
What Graham Priest text do you refer to? — TonesInDeepFreeze
1. Grelling-Nelson paradox is a true paradox in the sense both a proposition and its negation is true.
If so,
2. The LNC must be done away with (1 & the LNC are incompatible) as an law of the thought (a counterexample exists). — Agent Smith
The LNC is the reason we're interested in paradoxes. If you do away with it, we'll just accept contradictions as normal.
Could I be alive and dead at the same time? Of course! The towering human intellect falls in a ditch.
It's better to leave paradoxes in the closets we keep them in. Leave the LNC alone — Tate
However, if I'm correct, everyone is drawn to them like a moth to a flame. — Agent Smith
I believe the culprit wished to point out flaws in my reasoning. — Agent Smith
Do we need to do an overhaul of the logic we're using in this forum and in philosophy as a whole? — Agent Smith
The choices are clear. — Agent Smith
how the liar sentence was banished from the kingdom of propositions — Agent Smith
...there are brilliant and wise thinkers in the past who have come up with entire fields of study, such as mathematical logic, in which we find rigorous and brilliant solutions — TonesInDeepFreeze
Agent Smith is ignorant of how it actually works in formal mathematics. — TonesInDeepFreeze
I gave you fulsome explanation that the paradoxes do not occur in the ordinary mathematical theories. — TonesInDeepFreeze
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