Better by the only criteria that matters. Once something is proved, everybody will agree to it given enough time to examine and question the proof. Once someone makes a mathematical proof, the philosophical arguments are thrown on the trash heap. As you mentioned, Wittgenstein threw his earlier philosophical arguments on the trash heap. Given a few more years, he would have thrown his latest philosophical arguments on the trash heap as well.
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And again, the history of philosophy is replacing philosophical arguments with better tools. Your link just shows sloppy thinking from both Hume and his critics.
If a mathematical proof hasn’t been verified, it isn’t accepted. For a proof that uses lots of new nontrivial machinery, the mathematician is expected to give talks to motivate that machinery and answer questions from other mathematicians. Or they can just build their proof in Lean from already well understood axioms.
It’s generally agreed
That’s my point. Mathematical proofs aren’t generally agreed. They are agreed by everyone to logically follow from the definitions and axioms started with. Every single statement in a mathematical proof evaluates to true or false, and if you don’t believe a mathematical proof, you can directly point to a statement that is false. Philosophical arguments are “generally agreed” upon until the tools to take them out of philosophy are developed, and then the philosophical arguments are discarded entirely.
Your same argument that mathematics can be discussed under philosophy can be used to argue that mathematics can be discussed under the framework of wild untethered speculation. Neither one is a convincing argument that philosophy or wild untethered speculation is useful.
This is why ethics has failed. It has been built on the unstable foundation of philosophy instead of on the solid foundation of mathematics.
It’s not about those specific proofs.
It certainly is about those specific proofs and anything that has been rigorously proven in Lean. We’re discussing techniques that show something is correct forever, and those proofs show that something is correct forever. Philosophical arguments don’t even show that something is correct today. This is why the examples I gave earlier are now not explained by philosophy but by other systems. Once the tooling exists to lift a discussion out of philosophy, that is the end of philosophical debate for that topic.
Furthermore, the kernel still relies on CPU, memory and OS behavior to be bug free.
Only to a point, just like human language proofs require the reviewers brains to be bug free to a point. The repeated verification makes proofs as correct as anything can get.
The fact that C++ is Turing complete does not prevent it from computing that 1+1=2. Similarly, the fact that C++ is Turing complete does not prevent programs created from it from verifying the proofs that they have verified. The proof of the halting problem (and incompleteness proofs based on the halting problem) itself halts. https://leanprover-community.github.io/mathlib_docs/computability/halting.html
It is not necessary to solve the halting problem to show that a particular lean proof is correct.
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News@lemmy.world•Rep. David Scott, a Georgia Democrat seeking his 13th term in Congress, dies at age 80
1·2 days ago79% of Americans say they want age caps for elected officials, but they keep voting for people older than those age caps, and that is the result that counts in the end.
You’re just covering my third paragraph. Yes, everybody is a philosopher because we don’t have the tools to do away with philosophical arguments entirely yet.
Once a mathematical proof has been verified by computer, there is no arguing that it is wrong. The definitions and axioms directly lead to the proved result. There is no such thing as verifying a philosophical argument, so we develop tools to lift philosophical arguments into more rigorous systems. As I’ve shown earlier, and as another commenter added to with incompleteness, this is a common pattern in the history of philosophy.
And we determined that the resulting incompleteness proofs are valid mathematical proofs whose logical correctness has been verified by computer. https://formalizedformallogic.github.io/Catalogue/Arithmetic/G___del___s-First-Incompleteness-Theorem/#goedel-1
They are clearly mathematical. Starting with definitions and axioms and deriving results from there using mathematical statements.
But that’s math. And its proof is math. And that proof is true everywhere forever.
I see philosophy as a place to make nonrigorous arguments. Eventually, other fields advance enough to do away with many philosophical arguments, like whether matter is infinitely divisible or whether the physical brain or some metaphysical spirit determines our actions.
Since this is a question that math hasn’t advanced enough to answer, we can have a philosophical argument about whether other fields will eventually advance enough to get rid of all philosophical arguments.
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News@lemmy.world•Rep. David Scott, a Georgia Democrat seeking his 13th term in Congress, dies at age 80
23·3 days agoYou’ll find that a lot of people here don’t care how old Sanders is (older than McConnell). It’s his turn.
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World News@lemmy.world•Singaporean man executed for importing cannabisEnglish
1·3 days agoCannabis has been found to be ineffective for most of the conditions it’s prescribed for.
No, it hasn’t.
From the very beginning of the linked article: “Medical cannabis lacks adequate scientific backing for most of the conditions it is commonly used to treat”
Reading is hard, as you say.
Cannabis has been proven to be a very effective treatment for nausea and seizures
Not “very” and not for “nausea and seizures” in general. It has shown effectiveness specifically for “chemotherapy-induced nausea” and “certain severe pediatric seizure disorders such as Dravet syndrome and Lennox-Gastaut syndrome” according to the very article that you claim to have read. For more, Dr. Chung explains
“Recently, cannabidiol (CBD) is the one that showed efficacy, but people tend to extend that into any other epilepsy… It is confined, as evidence suggests, to those 2 syndromes, but not other types of epilepsy.”
The standard of care treatment for chemotherapy induced nausea is antiemetics. More recently, Dravet Syndrome can be treated with Zorevunerson with over 90% efficacy. This is without the risk of cannabis associated psychotic symptoms. I have personally witnessed a smart kid at a top university succumb to debilitating marijuana induced schizophrenia and get banned from campus as a safety risk. That is not a side effect that patients should accept.
Regardless, cannabis has been an effective treatment for many medical issues for centuries for a reason,
Mercury was a mainstay in medicine for treating syphilis, constipation, and infections (using calomel) from the 16th to 20th centuries, often causing severe toxicity. Medical science is a relatively new concept. Doctors didn’t start sterilizing their instruments until the late 19th century.
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World News@lemmy.world•Singaporean man executed for importing cannabisEnglish
1·3 days agoWhat am I ignorant about? Are you just going to let me wallow in my ignorance? So far, I have only stated things that are true as far as I know and presented my sources. You and the other lady say that I am misinformed but don’t care to inform me.
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World News@lemmy.world•Singaporean man executed for importing cannabisEnglish
12·4 days agoYou embarrassed yourself online because you have a weird offense to even the notion that weed can be used for medicinal purposes
Not embarrassed at all. If anything, I take offense to people being given bad medical advice. If you were prescribed cannabis, you would be among them.
What have I said that is demonstrably false? Please demonstrate. I’m all ears. What should I have researched instead of the HSA website?
Chill.
Yes, it’s a disgusting joke, but it’s no more possible to rape a dead body than it is to for JD Vance to rape his couch. It’s no more possible to rape a dead body than it is to kill a dead body.
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World News@lemmy.world•Singaporean man executed for importing cannabisEnglish
15·4 days agoTake a chill pill. I did look up the HSA application for medicines. Cannabis and chewing gums were specifically banned, but nothing else was called out.
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World News@lemmy.world•Singaporean man executed for importing cannabisEnglish
14·4 days agoAs far as I know, all other narcotics prescribed in the US are allowed in Singapore with an HSA approval, which is exactly my point.
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World News@lemmy.world•Singaporean man executed for importing cannabisEnglish
111·4 days agoYou might want to get a better doctor. Cannabis has been found to be ineffective for most of the conditions it’s prescribed for. The very few that it has shown effectiveness for have better treatment options available. https://www.uclahealth.org/news/release/evidence-lacking-medical-cannabis-most-conditions


You’re confusing the DNC with the primary voters, who gave Clinton a landslide victory over Sanders. You can’t get any closer to the will of the people than that.