I've been wondering about this for some time. Look at the earth and observe how it seems to be arranged in layers based on density - solid, the denses...
If the mind is the brain then, yes. If not then, no. Also it mind depend on what you mean by mind. If the mind is seen as brain function then, it beco...
This is the Albert Camus' paradox. He paints a picture of humanity as a Sisyphean struggle, overtly miserable, and then asks you to imagine that we sh...
I think we need to draw a distinction between theoretical and practical limits. In the former case, any non-zero size is divisible but in the latter c...
@"tim wood"@"Nagase" Just wanted to ask you two a question: IF proof isn't necessary for truth then, how do we distinguish between truths and falsehoo...
@"tim wood" I seem to have missed something (or maybe not). Godel's incompleteness theorem states that given an axiomatic system X capable of mathemat...
I may have spoken too soon there when I agreed with you. Yes, the general course of the humanity's moral ship seems to be towards something positive b...
That's just word play. Firstly, the incompleteness theorem has a proof, Godel's, with the express purpose of establishing the truth of the theorem. Se...
Well, Godel's incompleteness theorem must be part of mathematical knowledge but that's not what matters here. What matters is he's being inconsistent ...
What you've written is above my pay grade BUT... 1. Godel felt a necessity to prove the truth of the incompleteness theorem 2. IF Godel felt a necessi...
You're absolutely right. Whatever actual moral codes were put in place, those who made them were/are convinced it was/is for the betterment of the com...
You've made a good point. Godel's theorems depend on proof not being necessary for truth but the catch here is Godel, like all mathematicians and logi...
The story of the turtles ( ) is to expose the inadequacy of an explanation because it sets off an infinite regress consisting of the same explanation ...
So you would call the cops if someone accused me of a felony crime but didn't have a shred of evidence against me? By the way, justified true belief (...
Go on. What do you have to say about duality? I'm deeply interested in that concept but doubt its ability to serve as a foundational paradigm in a wor...
You maybe right you know. It could be as plain as the nose on my face even though I never am able to see my nose. On the other hand, things could be f...
How can you be sure of this and, more importantly, how can anyone ever know they've finally figured it all out. It's not that there's a university han...
I don't think this is Descartes' assumption. It looks like Descartes is supposing that thinking has a cause and that cause is the "thinking thing" but...
Thanks. But, in deductive logic, math included, proof guarantees truth. Ergo, being true doesn't need to be defined separately - it's redundant. Also,...
1. I think 2. If I think then there's a thinking thing Ergo 3. There's a thinking thing 1 can't be denied. To deny 2 you'd need to have thinking witho...
@"Banno"@"tim wood"@"EricH"@"sime"@"jgill" A simple scenario: It's true that this roller coaster, the one you want to ride on, is safe but it's my dut...
The crux of Descartes' argument is that everything physical, that includes the body, could be an illusion. The experience of pain can't be thought of ...
There was nothing new, nothing that wasn't already known, in your post. However, I may have missed something; do feel free to point out what you think...
An issue I see with your suggestion that philosophers should be entrepreneurs is that philosophy isn't something like rocketry a subject removed from ...
Thanks for all your inputs. As of this moment my brain is completely fried so you guys will have to wait for a couple of weeks or more for all this to...
People have always wondered whether there's something hidden beneath what they experience as reality, as if to say that which we experience everyday i...
@"Banno", there's a problem with your proof. Firstly, it appears that any and all statements can be shown to be unprovable with your or Godel's method...
@"Banno" A better version of your argument would be: P = there's a proof of G G (Godel sentence) = the mathematical statement with Godel number xyz is...
Things are beginning to clear up for me. Thanks. Your argument above according to me is: G (Godel sentence) = this mathematical statement (Godel numbe...
This is partially correct but only in the domain of induction, not deduction and math is completely deductive - if the premises are true and the argum...
No, I'm not claiming that I'm right. What I'm bothered by is the contradiction that takes the following form in Godel's theorems: 1. Godel deems proof...
Yes, "this statement is not proven" can be false. Ok, I assumed that it has been proven. Now I consider what happens if it is assumed to be false. We'...
Proof is both necessary and sufficient for truth unless we're talking about postulates/axioms. Godel's theorems are missing the proof that is both nec...
Forget for the moment Godel's case, let me ask you a simple question: Can you say the phrase "true but unprovable" in a conversation without raising e...
That's a different issue. Of course, the chances are next to zero that the entire mathematical community is wrong about the truth of Godel's theorems....
@"tim wood" @"EricH" Simply put, there appears to be a contradiction in Godel's proof. Try using the phrase "true BUT unprovable" in any other topic o...
I'm asking a simple question and no satisfactory answer has been offered by forum members. I hope this dogged persistence on my part is only a minor i...
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