No, a proposition is just an object. An object doesn't assign properties to itself, an object is just something with properties. — MindForged
I said the contradiction can be arbitrary, so it doesn't matter what you substitute for "P". The Golbach Conjecture is true and it isn't true. — MindForged
The referent is what the sentence is about, the predicate tells us that the object in question is related to black. — MindForged
Your initial objection here was the claim the Liars lack a referent in reality. The Liar sentences have a referent (themselves) and that's just the way it is. — MindForged
Um, that's incorrect. A proposition is just an object, whose ontological status will depend on what view you adopt about abstract objects. A statement is not the same thing as a proposition, though they are related. — MindForged
As for a contradiction that doesn't violate identity, well, just post any arbitrary contradiction. I'll stipulate, for my example, that it's in a language which lacks equality, and therefore the semantics required for identity. "P & ~P". A contradiction and therefore false to be sure, but identity isn't required. — MindForged
No, that's not what a referent is. A referent is what the sentence is about. The referent of "My dog is black" is the dog in question, not "reality". — MindForged
Identity regards the properties of an object, LNC regards whether some proposition is the case or is not the case. — MindForged
Well I mentioned Paraconsistency in the OP so it didn't come out of nowhere (there'd be no reason to advocate for a true contradiction unless you dropped explosion). And it's not arbitrary to do this; if you accept the Liar as a sound argument you need to eliminate or restrict an inference rule that generates explosion. — MindForged
I don't know what you're trying to say here. Only the phrase "this sentence" has a referent, the entirety of a sentence can't have a referent. — MindForged
It's raining and it's not the case that it's raining. I'm sserting a proposition and its negation both hold, not that there is some object which has and lacks a property (that *is* a contradiction). — MindForged
I don't think you understood me. Accepting that not all contradictions are true is *not* the LNC, that's simply a rejection of Trvialism. That's not using the LNC, because rejecting the LNC does not entail accepting all contradictions. — MindForged
The contradictory sentence exists. If on your view it is simply false, the sentence exists so saying the sentence lacks a referent is gobbldygook (non-existent things cannot have a proeprty like falsehood.) — MindForged
To see this, have a look at the Hong–Ou–Mandel effect. Figure 1 shows the four quantum states in superposition when two photons enter a beam splitter at the same time, one photon entering from above and one photon entering from below. — Andrew M
What is actually observed is that the two photons always emerge together on either the upper or lower side of the beam splitter (i.e., either state 1 or 4). — Andrew M
So again, what is 'a triangle'? It is not an object per se - an object is this or that triangle, a particular - but what a triangle really is is a plane surface bounded by three straight lines. — Wayfarer
A contradiction is not the assertion that an object has a property "X" and lacks that property, it's the assertion that a proposition holds and it's negation holds. — MindForged
Well yea bro, I'm not gonna quote the entire paper. I named the paper at the end of the quote and offered to send to the PDF of the paper in question if you couldn't access Sci-Hub (it's having issues right now). — MindForged
Well this is the easiest thing in the world. I did not mention "completely rejecting the LNC" because Dialetheists don't completely reject it. They don't believe ALL contradictions are true, only some. — MindForged
If "It is raining" has meaning, and it's negation "It's not case that it's raining" are meaningful, then "It's raining and it's not the case that it's raining" is meaningful. — MindForged
There is a proposition "P such that "P" relates to truth and "P" relates to falsity. — MindForged
"This sentence" refers to the ENTIRE sentence, not to the phrase "this sentence". — MindForged
I mean, "This sentence has five words" is equally self-referential and yet the predicate "has five words" is clearly the case about the sentence. — MindForged
Actually, the Platonic analysis of this apparently obvious point, was that no object truly is, on account of it being an appearance only, without inherent reality (following Parmenides.) But this is not so with 'ideal objects' such as numbers, which really are what they are; so A=A is always certain, but when it comes to the sensory or phenomenal domain, there are actually no 'A's as such, but only representations. — Wayfarer
The phenomenon is known as 'ambiguous loss': it seems that the most balanced human reaction is to embrace the contradiction, i.e. to accept that the missing person is both alive and dead, like Schrodinger's cat. — mcdoodle
I know what identity is, I was spelling out the properties of the identity relation, which is what the principle is. To "violate" the law of identity does not entail violating the Law of Non-contradiction. The LNC asserts that a proposition cannot be true and its negation be true as well. The Law of Identity tells you how to know when a seemingly distinct objects are in fact identical (when they share all their properties). That is why one can remove the law of identity from their formal logic and yet retain the LNC. — MindForged
That's an assumption (one which I would share), but it's not obviously the case given certain possibilities in quantum mechanics. I already quoted the relevant paper explaining this up above, but thus far you seem to have avoided acknowledging anything I've linked. — MindForged
Well that's a silly view. Lots of things don't correspond to reality, yet they are true. There are an infinite number of mathematical truths that don't correspond to anything in reality yet I doubt you'd deny them or claim they were meaningless. — MindForged
You asserted that if Dialetheists argue there is a true contradiction (that the LNC is not true) then they are thereby employing the LNC. This could only be the case if the notion of a "contradiction" assumed the LNC, which doesn't make any sense. Rejecting the LNC simply means you believe there is at least one true proposition which also has a true negation. — MindForged
Being contradictory isn't sufficient for meaninglessness. A meaningful sentence is meaningful if it's components are meaningful. — MindForged
And besides, the sentence "This sentence is false" seems perfectly meaningful and it has a referent in reality (the very sentence itself, as that's what it specifies). — MindForged
That is not the principle of identity. The POI says that for every "x", x stands in a symmetrical, transitive and reflexive relation with itself. — MindForged
To restrict the domain of application of the POI means that the objects is question are metaphysically (not epistemically) indistinguishable. — MindForged
"This sentence is false." — MindForged
There are known systems of logic which lack the Principle of Identity or even change the law itself. — MindForged
Well this is just false.The way that (dialetheic) paraconsistent logics deny the Law of Non-contradiction is simple. They merely give a case wherein there is a proposition which is true and its negation is true. — MindForged
Would a good analogy for the relationship be "logic is 'pure logic' and science is 'applied logic', in comparison to pure and applied mathematics"? — MonfortS26
If you don't understand the distinction between abstract mathematics and the actual, physical world that we live in, that's something you should try to understand. You've fatally weakened your own argument by admitting you don't know the difference between the two. — fishfry
How do you justify the idea of dimensionless points as physical entities? Even in an alternate universe? — fishfry
Do you suppose that the axiom of choice is true in such a space? — fishfry
Then the Banach-Tarski paradox is true as well. Then matter could be created, contrary to the laws of physics. — fishfry
Is it possible that you (like me, like Kant, like everybody) have a strong intuition of Euclidean space, yet that intuition is simply misleading? And that in fact mathematical Euclidean space is inconsistent with physical reality? — fishfry
Is this the line of argument you are putting forward? If not, then what are you saying exactly? — fishfry
Assuming Pythagoras discovered irrational numbers, what are we to say about irrational numbers before Pythagoras discovered them? — tim wood
Of all the possible combinations of matter why did you get chosen? — Purple Pond
False, I never said that. — Agustino
:s Maybe that "impulse" is just who I am. I am part of the causal chain afterall. Determinism and free will are not incompatible. — Agustino
Nope. You have no understanding of feedback loops or how systems regulate themselves no? No understanding of top-down causality perhaps? :s
This causal chain you're referring is not like a series of dominos, one hitting the next, etc. etc. No - it is rather self-regulating. It self-regulates and maintains itself (its own nature) by modifying and re-directing external impulses. — Agustino
You keep talking about something I cannot choose, as if I was outside of the causal chain, but somehow still affected by it. — Agustino
You don't choose to come into existence. But once in existence, you do choose things, since you are a system capable of autonomy. — Agustino
Okay, so you choose your actions. End of story. Therefore you're free in-so-far as you choose your actions, which is pretty much everytime you act. — Agustino
You are the one muddying the waters. It is really a pathetically low level of philosophy. You do not even coherently distinguish between impulses, intentions, actions and all the other relevant terms. You take intentions to be impulses for example...
Impulse -> You (the process of forming an intention, of choice) -> action — Agustino
So I need an intention?! Who is this I?! Isn't this I the intention? — Agustino
What do you choose, ever? — Agustino
My choices are not impulses. They are processing of impulses, which is done by complex feedback loops with respect to my nature. — Agustino
There is no question of resisting your own self if that's what you mean. There is no self outside your self to resist your self, so the very question is absurd. It literarily makes no sense. — Agustino
And impulses are external. So yes, the self can absolutely resist those external impulses, whatever they are. — Agustino
Of course I can't choose my self, because that would imply to be other than my self when choosing. That would be contrary to the whole notion of being a self in the first place, and therefore contrary to even the notion of choosing. You have an incoherent model based on mechanistic assumptions. — Agustino
This analysis is naive because it leaves out of the question your own self. There's nothing in the picture that you can identify with your self at this point, except a homunculus who just sits there and watches as experience flows by. — Agustino
Nope, my choice isn't caused by my impulses at all. That's exactly why impulses can be resisted once they are perceived in the first place. — Agustino
I am created by someone else. Once created I have the FREE CHOICE between A and B. I choose one of them, and therefore end where I end up. — Agustino
An individual's choice is part of the causal chain. The universe is not FATALISTIC. There is a big big difference between determinism and fatalism. The individual isn't destined by absolute necessity to X or Y particular things. — Agustino
So what if I don't create myself? It doesn't follow that once created I don't have free will. — Agustino
Well, actually, the individual does have a very large degree of control over his actions. — Agustino
:s Maybe that "impulse" is just who I am. I am part of the causal chain afterall. Determinism and free will are not incompatible. — Agustino
Riiight, well apart from the nonsense you're speaking with regards to free will, I pretty much agree with everything else about helping the unlucky ones who cannot help themselves as you say. — Agustino
It's not really luck, you just need to be concerned about these things and spend a long time thinking about them and working on them. — Agustino
Well, if you put it that way, you need to be lucky to even be born :s . — Agustino
But now you're exaggerating the notion as if the decisions you take don't play a role at all. — Agustino