mikkel_the_dane
My own religion
Falsehood is real, but it doesn't exist.
So how do you know, it doesn't exist. Do you literal do nothing to know that?
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Falsehood is real, but it doesn't exist.
No, it is not a contradiction to say that there are no married bachelors. None whatsoever. in fact, it is very true. Ergo, we can make sense of sentences involving married bachelors without introducing contradictions very easily.married-bachelor is a contradiction. empty-set is a contradiction. open-closed is a contradiction. right-left is a contradiction. black-white is a contradiction. etc...
What? No. the sentence "the set whose elements are married bachelors" does not contain the sentence, or the idea, or whatever you have in mind. It contains married bachelors. By definition. Following your reasoning, I could say that the set of all Jews contain the idea of Jews, and that therefore has only one element. Which is obviously false.any contradiction put into a set is not empty. the contradiction itself is the element, object, construct, which is contained in the set. A set can contain an idea. the contradiction is the idea.
Not at all. The set of married bachelors is a well defined, not contradicting idea. What would be a contradiction if it contained one married bachelor. But it doesn't, because it can be proved to be empty. Ego, no contradiction.married-bachelor IS the element. Here, like this: 1 >>>> { 1 }. Married-bachelor >>>>> { Married-bachelor }. Null >>>>>> { Null }. Contradiction >>>>> { Contradiction }.
Nobody conflated {} with { {} }. This is, I am afraid, only in your mind. For the simple reason that {} and { {} } are two very different sets.t's because you are ignoring the cognitive step where the definition of set is being applied to the concept "empty". Its happening automatically, instantaneously, and without your awareness. When the definition is applied, that is when the set is being generated and "empty" becomes the element. This is what I meant previously when I said that {} is being conflated with { {} }.
According to this logic, I could say that infinite sets are not sets, because the empty, singleton and finite sets contain all a finite amount of elements.Can't be. Singleton, finite, infinite all have elements. The so-called "empty-set" has none.
Well, the problem is that if you can talk about a contradiction but it doesn't exist, how can you then talk about it, because you talking, is doing something, unless you are actual doing really nothing. But how do you do that?
Let me explain what is going on. A contradiction is the experience of a feeling of being off, but that is still a feeling. It is just a negative feeling. So what you are talking about is the limit of human cognition as to always make positive sense, but it doesn't.
In empirical terms you are having a first person internal and not external sensory experience of a negative.
Your idea is that the world is logic and I just say no.
No it doesn't. Suppose that I say: "all guys in this room that speak German: raise your hand!". Do you think that this requires the assumption that there is at least one in the room that speaks German, in order to make sense? Of course not.Yes, "All elements" assumes that "elements" exist.
I disagree. That's not what is happening with me. There's two ways of understanding. One way is intellectual. That is what I am doing in this thread. There's another way which is emotional. That is not what I am doing in this thread.
No, it is not a contradiction to say that there are no married bachelors. None whatsoever. in fact, it is very true. Ergo, we can make sense of sentences involving married bachelors without introducing contradictions very easily.
And also this statements of yours fails, in general.
What? No. the sentence "the set whose elements are married bachelors" does not contain the sentence, or the idea, or whatever you have in mind. It contains married bachelors. By definition. Following your reasoning, I could say that the set of all Jews contain the idea of Jews, and that therefore has only one element. Which is obviously false.
Not at all. The set of married bachelors is a well defined, not contradicting idea. What would be a contradiction if it contained one married bachelor. But it doesn't, because it can be proved to be empty. Ego, no contradiction.
Nobody conflated {} with { {} }. This is, I am afraid, only in your mind. For the simple reason that {} and { {} } are two very different sets.
According to this logic, I could say that infinite sets are not sets, because the empty, singleton and finite sets contain all a finite amount of elements.
Singleton, finite, infinite all have elements. The so-called "empty-set" has none.
The empty set is just one type of set. Nothing more, nothing less. One with no elements. And that is why all definitions call it a set, a type of set, etc. Otherwise they would not have called it a set, don't you think?
No it doesn't. Suppose that I say: "all guys in this room that speak German: raise your hand!". Do you think that this requires the assumption that there is at least one in the room that speaks German, in order to make sense? Of course not.
Therefore, your argumentation is based on a false premise.
Ciao
- viole
So how do you know, it doesn't exist. Do you literal do nothing to know that?
Well, we do empiricism, ontology and logic differently. And that exists.
The claim is that all married bachelors have blue hair, and that is certainly true. There is no contradiction whatsoever, for the simple reason that there are no married bachelors.Married-bachelors have blue hair? False, there is no hair and it certainly isn't blue.
Married-bachelors have big feet? False, there are no feet, and they certainly aren't big.
Yes, if they are defined as the set of ideas. But the set of married bachelors is defined as the set of married bachelors. And a married bachelor is not an idea of a married bachelor.The set of "all Jews" contains the idea of "Jews". The set of any idea, any concept, anything you can imagine or name, is a set that contains at least 1 element. If this is obviously false as claimed. Attempt to prove it, and I will show the fault.
Can sets contain ideas, or not?
The empty set is extremely well deigned. It is actually the simplest definition for a certain type of set.Yes, and when you well-define it, that is the cognitive step which is applying a definition to it, which makes the concept "married-bachelor" an element. The contradiction occurs when a person denies that "married-bachelor" is an idea which is being included in a set.
Of course it is. It is defined as a set. It is not defined as a horse with no elements. Or as US president with no elements. It is a set. And all definitions you can find stress that.{} is not a set if it has no elements. As soon as it is made into a set by applying the definition to it, {} is being conflated with { {} }.
Well, it is a fact that singleton, infinite sets, finite sets, empty sets they all belong to the same category. They are all set. And the fact that one type is different from the others, does not invalidate inclusion. in the category. The empty is a set, defined as a set since it has been incepted. All mathematicians in the world would consider that as obvious as 2+2=4.alse. That is not what I said. I said the opposite. If you cannot make an argument without changing what I'm saying then, you lose.
Not true. There is no assumption that a set must contain at least one element in order to be called a set A set is a collection of objects, and that collection can be empty, as all definitions you will find everywhere will confirm to you. Give me a source of your liking, and I will show you where it says exactly that.o. The "empty-set" is the opposite of a set. A set contains elements, and the "empty-set" does not.
an un-truth a type of truth, or else why did they call it un-truth?
a dis-joint is a type of joint, or else why did they call it dis-joint?
an A-theist is a type of theist, or else why did they call it A-theist?
It is different, but both true. If there are no German speaking guys in the room, then it is the case that all of them are raising their hands. Can you see one who doesn't? Of course not. Therefore they all do that.Equivocation fallacy.
"All guys in this room that speak German: raise you hand!" =/= "All guys in this room that speak German are raising their hands"
The claim is that all married bachelors have blue hair, and that is certainly true. There is no contradiction whatsoever, for the simple reason that there are no married bachelors.
Look, this is simple logic, and it rests on the principle of the excluded middle.
It is either true or false that all married bachelors have blue hair. Let's prove it is not false, and it is therefore true. The claim "all married bachelors have blue hair" is false if and only if there is at least one married bachelor that does not have blue hair. But this is clearly impossible, because there are no married bachelors at all, not to speak of the ones having any hair color. Ergo, the claim "all married bachelors have blue hair" cannot be false, and it is therefore true.
Out of the basic laws of logic. And for sure no contradiction whatsoever arises from the claim.
Yes, if they are defined as the set of ideas. But the set of married bachelors is defined as the set of married bachelors. And a married bachelor is not an idea of a married bachelor.
Therefore, your deduction is based on a category error.
The empty set is extremely well deigned. It is actually the simplest definition for a certain type of set.
And again, the set of X, does not contain the idea of X, since X and ideas of X are different object. So, thinking otherwise is confusing things with their idea which is a category error.
Of course it is. It is defined as a set.
It is not defined as a horse with no elements. Or as US president with no elements. It is a set. And all definitions you can find stress that.
And this thing that it is conflated with {{}}, is something that only you do. Nobody would say anything so absurd, otherwise. Because you cannot possibly conceive something as simple of a set with no elements. And I really wonder why. What is simpler than that?
And what do you mean, as soon it is made into a set? It is already a set. By definition.
Well, it is a fact that singleton, infinite sets, finite sets, empty sets they all belong to the same category. They are all set.
And the fact that one type is different from the others, does not invalidate inclusion.
The empty is a set, defined as a set since it has been incepted. All mathematicians in the world would consider that as obvious as 2+2=4.
So, you are fighting against something that does not correspond to the definition.
Not true. There is no assumption that a set must contain at least one element in order to be called a set A set is a collection of objects, and that collection can be empty, as all definitions you will find everywhere will confirm to you. Give me a source of your liking, and I will show you where it says exactly that.
Do you thing that the statement "2+2=5 is false" is not true?
C'mon.
It is different, but both true. If there are no German speaking guys in the room, then it is the case that all of them are raising their hands. Can you see one who doesn't? Of course not. Therefore they all do that.
So, I am not sure what your point is.
Ciao
- viole
It's the same experiment I offered before. Right now, lift up your hand, open it, flip it over, shake it out. Any statement made about what you see in your hand will be false. That is falsehood. It describes what does not objectively exist.
How are we doing logic differently?
Yeah and real doesn't objectively exist, because it is an idea in your mind. You have build your system on a falsehood and even that is not real.
Real includes both what exists and what doesn't exist.
See above your post.
I don't confuse ontology and logic. And to know true and false is a first person cognitive act and not a part of objective reality.
Now after reading this, point to truth like you can point to your hand, if you have one.
And there is no existence out there, because you can't point to that either. The same with real.
I don't confuse ontology and logic. And to know true and false is a first person cognitive act and not a part of objective reality.
Now after reading this, point to truth like you can point to your hand, if you have one.
And there is no existence out there, because you can't point to that either. The same with real.