STOP MAKING MEN: So, to wrap up this opening post, my proposal is that we "stop making men". That is, control reproduction so as to gradually remove males from the population. — Jake
It is reasonable to condemn bigotry when it is directed against oppressed peoples, and not unreasonable to refrain from condemning it when it is directed against the oppressors, since bigotry is already inherent in the act of oppression..
1. A quantity is a specified amount of something. It has a limit. The infinite is that which has no limits and so cannot be quantified. Therefore, not a quantity as not quantifiable.
2. Infinity is not limited to numbers (because it has no limit). if you say infinity is only a number you have broken the law of none contradiction as you have put a limit on something defined as having no limits. Therefore, infinity contains numbers but numbers do not contain infinity as numbers are limited to number.
Math is non-empirical. This is why no discovery in science has ever overturned a theorem.
Consider the sentence, "'Snow' has four letters and is cold". Snow is mentioned, but that mention is not something that can be cold, only the snow itself is. So the "is cold" predication is a category mistake (specifically, a use-mention error). However we could apply an interpretive rule and say that in such circumstances, the "is cold" predication disquotes the mention and so is really saying that snow is cold. This would unpack as, "'Snow' has four letters and snow is cold". Such a rule would tolerate the above sentence and allow it to be truth-apt.
Now compare that with "'2+2=4' has three numbers in it and is true". My claim is that the mention of '2+2=4' is not something that can be true, but the expression (or use) of '2+2=4' is. If so, then the truth-predication disquotes the mentioned expression and uses it. This would unpack as, "'2+2=4' has three numbers in it and 2+2=4".
Since "This sentence is an English sentence" doesn't contain a truth-predicate, the referring expression is only mentioned, not used (i.e., only the surface aspects of the sentence are referred to). Whereas in the liar sentence, the truth-predication disquotes the mention and uses the referring expression. Thus it is cyclic.
Self-evidence of a claim has a dark mirror in the questions it seeks to silence.
Ryle is arguing against cyclic expressions (fillings of their own namely-riders), but he is not arguing against mentions of the referring expression (where quotation-marks have to be employed). As he says in the same paper:
Yes, an infinite expansion results if the subject is always a truth-evaluable expression (as is indicated with the nested brackets). But that's not how we ordinarily use that sentence. Instead the referring expression is only mentioned (which I unpacked and indicated with quotation-marks in my previous post), not used as an expression. That's the use-mention distinction.
As explained in my previous post, that specific use would result in a category mistake for the liar sentence, since a mention of the referring expression would not be truth predicable.
For the outer 'false' to be predicable of the inner sentence, the inner sentence must be an expression. But since it is only being mentioned, it doesn't support truth predication.
That's fine. There's nothing wrong with nested expressions. The problems only arise with cyclic expressions.
The issue as I see it is not impredication, but whether the sentences in question have a truth-apt use.
The same inattention to grammar is the source of such paradoxes as 'the Liar ', 'the Class of Classes ...' and 'Impredicability'. — Gilbert Ryle
"This sentence is an English sentence" would ordinarily be unpacked as, "The sentence 'This sentence is an English sentence' is an English sentence". The inner sentence is not being used as an expression but is only being mentioned. If it were used as an expression, then infinite recursion would result.
Now consider a similar unpacking for the liar sentence, "The sentence 'This sentence is false' is false". For the outer 'false' to be predicable of the inner sentence, the inner sentence must be an expression. But since it is only being mentioned, it doesn't support truth predication. So it's a category mistake. Whether a category mistake or an infinite recursion, no truth-apt use is available for the liar sentence.
The same inattention to grammar is the source of such paradoxes as 'the Liar ', 'the Class of Classes ...' and 'Impredicability' (Ryle)
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Thus the liar sentence is not truth-apt. It doesn't actually assert anything
I would say that over time the hierarchy always shifts towards competency. This doesn't mean that there cannot be cases, some of them even for hundreds of years, when incompetent people maintain positions of power. That is quite frequent - look at Justin Trudeau - no competency, he's there just because of his father.
Many people look at things in this way, but it's just a short-term thing. It's not sustainable - and when I say sustainable, I'm referring to the fact that it's not sustainable over many generations.
Regarding the concrete example you provided. Statistically, people may stay within their income bracket, but that isn't what interests me. What interests me is the possibility of moving from one income bracket to another. That isn't something that you can assess statistically because it presupposes that all people (or at least most people) are willing to do what it takes and desire to move from one income bracket to another. And of course, this just isn't true. Most people grow comfortable in their income bracket over time, and this is a personal observation I've made.
I never said competency entails privilege. But competency naturally translates in greater power to influence your surrounding environment. That's why things fell apart in the Eastern Soviet bloc, because people were promoted solely based on political connections and ideological reasons, and not on competence. Such a structure cannot survive in the long-run.
Yes, the Marxists claim that the bourgeoisie maintain a certain social and economic structure because they are the ones who have power, and since it benefits them, they use their power in that direction. But as Peterson explains in the video, it's not power, but competency, that allows them to be the privileged social class. There is a hierarchy, hierarchies cannot be eliminated, and that hierarchy is based on competency. The bourgeois are at the top because they have shown themselves to be the most competent at taking care of their society.
Yeah, I excluded it because corruption is a problem and needs to be addressed separately from whether or not someone is successful in their business. Someone can be successful without being corrupt.
How naive. Naturally, when challenged, the claim is asserted by proponents to be innocently descriptive, but not a single person who uses it fails to either implicitly or explicitly advance various prescriptive claims.
To believe in and invoke white privilege is the polite, academic way to be a racist against white people. I haven't watched the video, but inasmuch as Peterson makes this claim, which I have heard him make in other videos, he is absolutely right.
What they both have in common is that the full sentence appears truth-apt (since it has a subject and a predicate) until, of course, the content of the sentence is analyzed and the subject is found to not support the predication. It's a category mistake (as Michael earlier noted).
Then we are using "grounded" in a different way. I mean that the subject is resolved and supports the predication, whatever it may be. In this case, the subject doesn't support the grounded predication and so the sentence isn't truth-apt. (BTW, this was essentially Gilbert Ryle's solution to the liar-style sentences rather than Kripke's.)
Self-reference is generally fine. For example, "this sentence has ten words". The truth or falsity of this doesn't depend on the subject being truth-apt, only that its words can be counted. That is a valid predication and so the sentence is truth-apt.
If you agree the sentence is ungrounded, that entails that it is true, which contradicts being ungrounded.
— MindForged
It doesn't entail that since the sentence doesn't support truth predication (because, in turn, the subject of the sentence doesn't support grounded predication). But you're treating it as if it does.
I think Kripke grants that the liar sentence is a meaningful assertion but that it just lacks a truth value (and so therefore has some third value). Whereas I am claiming that the liar sentence isn't a meaningful assertion at all because it fails to meet the logical criteria for one. A bit like the sentence "the tree is false".
That sentence fails for the same reason as the liar sentence. We can all agree that that sentence is ungrounded. But, being ungrounded, the sentence itself doesn't meet the logical criteria required for a meaningful assertion. So you can't then treat it as if it does.
That is, the sentence appears to be asserting something about itself. But it is not, despite surface appearances. Whereas our assertions about the sentence are truth-apt as long as we're not asserting that the sentence is true or false.
That is the sense in which the liar, truth-teller and revenge paradoxes are like a mirage. There appears to be water there, and it makes us think about water, but appearances are sometimes deceiving. There's no water there.
Sure, the point is that it's a lie. There is no state of affairs as Marxism describes it.
Yes, the Marxists claim that the bourgeoisie maintain a certain social and economic structure because they are the ones who have power, and since it benefits them, they use their power in that direction. But as Peterson explains in the video, it's not power, but competency, that allows them to be the privileged social class. There is a hierarchy, hierarchies cannot be eliminated, and that hierarchy is based on competency. The bourgeois are at the top because they have shown themselves to be the most competent at taking care of their society. In a way, excluding at the moment corruption, the way to get rich is by selling a lot of goods to a lot of people - which means adding value to the world, giving people what they want.
With regards to Marx's theories, Peterson takes the underlying fault to be the fact that he pits the proletariat against the bourgeois, making one into the oppressed and the other into the oppressor. This sort of language is precisely what allows all faults and sufferings of the world to be cast at the feet of the oppressors - they are responsible, that's why the world is bad. Whereas Peterson's point is that life is suffering, and we are not responsible for that - it's just the nature of life.
You said that "True(x)" and "x" have the same truth value. I assume "True(x)" means "'x' is true"? So "'x' is true" and "x" have the same truth value. Which means that "'x' is true" is true iff "x" is true.
But the T-schema is saying more than this. It's trying to explain what it means to have a truth-value.
The T-schema is an attempt to define truth. What do we mean when we say that a sentence is true? To say that "'T' is true" is true if "T" is true, which you are claiming is what the T-schema is saying, doesn't answer this question.
I took the T-schema and so said that "True(x)" has the same truth-value as just asserting that "x".
But take a sentence like "this sentence is true". We can use the T-schema to say that "'this sentence is true' is true" means "this sentence is true", but what does "this sentence is true" mean? Unlike "it is raining", we can't refer to some empirical state of affairs. The "is true" in "this sentence is true" isn't saying anything. Just as the "is false" in "this sentence is false" isn't saying anything. Truth-predication in these cases is a category error.
Yes, but it doesn't ever give you a grounded truth-apt subject. To determine the truth of the liar sentence first requires determining the truth of the subject ("This sentence"). That requires substitution with the original liar sentence and so on ad infinitum. There is no final truth-apt subject to ground the liar sentence.
So the liar sentence fails to assert anything about a truth-apt subject and so isn't itself truth-apt. If you disagree, then what do you think is being asserted?
Are you sure it can do that validly? The linked page states the lemma with a premise that restricts it to first-order languages, which I expect would rule out its use in a T-schema environment which I believe is higher order.
I was going to check the proof to see if that premise is actually used, but I got tired and didn't, so I'm hoping maybe somebody else did. It would be unusual to state a premise that was not used though.
Tarski proved a stronger theorem than the one stated above, using an entirely syntactical method. The resulting theorem applies to any formal language with negation, and with sufficient capability for self-reference that the diagonal lemma holds. First-order arithmetic satisfies these preconditions, but the theorem applies to much more general formal systems.