Michael

See Cantor's diagonal argument, which proved that there are higher-order cardinal numbers. You've already admitted that you're not a mathematician, so...

Let A be the set of all integers. Let B be the set of all positive integers. Every member of B is also a member of A, but some members of A are not me...

Yes, that's the premise. Let R be the set of all sets that are not members of themselves. This is the Russell set. If R is not a member of itself then...

Yes. Given the axiom schema of unrestricted comprehension there exists a set B whose members are sets that are not members of themselves. This leads t...

In Russell's paradox, ? is "sets that are not members of themselves".

It says that A and B are equal if every member of A is a member of B and every member of B is a member of A.

The axiom of extensionality Given any set A and any set B, if for every set X, X is a member of A if and only if X is a member of B, then A is equal t...

So you understand the below? Axiom of extensionality: {\displaystyle \forall x\,\forall y\,(\forall z\,(z\in x\iff z\in y)\implies x=y)} Axiom schema ...

Yes, the axiom of regularity and the axiom of pairing entail that no set is an element of itself.

Russell's paradox is a mathematical proof that the axiom schema of unrestricted comprehension leads to a contradiction. As such, early naive set theor...

Curry's paradox is an interesting extension of this. 1. Let (a) be the sentence "if this sentence is true then Germany borders China" 2. If (a) is tru...

Except you can’t break it down that way because “This sentence contains 36 characters” is true but “The sentence in point A contains 36 characters” is...

This sentence contains 36 characters Should we break the above sentence into the below? A. This is a sentence B. The sentence in point A contains 36 c...

What determines the right way? Is it how most speakers of the language use the word? If the vast majority of Arabic speakers use the word "??????" to ...

The argument the other person made was that the meaning of a word is determined by the things it is used to describe. The things Arabic speakers descr...

Let's assume the correspondence theory of truth: that a sentence is true is that it corresponds to a fact. We can use this to rephrase the liar senten...

I think I understand @"flannel jesus"'s point, and that it can be explained like this: A box contains 100 balls. Either all 100 are blue or 1 is blue ...

Your approach seems to be the same as that of Kripke. See here. Liar sentences are "ungrounded". Them being true or false isn't meaningful. I think we...

My mistake.

Either "John is approaching" is true or "John is not approaching" is true. This doesn't entail that I am certain that "John is approaching" is true.

Perhaps a distinction needs to be made between firsthand knowledge and secondhand knowledge. I do not have firsthand knowledge of history, for example...

Moral non-cognitivists will say that a sentence such as "this is wrong" actually means something like "don't do this", and that the sentence "don't do...

You didn't just say that. You also said:

That biological men are nine times more likely than biological women to sexually abuse children isn't that biological men are likely to sexually abuse...

With my post above in mind, consider a slightly more realistic scenario: I knowingly have COVID, but nonetheless attend a party. Someone else catches ...

I'm not sure it's specifically meant as an analogy, but as a reductio ad absurdum against the premise that one person is obligated to save the life of...

So just sexism. Biological men must be assumed to be child-molesting paedophiles. :roll:

So you're a transphobe, got it. Would you assume that a 50 year old gay man using the men's changing room is perving on any 13 year old boys who also ...

Is your concern their age or that they're transgender? Would you mind if it were a 50 year old cisgender woman, or a 16 year old transgender woman?

That biological men are more likely to have nefarious motives than biological women isn't that there is a good reason to believe that a transfemme swi...

Is your concern her age, that she's trans, that she's competing, or that she uses the women's changing room? Regarding the competition, it is an open ...

It's useful to separate a moral theory out into its constituent parts. There are, roughly speaking, three considerations when discussing meta ethics: ...

If some moral propositions are objectively true then: a) moral propositions are truth-apt and b) some moral propositions are true.

Would that I could.

I don't see how that follows. That's exactly what Russell was proving.

He can't do that for the Georgia case.

The Russell set is the set of all sets that are not members of themselves.

Thanks, Marco.

Self-Sacrifice and the Trolley Problem, Ezio Di Nucci

This is the First Amendment: Given that this philosophy forum isn't the United States Congress, the answer is no. Also, as per the Terms of Service:

What is true is that a 50 year old transgender woman was allowed to compete in the women’s events for athletes 16 and older.

What does this mean if not "some moral propositions are objectively true"?

The golden rule? Do unto others as you would have them do unto you.

Well, Trump isn't, so they're just applying the golden rule.

Given that I haven't said what you've accused me of saying, your questions are misplaced.

Nowhere in saying "some people use the word 'good' to describe chastity" am I saying anything about flourishing.

It's not a strange thing. Some people use the word "good" to describe chastity. It doesn't follow that "good" means "chaste".

I don't agree with that. There's a difference between using a word to mean something and using a word to describe something. The latter does not entai...

That's why I said if there's no Arabic word that means the same thing as 'moral' then they might not have a conception of good. Do you have a concepti...

Because this is a contradiction: 1. The meaning of a word is determined by the things it is used to describe 2. The words "moral" and "??????" mean th...