Tristan L

Why should they be? They are propositions like others, and they neatly show the difference between LEM and PB since the former applies to them but the...

Actually, I think not. If p = (it will rain tomorrow), then (p v ~p) is true today because of LEM, but (TRUE(p) v TRUE(~p)) is not true and even untru...

Right. Also right, and since it is a law, it states that this is true. Actually no, if my understanding is right. The proposition (p v ~p) is weaker t...

Not really, I think. While you've understood PB rightly, your version of LEM is too strong, for it's simply another way to state PB. That's because fa...

But aren't the surreals a proper class rather than a set?

Difference is the negation of sameness, isn’t it? The issue at hand is that if negation is the same as affirmation, then even if you say that negation...

Let’s call this “Alice’s world”. Let’s call this “Bob’s world”. I feel exactly the same; I’m fascinated and confused by the whole matter, which is why...

1. 0\cdot \infty = 0 \because \forall x \colon 0 \cdot x = 0 2. \therefore \frac{1}{0} > \infty

I had forgotten one major goal of mine. Let’s recall what Charlie said in my second major comment in this thread. The major goal I had forgotten was t...

No. From the start, I meant Bob to use PSAN thoroughly on all meta-levels. The proof is that in my starter post, Bob already said that negation is the...

Bob: “Alice has already said that, and I have already told her that she – like you – is fully right in saying that my argument is not circular.” Yes, ...

Bob: “Yes. Affirmation affirms its sameness as negation, which is possible.”

Bob: “Exactly – they are not the same thing. Since yes = no, that means that they are the same thing.”

Bob: “Here’s a proof: 1. (Yes = no) or not(yes = no) (by the Law of the Excluded Middle) 2. (Yes = no) or (yes = no) (by PSAN) 3. Yes = no (by the Rul...

Yes. Bob: “In fact, PSAN allows me to say anything I like and be right. Anything at all. That’s because by PSAN, all unary logical operators are one a...

Bob: “Yes, there’s no difference between the two. That’s because there obviously is a difference between being happy and not being happy, which by PSA...

Bob: “Yes, I’m indeed disagreeing with you, th.i. agreeing with you. I’ve already said that: I’m disagreeing with you in the sense that I negate somet...

Yes, he mis-disquotes her, but he doesn’t mis-quote her. I’m not changing my stance on that, for I agree with you on that point, as does Alice. Howeve...

But he claims that certain pairs of sentences have the same meaning which Alice, you and I think have opposite meanings, doesn’t he? Where and how exa...

Alice can say that to make that point. She can also say it to beat Bob at his own game and get him to ‘willingly’ let her slap him for rooting her pho...

Bob: “It means the same as ‘yes’.” Bob: “Precisely. It’s true that there is no difference between my being happy and my not being happy. That’s why .....

First off: I myself am quite confused by my own question. One way to see it goes thus: Bob claims that words or phrases like “no”, “not”, “is not” and...

What would a Hegelian say about this whole matter?

We aren’t literally sliding back the odd naturals. After all, they’re abstract entitities and thus can’t be changed. What we can very easily prove is ...

By the way, Charlie just told me that Alice came up with a smart response :wink:: Alice: “Wait a minute, Charlie! You said that I should just let Bob ...

, I think it would be better for us to discuss my first answer before we get to this one. Still, we shouldn’t forget to come to it later. Charlie: “Tr...

This comment of mine is my first answer to . I’d like us to talk about my next comment only later, that is, after I’ve made sure that I understand you...

It's true that Schefer's books currently only exist in the original German as far as I know, but the price is likely a mistake. Platons unsagbare Erfa...

Define f as the function from the set of all naturals to the set of all odd naturals which sends each natural n to the odd natural 2n+1. Do you agree ...

Bob: “It matters to me in the sense that I would be happy if you say that affirmation and negation are the same, and not happy otherwise. By the way, ...

Charlie forwarded your question to the twins, and here are their answers: Alice: “Of course it would matter to me. If you said ‘yes, negation is the s...

Firstly to clarify: The whole numbers are the numbers 0, 1, -1, 2, -2, a.s.o. (and so on), and the natural numbers are the not-negative whole numbes 0...

The proof that sqrt(2) is irrational and thus not a rational multiple of 1/2 doesn't depend on the existence of uncountable infinities or their differ...

Here is where your mistake lies. The numbers a and b can become ever bigger as the string gets longer. When the string gets endlessly long, so can the...

According to Christina Schefer, Plato’s Good-One is an image of the god Apollo. For example, see page 135 of her book Platons unsagbare Erfahrung “Pla...

Let me tell you what happened next with our friends: The mother of the twins turned to Charlie and asked, “What are we to make of this?” “Let me think...

:up: Also :up:

So you're taking Bob's side, right?