EnPassant

https://en.wikipedia.org/wiki/Limit_(mathematics)#:~:text=In%20mathematics%2C%20a%20limit%20is,)%20%22approaches%22%20some%20value.&text=The%20concept...

Yes of course. I have not said it is not the limit. I said 0.999... is not equal to 1 if we are talking about a literal sum. If we are talking about a...

Only according to a strict interpretation of the ' = ' sign: 1 is not the sum. It is the limit of the sum. So 0.999... = 1 does not mean it is literal...

The first post on this math forum explains how to us the math tags. https://thephilosophyforum.com/discussion/5224/mathjax-tutorial-typeset-logic-neat...

I just left it out for brevity. I'm sure you know what i mean. Ok, I'll accept that. But what we are talking about here is subtle and the " = " sign i...

What is the difference between \sum = x and lim \sum = x ?

It depends on how you read these expressions. I'll grant you that 0.999... can be identical to the limit of the series if that's how you interpret it....

Yes, but that is the limit which is different from equals. When you say 1 = you are saying 1 = the limit not simply 1 = It should be written lim \sum ...

Nice. But it still begs the question: what does it mean to say x = 0.999...? It means an infinity of 9s but what can that mean when infinity is not a ...

Note that in the article cited in the op they don't write \sum_{i=1}^{\infty} etc = x They write lim \sum_{i=1}^{\infty} etc = x These are two differe...

I have read through it. These are mathematical expressions and as such they are symbols. They represent infinity. But mathematicians were aware of the...

Infinitesimals have never really been understood rigorously. Have you heard of Berkeley's "Ghosts of departed quantities"? Below 'Fluxions' means infi...

Yes, I understand what you are saying. But if infinity is not a number how can you have an infinity "of"?

.999... could not be the limit. To write the limit you'd have to have .999999999999999999999999999999999999999999999999999 - an infinity of 9s. And we...

I have no idea!!! I suspect there is 'an infinity of 3s' but what does that mean? That's the crux of the biscuit. I don't know because I don't know if...

I don't think so. .999... describes the series. The limit of it is infinitely far away.

But the problem is what does .999... mean? How many 9s are we talking about? An infinity of them, of course. But what is an infinity 'of' something?

True. But they don't mean .999... = 1. They mean the Limit of the infinite sum = 1. There's a difference. The sum being 9/10 + 9/100 + 9/1000 + ...

But it has to do with the way language is being used. 'The total sum' is not the same thing as 'equals'. The total sum cannot be explicitly demonstrat...

It comes down to how the language is used .9999... equals 1. This is not true. In calculus one is only allowed to say that a series converges to a lim...

Thought is being and being is thought. In our modern ossified world we tend to believe thinking is just abstract machinations and 'logic' and such thi...

Look at it this way. If we surmise that what we perceive is analogous to what is really out there we may be able to make progress. For example, if we ...

Isn't child abuse perverse? I don't see why one's subjective point of view needs to be meaningless. The sadist is acting out evil. The masochist wants...

That depends on one's subjective point of view.

Isn't this exactly what Lazerowitz is doing? Talking himself into his own truth? Maybe all philosophers do that, lol.

Sexuality is spirituality in bodily terms. Sexual distortion is spiritual distortion. Think about it...

Masochism is a distortion of spirituality, not the other way round.

It means thinking about why religion tells us how to live. This is what Buddhism means by 'wise living'. But, of course, sometimes religion is corrupt...

The hope is that it would lead to wise obedience. Slavish obedience is not a good thing. Obedience should be understood rather than rejected at face v...

That would be false or misguided obedience.

Yes, but obedience to someone else can also be a good thing if that obedience has a purpose. An athlete needs to listen to and obey the trainer. Music...

It depends on what you mean by obedience. Obedience is essential for development. eg someone practicing music or art must have great discipline/obedie...

In our simple human definition of being, yes. God is energy and being. Space is God. There is nowhere where God is not (space is no-thing but not noth...

The existence of the good as evidence for God's existence is hard to argue with. But yes, what is the good? Ultimately the good promotes life and bein...

That's Higgs theory; mass is a slowing down of energy. Mass and matter are not substances, they are processes.

\exists x = \frac{1}{a_1^\frac{p - 1}{2}(mod p)} such that x = \pm 1 {\sqrt {ab \pm c} \over \sqrt{x/y}} \pm 1 a \equiv b (mod m) \phi = \frac {1}{1 +...

Shouldn't that be 'cause'? Corruption moves away from the good which is love, life and being. Corruption moves towards hatred, death and non being. Th...

You sound like the opposite to a misanthrope; you believe in humanity and the fact that you see how people's behaviour is wrong shows you believe in s...

Well, that goes without saying. How can meaning exist outside a mind? I think he is talking about something slightly different here.

Schrodinger's Cat was not originally meant to be taken seriously. It was an illustration of the problems with emerging quantum mechanics at the time. ...

Patterns in mathematics are often simplifications. Also, some patterns apply in infinitely many situations. For example, if p is prime, ap leaves a re...

Ah. Thank you.

Thanks.

Where is that?

It is possible for both to suspend empathy. In fact, the psychopath is not devoid of empathy (that's almost an urban myth). The psychopath has repress...

This is an example of induction (observation) awakening our powers of deduction. Resulting in deducing the commutative nature of multiplication: 2 x 3...

Very nice. I had not seen that one before.

Thank you. Because good (being) exists, distortions of good exist. As St. Augustine said, evil is not a positive thing in itself. It is a lack of the ...

Numbers and the relationships between them are eternal truths. I'm sure God is aware of this. But math for God must be way beyond what we would even c...

True. The spanner on the hypotenuse is equal to the sum of the spanners on the other two sides.