Philosophy Now Forum

I was already aware of the chord example you brought up. Some patterns are finite and others are infinite. I consider patterns as guidelines for further exploration which can lead to exciting math. Which branches of math appeal to you? Unpatterns. Mathematical objects that have no patterns at all. ...

Now you're contradicting yourself. You're saying the first five numbers make a pattern (which I agree with). Next you're saying the 6th number breaks the pattern and is just a coincidence. But the pattern must exist to be broken, otherwise it can't be broken. So in your example, you do have a patte...

To mention, when you said "tiny-data set", that implies you know what I'm talking about and you agree with me there is a pattern. How do you figure that? I don't know what you're talking about, I denied there's a pattern, I pointed out that math is full of numerical coincidences, and I li...

1! = 1 3! = 2•3 5! = 4•5•6 7! = 7•8•9•10 The dot means times. This pattern doesn't extend beyond 7! What pattern is that? Your expression for 3! starts with 2; your expression for 5! starts with 4; but your expression for 7! starts with 7, not 6. And your expression for 1! starts with 1, not 0. The...

Symptom of a broken system. The bipartisan consensus that's had us stuck in half a dozen wars in the Middle East and North Africa for 15 years and no end in sight. The permanent welfare/warfare state living on borrowed and printed money. It's gotten so bad that even the public is catching on. Trump ...

I'm currently learning Spanish (not very well sad to say) and the word for language is idioma; and the word for idiom is modismo. Go figure.

I was interested in the later bits on skepticism and the alternative number systems where it doesn't equal 1. Oh I see. Well this fits in with something I keep saying. If we defined the symbol .999... to mean 47, then since 47 is different than 1, it must be that .999... ≠ 1. Of course all these al...

Somehow the modern world turned into a William Gibson novel.

This seems to cover the general discussion and points to where the confusions may lie. https://en.wikipedia.org/wiki/0.999... The skepticism part seems apt but it appears that one can have 0.999... less then 1 if one is prepared to give up some very useful parts of mathematics and even then this ap...

0.1 < 0.2 < 0.3 < 0.4 < 0.5 < 0.6 < 0.7 < 0.8 < 0.9 < 0.99 < 0.999 < 0.9999 all have a units digit of 0, all are less than one. All real numbers with a units digit of 0 are less than one. 0.9999... < 1 It's over '<' changes to '<=' in the limit. You need to get your money back from whoever taught y...

Am I required to weigh in here? Surreals, ok. This looks promising Promising what? I confess I'm at a loss to follow your point. Promising a dramatic refutation of the previous two centuries of math? I'd say you've done no such thing. Perhaps if you stated a clear thesis or argument, we could analyz...

Hobbes' Choice wrote: I'm sure you will be able to make up some shit after a break. How about making up how you saw a square circle for an encore?

Why do people say square circles are impossible? The unit circle is a square in the taxicab metric. https://en.wikipedia.org/wiki/Taxicab_geometry

a shepherd might well have just picked up different stones and for each sheep that went through to pasture a stone was assigned and on the way back a stone discarded(a primitive method?) to count that all the sheep were there A beautiful illustration of the idea of one-to-one correspondence, the ba...

Sorry, I'm loving this thread as whilst I can understand very little of it I'm enjoying the little philosophy of mathematics that pops up that I can understand and I'm really scared to be breaking in here Oh no please by all means jump in. We need fresh meat. I'd be happy to explain any points of c...

My comments on the rest of your most recent post. I tried looking for it, but can't find it. I either used another alias ... Perhaps you and I are the only two people on the Internet and everyone else is one of our many aliases. But if you're not saying it's hyperreals/reals or nothing then we can j...