## Search found 889 matches

- Fri Feb 14, 2020 1:42 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

It is designed as a universal 'orientation' system that tends away from all suffering and towards all knowledge. If applied to the spiral, the pentagram has two orientation "poles" with each being some configuration between the two: knowledge and belief-based ignorance. This is beyond my pay grade....

- Fri Feb 14, 2020 1:26 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

I've had a bit of a rough day so I am not on my best game choosing my words - if you pick up on any irritability/crankiness in my tone - it's not you.... No worries. You wrote a long post and I'll only respond to a little of it today, but hopefully it's the heart of the matter. So it seems to me th...

- Wed Feb 12, 2020 7:30 pm
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

No, as I don't want or expect anyone here to take me seriously - I don't even! Ah. Sorry I took the trouble then. I am aware of Euler's but do not see e^(2πi)=1 e^(2pi i) = cos 2pi + i sin 2pi = 1 + 0 = 1. If x is a real number, the function f(x) = e^(ix) wraps the real line around the unit circle ...

- Wed Feb 12, 2020 3:30 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

I figured you'd click on the blue up-arrow next to the quote which will take you to the relevant post (so i don't spam the thread again). Duh, got it!! Will check it out. But every time you write down a number - whether to paper; or to memory - you are handling a representation. Of course. But the ...

- Wed Feb 12, 2020 1:56 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

I'm afraid I see no polynomial with integer coefficients here. Do you? Honestly yes but that is because I do not abide by the restrictions of what a 'polynomial' is (or can be) according to mathematical orthodoxy. Ok that's fine. But then do this. Say, "A standard polynomial is such and so. But for...

- Tue Feb 11, 2020 12:48 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

The relevant quote is in this post: (...) You seem to have omitted the quote. And so the implication seems to be exactly that. Representation (base, choice in precision) matters. In practice, if not conceptually or symbolically. It could never matter in the question of whether a real number is comp...

- Tue Feb 11, 2020 12:38 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

π actually can be the solution to a polynomial with integer coefficients: https://i.postimg.cc/0QtRWvtn/base-of-pi.jpg I'm afraid I see no polynomial with integer coefficients here. Do you? "2π" does not arithmetically equal '1', True. If you don't mean equality you should try to say what it is you...

- Mon Feb 10, 2020 4:35 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

Thanks for the article, looks good. I know a bit about constructive math. Not only from the computational viewpoint but also from higher category theory and topos theory in abstract algebra. Non-constructivism is all the rage these days. It's good to remember that foundations aren't cage matches to...

- Mon Feb 10, 2020 12:49 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

Yes it's the standard definition in the computer science curriculum. And that would be dandy, but I side-stepped academia. I am an autodidact. I understand computer science (engineering?) by having done it for 20+ years. Now that I am reading the theory, I am joining all the dots to the practice. Ok.

- Mon Feb 10, 2020 12:41 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

Didn't you claim to have read Turing 1936? So when you say you don't know the standard definition of a computable number, you are, shall we say, dissembling. I have read it. You have quoted it. I have that definition committed to memory. In 2020 is that still what you refer to as "the standard defi...

- Mon Feb 10, 2020 12:35 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

- Mon Feb 10, 2020 12:13 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

You serious? Am I genuinely misconstruing you? Ok. My mistake then. And I understand why. Your prior is skewed, and that's totally my fault. I'm simply using the standard definitions. Instead of you saying, "Pi isn't computable because it never ends," why not just say, "Pi is Turing-computable but ...

- Mon Feb 10, 2020 12:08 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

- Mon Feb 10, 2020 12:03 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**

### Re: √5 and Phi

Uh, yeah, fuck you too. Congratulations. You hijacked the thread and got a rise out of me. Pretty clever to start out with sensible mathematical questions about algebraic numbers, then subtly change the subject. Troll grate A-. Not bad at all.

- Sun Feb 09, 2020 11:38 pm
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**113** - Views:
**1082**