## Search found 964 matches

- Wed Feb 19, 2020 1:35 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

There is a qualitative difference between 1+√5/2 and π+π√5/2π, You're missing parens. I assume you mean to claim that there is a difference between (1 + sqrt(5))/2 and (pi + pi sqrt(5)) / 2. But this is no different than claiming 1/2 and 2/4 have a qualitative difference. What difference is that ex...

- Tue Feb 18, 2020 9:05 pm
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

- Mon Feb 17, 2020 8:19 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

- Mon Feb 17, 2020 1:17 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

Yes I am aware, however π is not an ordinary constant like 47: coupling π to Φ generates the equivalent of a variable rotating base (π per half-rotation) coupled to the creative Φ ratio, along with all geometries intrinsic to it. I'm going to start a religion based on multiplying the definition of ...

- Sun Feb 16, 2020 11:53 pm
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

I don't accept your definition of "computability" ... It's not my definition. It's Turing's definition, and it's the standard definition in the field of computer science. I can't argue a point like this. There's no rational content. If you won't agree to use the same terminology everyone else uses,...

- Sun Feb 16, 2020 11:48 pm
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

(double post)

- Sun Feb 16, 2020 9:22 pm
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

That is how I interpret dichotomies. They present us with forks in the road - choices. And in so far as I am choosing X over Y I say that optimising for X. You're not reaching me here at all in this post. The practical distinction here is between sequential vs random access memory. O(N) read time, ...

- Sun Feb 16, 2020 7:12 pm
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

to say nothing of the discovery of those eggs in which the chicken embryo was further developed than simple unfertilized eggs I did not understand this at all. But it's ok. I myself have a perfectly clear experience of the number i, and you've met me online. So you've met at least one person with s...

- Sun Feb 16, 2020 5:30 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

I am not confident a general mathematician would implicitly understand the nuance of this, as it relates to number theory itself than anything else. To me it is clear that 1+√5/2 is not qualitatively equivalent to π+π√5/2π, as the latter implies a circle, whereas the former does not. I already poin...

- Sun Feb 16, 2020 3:51 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

I'll admit that I have not taken the level of math classes that you have, but as far as I understand, mathematics (like any language system) is a mental event. Interpretations of symbols is also a mental event. I do not doubt that you have direct mental experience of these numerical concepts... I'l...

- Sat Feb 15, 2020 3:38 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

I understand walking the circumference of a radius 1 circle about the origin counterclockwise, and making mental notes about theoretical position on a 2 dimensional plane in relation to all other points; but no, I don't equate spinning in empirical circles with imaginary mathematics... Have you see...

- Sat Feb 15, 2020 2:09 am
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

I have yet to meet anyone who has empirically experienced the square root of -1 I have. You have too. The complex number i is just a gadget that keeps track of how many times you made a counterclockwise quarter turn in the plane. If you're facing east that's 1 on the real line if you are in the usu...

- Fri Feb 14, 2020 11:26 pm
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

I agree with pretty much everything you said before this so I am not going to respond on any of it. For every Mathematical denotation there is a clear philosophical interpretation. I much prefer science/engineering to philosophy so I want to elaborate on WHY I think lazy evaluation matters to Mathe...

- Fri Feb 14, 2020 10:19 pm
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

π + π√5 ‾‾2π‾‾ = Φ But this is just a restatement of the defining property of Φ. You could plug in any real number whatsoever and it would still be true. You have (pi + pi sqrt(5) / 2pi = (pi(1 + sqrt(5))) / 2pi = (1 + sqrt(5)) / 2 = Φ. Just as the pi cancelled in the numerator and denominator; you...

- Fri Feb 14, 2020 10:18 pm
- Forum: Logic and Philosophy of Mathematics
- Topic: √5 and Phi
- Replies:
**163** - Views:
**6971**

### Re: √5 and Phi

π + π√5 ‾‾2π‾‾ = Φ But this is just a restatement of the defining property of Φ. You could plug in any real number whatsoever and it would still be true. You have (pi + pi sqrt(5) / 2pi = (pi(1 + sqrt(5))) / 2pi = (1 + sqrt(5)) / 2. Just as the pi cancelled in the numerator and denominator; you cou...