## 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

### Re: √5 and Phi

nothing wrote: Tue Feb 18, 2020 3:35 pm Comparing 47/47 to π is clearly a false comparison: 47 is not transcendental.
You're multiplying the numerator and denominator of the definition of phi by pi. That is, you're multiplying phi by pi/pi; which is also not transcendental. It's 1.
Mon Feb 17, 2020 8:19 am
Forum: Logic and Philosophy of Mathematics
Topic: √5 and Phi
Replies: 163
Views: 6971

### Re: √5 and Phi

Skepdick wrote: Mon Feb 17, 2020 7:32 am I would agree to your terminology if it made any rational sense. But it doesn't.
It's not my terminology. It's the terminology of Turing (1936) and universally adopted by the entire field of computer science ever since.

I didn't read any farther.
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...