## Search found 358 matches

Thu Nov 16, 2017 10:21 pm
Forum: Logic and Philosophy of Mathematics
Topic: Cyclic numbers
Replies: 32
Views: 1005

### Re: Cyclic numbers

I think you'll find it is a Hegelian re-education camp. Ah, now it all makes sense. I wish that if people are arguing from a particular viewpoint, they'd simply say so. If @Eodnhoj7 would have begun by saying, "From a Hegelian perspective ..." I'd have simply kept my yap shut, since I don't know mu...
Wed Nov 15, 2017 10:28 pm
Forum: Logic and Philosophy of Mathematics
Topic: Cyclic numbers
Replies: 32
Views: 1005

### Re: Cyclic numbers

Yes, the symbol "≡" translates into english as "is congruent to" which also translates as "mirror image" https://en.wikipedia.org/wiki/Congruence_(geometry). The correct Wiki link for the congruence of integers is here. https://en.wikipedia.org/wiki/Modular_arithmetic Instead, you linked the geomet...
Wed Nov 15, 2017 9:26 pm
Forum: Logic and Philosophy of Mathematics
Topic: How much freedom does math have?
Replies: 7
Views: 125

### Re: How much freedom does math have?

The infinity part we can easily grasp. But the -1/12 is counter-intuitive. One can watch the following Youtube videos to know what it is about ... To understand this one should study complex analysis and in particular the subject of analytic continuation to understand the context of this unfortunat...
Tue Nov 14, 2017 11:00 pm
Forum: Logic and Philosophy of Mathematics
Topic: Cyclic numbers
Replies: 32
Views: 1005

### Re: Cyclic numbers

If mathematics can be "sensed" as you suppose, than it has a subjective nature. Strictly speaking the axioms of modern math don't make sense. I don't necessarily disagree with you here. However earlier, you were saying that your exposition is standard math. You emphasized this by linking to the Wik...
Tue Nov 14, 2017 10:02 pm
Forum: Logic and Philosophy of Mathematics
Topic: Cyclic numbers
Replies: 32
Views: 1005

### Re: Cyclic numbers

1 "reflects" or "directs itself into itself". In doing this a cycle is achieved through reflection which in turn propogates further numbers as extensions of itself. That's just word salad. But one question occurs to me. Are you doing math, metaphysics, or poetry? Perhaps I'm taking you too literall...
Tue Nov 14, 2017 9:31 pm
Forum: Logic and Philosophy of Mathematics
Topic: Cyclic numbers
Replies: 32
Views: 1005

### Re: Cyclic numbers

What about it does not make sense exactly about reflection? You haven't defined it or said what it means. The nearest I can figure is that by reflection you mean that whole numbers come in +/- pairs, so that given 1 we also have -1. The usual terminology is that 1 and -1 are the additive inverses o...
Tue Nov 14, 2017 9:24 pm
Forum: Logic and Philosophy of Mathematics
Topic: Cyclic numbers
Replies: 32
Views: 1005

### Re: Cyclic numbers

Viveka wrote:
Tue Nov 14, 2017 8:36 pm
Very interesting!
Glad you find that interesting. The complex n-th roots of 1 form a regular n-gon. That relates ancient geometry to the modern theory of complex numbers.
Tue Nov 14, 2017 9:20 pm
Forum: Logic and Philosophy of Mathematics
Topic: Cyclic numbers
Replies: 32
Views: 1005

### Re: Cyclic numbers

]I assumed it was public knowledge: https://en.wikipedia.org/wiki/Mathematical_HTML. Regardless of translation that is the meaning. If you said these are your own private ideas and notation and that you have a hard time explaining them to people, that would be believable. Your ideas and notation ar...
Tue Nov 14, 2017 7:53 pm
Forum: Logic and Philosophy of Mathematics
Topic: Cyclic numbers
Replies: 32
Views: 1005

### Re: Cyclic numbers

1 + 3 = 4 translates really as +1 ≡ +3 ≅ +4 or +1 ≡ (+1≡+1≡+1) ≅ (+1 ≡ +1 ≡ +1 ≡ +1) I'm making an effort to try to relate your ideas to something in standard math that makes sense to me. Now, 1 + 3 = 4 I understand. Can you define your use of the symbols ≡ and ≅? When you say +1 ≡ +3 ≅ +4 what do ...
Mon Nov 13, 2017 11:19 pm
Forum: Logic and Philosophy of Mathematics
Topic: Cyclic numbers
Replies: 32
Views: 1005

### Re: Cyclic numbers

Through dualities as "rotations" ... You might be interested in the roots of unity . These are the complex n-th roots of 1. As an example, consider the integers mod 4. These are the numbers 0, 1, 2, 3 with addition mod 4, meaning that the addition cycles around. So 2 + 2 = 0, 2 + 3 = 1, and so fort...
Sun Oct 29, 2017 5:31 am
Forum: Logic and Philosophy of Mathematics
Topic: Dividing Infinity
Replies: 10
Views: 298

### Re: Dividing Infinity

dividing infinity is why motion is impossible (at least according to Zeno) He might be right. Perhaps we live in a block universe. Time is an illusion. All the points of spacetime exist "at the same time" in a 4D rectangle whose points are specified by three spatial and one temporal dimension. The ...
Sat Oct 28, 2017 5:30 pm
Forum: Logic and Philosophy of Mathematics
Topic: Dividing Infinity
Replies: 10
Views: 298

### Re: Dividing Infinity

Not necessarily, I envisioned this concept of infinity from the perspective of Omar Khayyam's Moving Finger. You mean: “The Moving Finger writes; and, having writ, Moves on: nor all thy Piety nor Wit Shall lure it back to cancel half a Line, Nor all thy Tears wash out a Word of it.” Clearly old Oma...
Sat Oct 28, 2017 1:59 am
Forum: Logic and Philosophy of Mathematics
Topic: Dividing Infinity
Replies: 10
Views: 298

### Re: Dividing Infinity

If I took infinity, traced my finger half way out on it, and cut it equally in half, and added that quantity of 'one' to one of the two sides, would the two sides be equal in size, or would the one with 'one' added be bigger? Both sides would still be the same. As an example, think of the real numb...
Sat Oct 28, 2017 1:55 am
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 519

### Re: predication and genus

With all due respect, going into the modern distinctions between sets and classes and the likes, is irrelevant and misses the point here. I fully agree. I'm hitting the nail with the only hammer I have. I wanted to mention that since I just made a long post along the same admittedly irrelevant line...
Sat Oct 28, 2017 1:20 am
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 519

### Re: predication and genus

@Arising_uk, I want to mention something that might put what follows into context. In grade school they tell us that a set is a "collection of objects." That leads us into error, as shown by Russell's paradox. Rather, a set is a very particular technical gadget in set theory. In fact if you ask a se...