Saying goodbye to Phi? Goodbye to natural beauty?

I have a history in this blog of waxing mystical about the golden ratio.

However, there is a fair amount of literature debunking the prevalence of the golden ratio. Very notable is an essay linked on Reddit, Fibonacci Flim-Flam by Donald Simanek. It's enough to make one abandon the idea altogether. (And, it reinforces my primary reason not to get tattoos: in a single lifetime, no concept or image is so enduring that it retains its meaningfulness forever--not even my best attempt).

 This speaks to the danger of having too much mystical admiration for any one thing in nature, whether that be the mysterious origins of living tissue, the Big Bang, or the self-organizing properties of matter. Attach too much meaning to something, and then when it is swept out from underneath you, what do you have left to stand on?

This is part of the pathos of the debate between modern atheism and belief. The atheists correctly tear down the idols, and the believers, whose belief was founded so thoroughly on those idols (their allegedly bulletproof arguments), then lose their faith. Neither the believer nor the atheist had ever considered an appropriately transcendent understanding of God.

Now to be sure, my enthusiasm for nautilus shells was a careful enthusiasm. I was less rapt by the exact numbers than I was by the more abstract loveliness of nature--nature is not an equilibrium of halves, but an asymmetrical dynamo. Equality and balance are not synonyms; they are actually opposed. True balance involves complementarity and difference; equality causes inertia and stagnation. The nautilus expresses some of my earlier conviction in a symbolic form.

But Simanek's article nevertheless creates a vacuum of meaning. Maybe it is all just random after all.

But Simanek himself explains that this is not the case.

The reason f shows up in nature has to do with constraints of geometry upon the way organisms grow in size. Irrational numbers (those that cannot be expressed as a ratio of integers) are often revealed in this process. The well-known irrationals are Ö2, f, e, p and any multiples or products of them. To make matters more interesting, these are related. For example, phi is f = (Ö5 - 1)/2. And the Euler relation, eip = -1 relates e, i and p where i = Ö(-1). The natural processes that display irrationals are not governed or caused by f in order to achieve some desired purpose or result, but rather they are constrained by the geometry of the universe and the limitations imposed by that geometry on growth processes.

His point is not that nature is chaotic; quite the contrary, his point is that nature is supremely simple. The processes that develop into beautiful spirals--which follow logarithmic patterns if not Fibonacci patterns--are based on the internally consistent properties of the bodies in question. Their matter is self-organizing, and this process undergoes countless influences with varying degrees of impact, producing different results. From this point of view, natural objects are not "reaching towards" an ideal; their apparent patterns and self-replicating structure can be explained by purely material, immediate causes.

The human mind likes parsimony. We are satisfied when diverse phenomena can be explained by the least number of possible rules. Fibonacci mysticism and mundane scientific observation both offer parsimony, but only the latter offers an explanation for it. True, if all logarithmic spirals had golden proportions, our hearts would be all aflutter. But the diversity of observed ratios is neither disheartening nor a point for atheists. Christianity must be comfortable with the messiness of nature.

The real trouble with this world of ours is not that it is an unreasonable world, nor even that it is a reasonable one. The commonest kind of trouble is that it is nearly reasonable, but not quite. Life is not an illogicality; yet it is a trap for logicians. It looks just a little more mathematical and regular than it is; its exactitude is obvious, but its inexactitude is hidden; its wildness lies in wait. (GK Chesterton)

Thus, we should should not be discouraged because nautilus shells, vines,  don't often reflect the golden ratio.

This issue then becomes a platform to begin the conversation about the validity of teleogical thought. Teleology is thinking about nature in terms of its proper "ends", e.g., "This egg is a chicken egg because, left to its own devices, it will become a chicken."

Teleology has been rejected as true knowledge ever since Descartes. For science, things are explained by what immediately precedes them--not what they will become. But this discussion is for another time.

Budget problem solving

I have a confession to make: I'm a spender.

Looking at my spending for the last ten days--since the last time I've budgeted--I have overspent by 60%. That is, I hoped to spend $10/day on average, and I spent $16/day instead.

What is the primary culprit? Food. I eat out a lot, because I can't be arsed to prepare lunch before going to work. I think I'm eating cheaply, because I usually get a couple "chicken snack wraps" and a large iced tea from McD's for less than $5. But blowing half of my discretionary daily budget on lunch isn't actually economical. If I did that every day, I would be over budget because of other necessary expenses that come out of my discretionary pool--kitty litter, actual healthy groceries, and entertainment.

Now, my situation isn't dire--the $10/day allowance plan was meant to allow for extra spending when necessary. But I am determined to reign in that spending with some smart planning. By my reckoning, I have 22 days left in my July plan to recoup the $60 I've lost so far.

Simple division says that, to accomplish this, my daily allowance is now reduced to $7 and a quarter. My discretionary fund is now roughly $50/week. Keep in mind that this does not include gas--that's a separate pool. But it includes food, entertainment, and other expenses.

Here are the steps I'm going to take to stay within the budget:

1. Think in terms of weeks instead of days. Thinking in days gets me into trouble psychologically, because I get an inflated sense of spending power that makes fast food seem like a good deal, when it's not.
2. Plan meals. In the short term, I'm not going to change *when* I eat (that's a project I'll need your help with, Laura), but I'll change *what* I eat.
3. Carry cash, leave the cards at home.

Now, let's talk about food.

I don't eat crappy food because I enjoy it more than healthy food; I eat it because it's easy and it seems cheap at the time that I buy it.

The key to successful change is to make it as easy and as possible. I don't want this to be a major project. I want real progress, and if that means microscopic steps, then so be it.

I found a great place to start: a blog post, Eating Healthy for $3 a Day.

I have no intentions of slavishly obeying this post, but it gives me a place to start and allows me to make substitutions as I wish. If I wind up spending $5 day it will be a success.

Here is what he considers a list of daily staples:

1. 3 cups cooked brown rice ($0.53)
2. 2 cups cooked pinto beans ($0.23)
3. 2 stalks cooked broccoli (360g) ($1.06)
4. 1 baked sweet potato (180g) ($0.40)
5. 1 tablespoon olive oil ($0.18)
6. 1/2 cup sunflower seeds, shelled ($0.22)
7. 2 cups nonfat milk ($0.37)

Let's forget number crunching and make some basic substitutions and additions:

• I don't like rice. But I'll eat pasta.
• I don't like sweet potatoes (sorry Laura) but I love regular baked potatoes.
• The shelled sunflower seeds is a really interesting possibility that I hadn't considered. Nuts are expensive--they hover around $5 for 8oz, and I don't normally think of them as a cooking ingredient, but for the added protein (or as a snack) I could see sunflower seeds as being pretty amazing. Otherwise I may just go with some unsalted mix nuts or peanuts.
• I'll take black beans over pinto beans any day.
• I'm cooking chicken cacciatore tonight, so I will need ingredients for that.

So my plan today is to grab $50 in cash, and try to get a week's worth of groceries (including tonight's dinner) for $30. Wish me luck, I'll let you know how it goes.