I am fascinated by interesting numbers, like the “Golden Proportion”, or ratio.  However, in researching the number phi φ, or Phi Φ, I have found the usage of these Greek characters, in mathematics, to be completely confused and inconsistent.  Sometimes they are BOTH used to represent the number 1.618…, the Golden Mean, Golden ratio, Golden Proportion, Golden Egg (popped out by the Golden Goose).  Sometimes one (OR the other) is used to represent the “golden ratio conjugate”, or 0.618…  Please, mathematicians, get your act together, and settle on one usage or another, but please be consistent!

Lenny (Leonardo Fibonacci) is probably rollin’ in his grave over this! (purely conjecture on my part – don’t ask me for a “proof”).

I propose that it is logical for (capital) Phi, Φ, to symbolize the Golden Proportion, 1.618…, and (small) phi, φ, to symbolize 0.618… That makes perfect sense in mathematical terms, doesn’t it?  Since 0.618… is the smaller number (and geometrically the smaller portion, 0.618…, usually added to 1 to get the larger golden proportion, 1.618…)?  Quit confusing young, budding mathematicians with inconsistent usage.  On some sites, I have seen the usage confused on the SAME website, and sometimes in the same sentence (or maybe I just imagined that last one).

Don’t ask me for references, I don’t have the energy right now.  Just “Google” it and you will quickly see what I am talking about.

“Rant for the day”.


When the urge to point out the errors in others, in diverse ways of thinking, and in ideas contrary to our own takes hold, we too easily fall into the trap of thinking we (and only we) know what is right.  I think it is called pride – when we are convinced that we know what is best for all (projection, too).  I believe this kind of judgment (along with other factors, like greed) is what has repeatedly turned simple spiritual principles of Life into the myriad of religious doctrines and dogmas we see throughout all human history.  Judgment has led to wars, abuses, and atrocities which any rational being can clearly see is not right – “they are wrong, they are in our way, so we need to rid the world of their blasphemy”.  Anything which hurts us, or others, is wrong – what helps and uplifts is right…simple, isn’t it.  The One law of Love, written on our hearts…


Fire, water, air, and Earth,
I invoke ye now to reduce my Girth.
Let the food which Nourisheth Me
offereth forth Divine Energy,
that I shall fill with Magical Power,
expand my Spiritual Strength this hour.

Let all Excess leave my Bod,
Leaving only what is Good,
for my Fitness and my Health
and Generous Riches –
Bless my Food.