DUALISM, PLURALISM,
FUZZY LOGIC & THE WHEEL of the YEAR
Is Yule the beginning of Winter ?
Is Yule the middle of Winter ?
Is Imbolc the middle of Winter?
Is Imbolc the end of Winter ?
Is Imbolc the beginning of Spring ?
Is the Vernal Equinox the end of Winter ?
Is the Vernal Equinox the beginning of Spring ?
Is Beltaine the middle of Spring ?
Is Beltaine the end of Spring?
Is Beltaine the beginning of Summer?
Ok now...
What if I tell you that the answers to all of the above are actually “YES” ?
Individually considered, many of the above seem to be “true”, yet collectively they seem to contradict each other. This brings into focus an area of dispute among modern pagans which actually frames some old time philosophical principles and one revolutionary new field of logic in which modern scholars from every domain from physics to sociology are making discoveries that will change the future of human thought.
In a debate with Al Gore in October of 2000, employing his typically brilliant “repartee”, George W. Bush described Gore’s economic plans as employing “fuzzy math”, thereby for many years muddying the public’s ability to apprehend a legitimate new field in the sciences with the unfortunate name “Fuzzy Logic”. At that point, it seems Bush was trying to imply that by nature, math is confusing and not to be trusted. As you may imagine, that did not go over well with the mathematicians(1.). But if I suggest to you we should consider the application of “Fuzzy Logic” when discussing the Wheel of the Year, what would that be about? Ok, we’ll get to that in a bit, but first things first…
DUALISM vs. PLURALISM ?
This was always a favorite topic of our founder Isaac Bonewits. From being exposed to his constant references to these principles I’ve condensed my understanding of them into the two definitions below…
Dualism:
A philosophic principle limiting systems of thought into “either-or” sets of two principles assumed to be mutually-exclusive: True vs. False; Good vs. Evil; Love vs. Hate; Matter vs. Spirit; Mind vs. Body; Man vs. Nature
Pluralism:
A system of thought which allows for more than one seemingly contradictory view to be held at once. Challenges the notions of “absolutes” upon which systems like Dualism are founded. - earrach (2.)
Yes, Isaac, ADF, me, and much of Neopaganism were onboard with this (pluralistic) type of thinking long before any of us ever heard of that odd-sounding term “Fuzzy Logic” emerging from the halls of academia.
FUZZY LOGIC ?
One needs to realize at the start that the word “fuzzy” in the name is not a quality judgment, it’s actually referring to this new mode of thought's intentional methodology. Fuzzy Logic is a serious attempt to model the world more accurately and productively than is possible from a dualistic viewpoint. We're not talking unicorns and rainbows here, we're talking life and death, and dollars and cents.
Take a bite out of an apple. And another. And so on… Although we definitely started with the state of “an apple” = “true”, at what point is it no longer “an apple” and therefore, “an apple” = “false”? With the first tiny square 1/32nd of an inch of the apple your teeth remove, is it still “an apple”? Once you have eaten 61% of the apple’s mass, is it still “an apple”? So then, as you continue, when does it cease being “an apple”?
fig.1., Fuzzy Logic behind the wheel of your car
Now, looking at the example fuzzy-logic diagram above and understanding that the vertical (“truth”) axis increases from zero (“false”) to 1.0 (“true”), then try replacing the terms “slow”, “medium”, and “fast” with other term-sets like:
“cold”, “medium”, & “hot”…
“young”, “middle aged”, & “old”…
( Make a fresh drawing if you have trouble visualizing these alternate versions… )
With these simple examples, we can easily see what the scholars working on Fuzzy Logic mean when they say “Truth is not a binary proposition. In the real world, truth is simply a matter of degree.” (3.)
DO SEASONS “BEGIN” OR “END” ?
Certainly we should first come to some agreement as to what constitutes a “season” or any given answer is clearly going to be partially wrong and only partially true. How often have we heard the following kind of statement?:
“The date that a season begins varies with local climate, so it's kind of silly for there to be a declaration that a solstice or equinox is the first day, no matter where one lives. In Irish and Germanic lore Summer Solstice is "Midsummer", not the beginning of Summer. In Celtic folklore the festivals are often called "fire festivals" or by similar terminology. I assume this is because bonfires were usually an important part of the festivities. On Imbolc, depending on where one lived (climate at that time of year in the north of Scotland will vary significantly from that in the south of Ireland, for instance), people were less likely to have outdoor bonfires, but fire is still an important part of the festival in the form of hearthfires, candles, and the focus on Brighid, who is a Goddess of the fires of the hearth and smithy and the fires of inspiration (among many other things).”
- Kathryn NicDhĂ na (4.)
Yuck. As a self-styled “astronomer-priest” enraptured by solstices and equinoxes and such, the quote above encapsulates the classic retort that always paralyses me in frustration by its multiple whammy of a dozen missed points and, well… it is the reason compelling me to write this very essay. Nonetheless, don’t get me wrong, Kathryn is a careful editor of Wikipedia topics touching on Celtic Reconstructionism (“CR”) and her comments are generally more than worthy of one’s attention. But then…
fig.2., Fuzzy Logic solves the Dualistic Paganthink
regarding the seasons and the Wheel of the Year !
DEFINING the term “SEASONS”:
Seasonal Quarters:
“The annual spans of time framed by the solstices and their adjacent equinoxes.”
Of course although the dates of the solstices and equinoxes (“quarter days”) remain approximately the same, the season's name will be its opposite when comparing southern hemisphere locations to the northern hemisphere or vice versa. Although each "season" actually contains a slightly different number of days from the other three, "quarters" remains a common descriptive term for these four sectors of the Earth's orbit.
Seasonal Weather:
“The local weather norms traditionally associated with a time of year.”
Ultimately, all annual extended weather sequences are driven by the effects framed by the astronomical quarterdays (the solstices and equinoxes) framing the seasonal quarters of the year.
A YEAR IS BUT ONE GREAT DAY…
A striking analogy can be seen by comparing the temperature of times of one day with the dates of the solstices and equinoxes relative to the typical temperature extremes found throughout the year:
Midnight ( = least Sun, yet not coldest.)
Wee-Hours ( = then it’s the coldest.)
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NOTES
1. http://www.nytimes.com/2000/10/06/opinion/l-bush-vs-gore-debate-aftermath-fuzzy-math-520543.html
2, Earrach of Pittsburgh (2003) "Do You Believe in the Gods & Goddesses ? Part II ",
from Belief and Neopagan Spirituality : http://thebookofsassafras.blogspot.com/p/neopaganism-and-belief.html
3. Kesko, Bart Fuzzy Thinking, the New Science of Fuzzy Logic, NY Hyperion, 1993
4. From Kathyrn’s comments on http://en.wikipedia.org/wiki/Talk:Wheel_of_the_Year
5.
vs.
Yule Solstice ( = least sun, yet not coldest)
Jan. / Feb. ( = then it’s the coldest.)
Noon ( highest Sun, yet not the hottest.)
Mid-afternoon ( then it’s the hottest.)
vs.
vs.
June Solstice ( highest Sun, yet not the hottest.)
July / Aug. ( then it’s the hottest.)
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ARTICLE UNDER CONSTUCTION... check for updates later !
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NOTES
1. http://www.nytimes.com/2000/10/06/opinion/l-bush-vs-gore-debate-aftermath-fuzzy-math-520543.html
2, Earrach of Pittsburgh (2003) "Do You Believe in the Gods & Goddesses ? Part II ",
from Belief and Neopagan Spirituality : http://thebookofsassafras.blogspot.com/p/neopaganism-and-belief.html
3. Kesko, Bart Fuzzy Thinking, the New Science of Fuzzy Logic, NY Hyperion, 1993
4. From Kathyrn’s comments on http://en.wikipedia.org/wiki/Talk:Wheel_of_the_Year
5.









