Imagine a super-stretchy tablecloth that goes on forever in all directions. Or it could be infinitely-stretchy but fixed in a huge wooden frame, for the purposes of this metaphor, both work as well.
Now it starts off perfectly flat. This is the ‘fabric of reality’ and it’s right now both all and nothing: it’s the ‘stuff’ that all is made of and ‘all’ you have to work with, but since it’s perfectly flat, ‘nothing’ exists, there’s no thing which stands out from any other thing.
Continue reading “The Infinite Tablecloth”
That sounds like a platitude. Indeed it might be.
It’s just an expression of my latest understanding and once again my ‘obsession’ with the way Reality keeps consistently ‘boiling down to’ Sameness and Difference. I’m quite astounded that what I had until now thought applied metaphysically and physically, also applies emotionally/spiritually.
Continue reading “Suffering is Difference, Bliss is Sameness.”
I’ve been talking with my older brother who’s having difficulties from being, in his words, ‘very judgemental’. Various Eastern philosophies hold that personal unhappiness and ‘suffering’ stems from attachment and having a judging mind.
Continue reading “Judgement or Discernment? Is There a Difference?”
George Boole’s “Laws of Thought” have been extremely useful in many disciplines, but I contend that they are nevertheless incomplete. In their dominance over most of Logic and Philosophy, they have caused a conceptual ‘blind spot’ in the many fields of research which use or emanate from such reasoning – including the Foundations of Mathematics. It’s time we set the records straight. I propose one law, which for now I call “The Law of Existence”, and show how the Laws of Thought emerge naturally from its consequences. Continue reading “The Law of Existence – a better logic?”
It may seem absurd that I see Reality (indeed, all Reality, hence the capital ‘R’) as being ‘made of’ Transformations. I am the first to admit it because this is my view almost despite myself – “I would it weren’t so”. In fact, it’s this very discomfort, this very dismay that motivates me to review each reason, carefully, once more.
While it may seem reasonable that, in seeking something which can both be ‘Sameness’ and ‘Difference’, I choose Transformation as the definitive candidate, it nevertheless seems difficult to grasp how that might come to be, in the real physical realm.
Continue reading ““ALL Reality is Transformation” – A Review”
Definition of a Thing:
If a Thing is to exist, it must be, by necessity, at the very least ‘not’ that-from-which-it-exists. This ‘not’ is what enables it to exist, and as such is the transformation by which it exists. This transformation is the defining boundary of a Thing; the Thing is fully-bounded by “not”. But the existence of a boundary gives rise to there being two sides. And so we understand that for a bounded Thing to exist, there must exist that Thing’s complement – that is, the that-from-which-it-exists. “not” is an involutory transformation in that a second “not” cancels both. However, in normal speech, this cancellation is referred to as “is” – where “is” is “not not”. So we understand that by being defined by ‘not’, an extant Thing is absolutely unique. If it was not, then it would not exist – because it would not not-be something else (it is not-not something else – thus it ‘is’ something else).
Continue reading “Set Theory 2.0 – a first attempt”
The human mind, I am convinced, operates in terms of sameness and difference*. From this conviction I have recently come to label two modes of thinking – ways which the mind ‘makes sense’ of the world:
Continue reading “Understanding Understanding: Two modes of mind”
If ever there was something which merited the name “God” in my eyes, it would be the Mobius Strip. But I don’t believe in a personal, let-alone sentient, god. I’d be far more inclined to call it “Tao” instead. Buddhists might call it “Om” (or “Aum”). Mathematicians should call it “i” (the square root of negative one), but there are even more examples in Mathematics (the involution, the half-rotation, inconsistency, contradiction, “not” or the symbol ¬). Electronics circuits represent it as the inverter whose ouput feeds back into its input. Philosophers might call it “contradiction” or more formally the “paradox of self-reference” epitomized in the Liar Paradox:
“This statement is False.”
Continue reading “The Deep Symbolism of the Mobius Strip”
The circle is a strange creature, and most definitely not as simple as it seems. In fact, you will see that a circle in the plane doesn’t enclose anything – that ‘inside’ and ‘outside’ are completely arbitrary and in the end, meaningless. Hold on to your seats!
Continue reading “The Circle in the Plane: How bizarre is this?”
On Infinity and Boundaries:
You have to understand that if you have an infinite “expanse” of sameness that is unchanging, and that you (I say ‘you’, but I mean ‘it’ or ‘unknown’ for the time being) cause a Thing to exist from that sameness, if it is to ‘exist’, then it must necessarily be perfectly bounded; and if it is perfectly bounded, then, reciprocally, so too is the ‘infinite’ sameness (which is now clearly not infinite).
Continue reading “Strange and relative thinking: two examples”