Tag: set theory

The Law of Existence – Part 2

Thomas White1 Comment

Law of Existence – continued

In my previous post, I promised to illustrate how the Laws of Thought, as they are used today, emerge naturally from the Law of Existence. Time to make good on my promise.

In a comment left by reader SelfAwarePatterns he mentioned that he didn’t see how the Law of the Excluded Middle (LEM) was rendered false by the Law of Existence. He’s absolutely right – it’s not false, and indeed it’s very naturally present already within the Law of Existence. What is false however, is the ‘closed’ interpretation of the LEM which says that a Thing only ever is or (exclusive or) is not. That is clearly false, and to use the example he gave:
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Set Theory 2.0 – a first attempt

Thomas White1 Comment

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[1]. 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” →