Re: Mechanical (Probable) Causation Uses Subtraction and Division, Not Addition or Multiplication
- From: "OsherD" <mdoctorow@xxxxxxxxxxx>
- Date: 25 Aug 2005 23:31:36 -0700
>>From Osher Doctorow
But what about the universal and genetic codes in which there is either
no exponent other than 1 or no law prevents either multiplicative or
division exponents (+ or - respectively) from occurring? The genetic
code involves concatenation or adjacent placement of symbols rather
than multiplication, while the universal code which I recently
presented in several threads on sci.physics still obeys the rules or
regularities of the previous post. Once again, multiplication occurs
when emphasis is on "and", and division or in other words negative
exponent when emphasis is on (probable) influence or dependence, and
similarity with addition versus subtraction.
Admittedly, there are some complications. For example, tensor
analysis equations express "physical laws", but determinants of tensors
are alternatingly subtractive and so arguably involve the purely causal
part of the tensor - except that, unless very "nice" matrix
representations of tensors having many 1s are involved, each term in a
determinant is usually a product of 2 or more variables.
The answer may be that tensor laws involve simultaneous equations and
therefore simultaneity as discussed in the previous post, so that when
the determinant of a matrix representing a tensor is obtained it is an
expression of causation/dependence between/among simultaneous "things".
Granted that this is an "exception", it is a very precisely
identified one, and I suspect that a similar argument explains
determinants.
When we bring in expansion-contraction via the Riccati Differential
equation, we get two especially important subtypes:
1) dy/dt = ky
2) dy/dt = ky(1 - y)
where y in (2) is "normalized" such as proportions or probabilities.
The second equation (the logistic differential equation) is
"quintessentially subtractive", while the first (exponential growth or
decay depending on whether k > 0 or < 0 ) doesn't have two multiplied
variables. Notice that in (2), ky(1 - y) = ky - ky^2 which is
subtractive.
Osher Doctorow
.
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