In this Paper I investigate how from the sheer and mere Observation and Experiment one evolves – through the Principles enunciated in the Paper – to the equivalence : identity of this Observation and Experiment of the scientists and the methodology of Proportion that I use as the tool of discovery in my works.
The Empirical Fact
The Empirical Quality
The Empirical Proportion
Quality as the Aggregatum of Facts:Quantities
Proportion as the Aggregatum of Quality.
0f how we observe:describe Empirical Proportion in the same mode as Empirical Quality and Empirical Quality in the same mode as Empirical Fact:Quantity.
Syllogistic Equivalence of Empirical Proportion; Empirical Quality and Empirical Fact.
0f the Empirical Fact ---> Empirical Quality ---> Empirical Proportion Cycle
Of the Vice-versa of this Cycle.
0f the Principle (Principle 0f Empirical Equivalence) that Empirical Fact:Quantity; Empirical Quality and Empirical Proportion are Equivalent to Each Other In Terms 0f the Principle 0f Equivalence:Identity
0f how in this Cycle the Observation 0f One of the Three Links [Empirical Fact; Empirical Quantity; Empirical Proportion] is the Observation of the Other Links (as by the Principle 0f Empirical Equivalence q.v. supra]
0f How the Principle of Empirical Equivalence q.v. occurs:progressess as in to all our Empirical Observations:Experiments.
II OUR WORKS AS THE OBSERVATION:EXPERIMENT OF EMPIRICAL PROPORTIONS
Our Works as the Assertions:Enunciations:Statements 0f Principle(s)
Of the Enunciation 0f All and Any 0f These Principles (apart from the Assertions themselves) as Proportions (Direct-Inverse)
0f How All These Proportions are Empirical Proportions.
0f how the Observation:experiment 0f Empirical Proportion is the Observation:Experiment 0f Empirical Quality and the Observation:Experiment 0f Empirical Quality is the 0bservation:Experiment 0f Empirical Fact :Quantity
0f How in Verification q.v.the Agreement:Equivalence:Transformation of One Link (of the Empirical Proportion Cycle) as in the Other Link(s) (of the Same Cycle) is Observed:Experimented
0f How this Verification Itself Is Executed (0ccurs:Progressess) as By Empirical Observation:experiment.
0f the Empirical Transformation 0f One Link (q.v. Above) (of the Empirical Proportion Cycle) as in to the Other (Link)
0f How this Empirical Transformation Occurs:Progressess as accordant to these Three Principles :
A - Principle that Empirical Fact:Quantity is transformed as into Empirical Quality as by the Operation:Occurrence:Progression 0f The Relative Laws (e = mc2 and/or 0ther Laws - if any -)
B – Principle that Proportion is Quality AQ (Quantity A X A) X Constant X = Quality BQ (Quantity B X B) X Constant X
C – Principle that Proportion and Mathematical Equation:Equivalence q.v. are Equivalent:Identities in terms of the Principle 0f Equivalence:Identity q.v
MATHEMATICAL EQUIVALENCE AS IN EQUIVALENCE TO PROPORTION
Mathematical Equivalence can be arithmetical, algebraic, geometrical or other equivalent type:mode.
0f how we choose the Algebraic Equation as 0ur Expression of Mathematical Equivalence
IV 0f HowTherefore as from All and Any Observation:Experiment 0f All and Any Empirical Fact:Quantity we arrive (as by the Relative Empirical Transformation) to the Relative Empirical Proportion(s).
OUR WORKS AND THEIR EMPIRICAL VERIFICATION
0f How all the Proportions as in to our Works are Verifiable by the Tool:Method 0f Mathematical Equivalence 0f The Relative Quantities to the Relative Qualities (as per the Relative Principles:Equations q.v. Above) and (In Turn) 0f The Relative Qualities To The Relative Proportions (as per the Relative Principles:Equations q.v. Above)
In the mass universe all proportions are proportional to each other Therefore and accordingly all Equations of the Tool:Method of Mathematical Equivalence supra q.v. are proportional to each other
Therefore and accordingly All Packets of Quantities and All Qualities multiplied by their respective constant (X) are also proportional to each other
Phaemonon:Quantity:Fact [A] Phaenomenon:Quantity:Fact [B] [C] [D]
A X A = AQ
AQ X Constant X =
BQ X Constant X
Quality A X constant X = Quality B X constant X