Do you agree with this statement? What is wrong with it
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Quoted By: >>13485962 >>13486013
Do you agree with this statement? What is wrong with it
In quantitative mathematical description of certain phenomena self-contradictory systems of equations are very often obtained, in which there are more equations than unknown quantities, e. g.:
{
x + x = 2
50x + 50x = 103.
The logical contradiction is patently obvious here, yet the system of equations is quite real. Its reality will become apparent on condition that x here denotes one dollar, and the addition of dollars takes place not only and not so much in the head but in the savings bank, too, which puts to an account three per cent interest per annum.
Under these concrete, and quite real, conditions, the addition of dollars is quite precisely expressed by the above ‘contradictory’ system of equations. Contradiction is here a direct expression of the fact that in reality it is not speculative pure quantities that are added (or subtracted, or divided, or raised to a power, etc.) but qualitatively definite magnitudes, and that the purely quantitative addition of these magnitudes produces at some point a qualitative leap disrupting the ideal quantitative process and resulting in a paradox in the theoretical expression.
In quantitative mathematical description of certain phenomena self-contradictory systems of equations are very often obtained, in which there are more equations than unknown quantities, e. g.:
{
x + x = 2
50x + 50x = 103.
The logical contradiction is patently obvious here, yet the system of equations is quite real. Its reality will become apparent on condition that x here denotes one dollar, and the addition of dollars takes place not only and not so much in the head but in the savings bank, too, which puts to an account three per cent interest per annum.
Under these concrete, and quite real, conditions, the addition of dollars is quite precisely expressed by the above ‘contradictory’ system of equations. Contradiction is here a direct expression of the fact that in reality it is not speculative pure quantities that are added (or subtracted, or divided, or raised to a power, etc.) but qualitatively definite magnitudes, and that the purely quantitative addition of these magnitudes produces at some point a qualitative leap disrupting the ideal quantitative process and resulting in a paradox in the theoretical expression.
