And Don't Just Close Your Eyes...
Man cannot discover new oceans unless he has the courage to lose sight of the shore.
- André Gide (1869-1951)
Defining the Euclidean Point
...to characterize the import of pure geometry, we might use the standard form of a movie disclaimer: No portrayal of the characteristics of geometrical figures or of the spatial properties of relationships of actual bodies is intended, and any similarities between the primitive concepts and their customary geometrical connotations are purely coincidental.
The propositions of mathematics have, therefore, the same unquestionable certainty which is typical of such propositions as "All bachelors are unmarried," but they also share the complete lack of empirical content which is associated with that certainty: The propositions of mathematics are devoid of all factual content; they convey no information whatever on any empirical subject matter...
- Carl Gustav Hempel (1905-1997)
Defining the Euclidean Point by Daniel Sanderson - QFT Horizon Principle
The planksip point in the p.(x) QFT Horizon Principle
Inspired by Carl Gustav Hempel's (1905-1997) quote, "...to characterize the import of pure geometry, we might use the standard form of a movie-disclaimer: No portrayal of the characteristics of geometrical figures or of the spatial properties of relationships of actual bodies is intended, and any similarities between the primitive concepts and their customary geometrical connotations are purely coincidental.
The propositions of mathematics have, therefore, the same unquestionable certainty which is typical of such propositions as "All bachelors are unmarried," but they also share the complete lack of empirical content which is associated with that certainty: The propositions of mathematics are devoid of all factual content; they convey no information whatever on any empirical subject matter..." The titled responsion is up for discussion. Do you get the point?
Elizabeth I of England
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Daniel Sanderson