...the mathematician uses an indirect definition of congruence, making use of the fact that the axiom of parallels together with an additional condition can replace the definition of congruence.
It appears that the solution of the problem of time and space is reserved to philosophers who, like Leibniz, are mathematicians, or to mathematicians… - Hans Reichenbach
It appears that the solution of the problem of time and space is reserved to philosophers who, like Leibniz, are mathematicians, or to mathematicians…
- Hans Reichenbach
Philosophy is regarded by many as inseparable from speculation. ... Philosophy has proceeded from speculation to science. - Hans Reichenbach
Philosophy is regarded by many as inseparable from speculation. ... Philosophy has proceeded from speculation to science.
The philosopher of science is not much interested in the thought processes which lead to scientific discoveries; he looks for a logical analysis of t… - Hans Reichenbach
The philosopher of science is not much interested in the thought processes which lead to scientific discoveries; he looks for a logical analysis of t…
The essence of knowledge is generalization. That fire can be produced by rubbing wood in a certain way is a knowledge derived by generalization from … - Hans Reichenbach
The essence of knowledge is generalization. That fire can be produced by rubbing wood in a certain way is a knowledge derived by generalization from …
Absolute time would exist in a causal structure for which the concept indeterminate as to time order lends to a unique simultaneity, i.e., for which … - Hans Reichenbach
Absolute time would exist in a causal structure for which the concept indeterminate as to time order lends to a unique simultaneity, i.e., for which …
We must... maintain that mathematical geometry is not a science of space insofar as we understand by space a visual structure that can be filled with… - Hans Reichenbach
We must... maintain that mathematical geometry is not a science of space insofar as we understand by space a visual structure that can be filled with…
The statement that although the past can be recorded, the future cannot, is translatable into the statistical statement: Isolated states of order are… - Hans Reichenbach
The statement that although the past can be recorded, the future cannot, is translatable into the statistical statement: Isolated states of order are…
Visual forms are not perceived differently from colors or brightness. They are sense qualities, and the visual character of geometry consists in thes… - Hans Reichenbach
Visual forms are not perceived differently from colors or brightness. They are sense qualities, and the visual character of geometry consists in thes…
Common to the two geometries is only the general property of one-to-one correspondence, and the rule that this correspondence determines straight lin… - Hans Reichenbach
Common to the two geometries is only the general property of one-to-one correspondence, and the rule that this correspondence determines straight lin…
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