This site is dedicated to the memory of Dr. Alan William Smolowe who gave birth to the creation of this database.
The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry... "Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.
To be sure, nothing is more important to the integrity of the universities than a rigorously enforced divorce from war-oriented research and all connected enterprises.
Man |
Clocks are inherently four-dimensional instruments, since the endpoints of their unit distances are events. Measuring rods, on the other hand, are three-dimensional measuring instruments; their end points are space points and they can be changed into four-dimensional measuring instruments only if events are produced at their end points according to a special rule.
To be free in an age like ours, one must be in a position of authority. That in itself would be enough to make me ambitious.
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 there is no finite interval of time between the departure and return of a first-signal...
Common to the two geometries is only the general property of one-to-one correspondence, and the rule that this correspondence determines straight lines as shortest lines as well as their relations of intersection.
We have chosen to write the biography of our disease because we love it platonically ? as Amy Lowell loved Keats ? and have sought its acquaintance wherever we could find it. And in this growing intimacy we have become increasingly impressed with the influence that this and other infectious diseases, which span ? in their protoplasmic continuities ? the entire history of mankind, have had upon the fates of men.
We are frequently faced with the necessity of looking for the picture required for the visualization of an object, not in the perception of this particular object, but in a different perceptual image... we can assert the discrepancy between the perceived picture and the objective state. This discrepancy... proves absolutely nothing against the fact that all visualizations are merely sense qualities of the perceptual space... If the parallelism is... to be visualized, we must supplement our assertion by the description of certain qualities with which we are familiar from perceptual space.
One who wants to keep their yard tidy does not reserve a plot for the weeds.
Change | Civilization | Future | Global | Health | Inconvenient | Land | Security | Will |
Nothing improves the taste of pasta more than a good appetite.
The eye of the master fattens the horse.
Experience | Life | Life | Principles | Psychology | Time | Youth | Youth |
Of what does not concern you say nothing, good or bad.
Consideration | Man | Nothing |