Philip Ehrlich
Biographic Data
| ID | 5969686 |
|---|---|
| NAME | Philip Ehrlich |
| GIVEN NAMES | Philip |
| FAMILY NAME | Ehrlich |
| SIGNATURE | EHRLICH P |
| AFFILIATIONS | Ohio University |
| VERIFIED | No |
| TOTAL WORKS | 6 |
| TOTAL CITATIONS | 9 |
| WORKS AS AUTHOR | 6 |
| WORKS AS EDITOR | 0 |
| FIRST PUBLICATION YEAR | 1960 |
| LATEST PUBLICATION YEAR | 2022 |
| H-INDEX | 2 |
Are Points (Necessarily) Unextended
Since Euclid defined a point as “that which has no part” it has been widely assumed that points are necessarily unextended. It has also been assumed that this is equivalent to saying that points or, more properly speaking, degenerate segments, have length zero. We challenge these assumptions by providing models of Euclidean geometry where the points are extended despite the fact that the degenerate segments have null lengths, and observe that whe…
An Essay in Honor of Adolf Grünbaum’s Ninetieth Birthday
We suggest that, far from establishing an inconsistency in the standard theory of the geometrical linear continuum, Zeno’s Paradox of Extension merely establishes an inconsistency between the standard theory of geometrical magnitude and a misguided system of length measurement. We further suggest that our resolution of Zeno’s paradox is superior to Adolf Grünbaum’s now standard resolution based on Lebesgue measure theory
From Completeness to Archimedean Completenes
Negative, infinite, and hotter than infinite temperatures
Professor Hugo Apolant
Professor Alfred Bertheim
From Completeness to Archimedean Completenes
Negative, infinite, and hotter than infinite temperatures
Are Points (Necessarily) Unextended
Since Euclid defined a point as “that which has no part” it has been widely assumed that points are necessarily unextended. It has also been assumed that this is equivalent to saying that points or, more properly speaking, degenerate segments, have length zero. We challenge these assumptions by providing models of Euclidean geometry where the points are extended despite the fact that the degenerate segments have null lengths, and observe that whe…
An Essay in Honor of Adolf Grünbaum’s Ninetieth Birthday
We suggest that, far from establishing an inconsistency in the standard theory of the geometrical linear continuum, Zeno’s Paradox of Extension merely establishes an inconsistency between the standard theory of geometrical magnitude and a misguided system of length measurement. We further suggest that our resolution of Zeno’s paradox is superior to Adolf Grünbaum’s now standard resolution based on Lebesgue measure theory
Professor Hugo Apolant
Professor Alfred Bertheim
Negative, infinite, and hotter than infinite temperatures
From Completeness to Archimedean Completenes
An Essay in Honor of Adolf Grünbaum’s Ninetieth Birthday
We suggest that, far from establishing an inconsistency in the standard theory of the geometrical linear continuum, Zeno’s Paradox of Extension merely establishes an inconsistency between the standard theory of geometrical magnitude and a misguided system of length measurement. We further suggest that our resolution of Zeno’s paradox is superior to Adolf Grünbaum’s now standard resolution based on Lebesgue measure theory
Are Points (Necessarily) Unextended
Since Euclid defined a point as “that which has no part” it has been widely assumed that points are necessarily unextended. It has also been assumed that this is equivalent to saying that points or, more properly speaking, degenerate segments, have length zero. We challenge these assumptions by providing models of Euclidean geometry where the points are extended despite the fact that the degenerate segments have null lengths, and observe that whe…
Philosophy (4 works) · Epistemology (3 works) · Mathematics (3 works) · Physics (3 works) · Computer Science (2 works) · History and Theory of Mathematics (2 works) · Mathematics and Applications (2 works) · Metaphysics (2 works) · Philosophy of language (2 works) · Philosophy of science (2 works)