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Definition of Mathematical space
1. Noun. (mathematics) any set of points that satisfy a set of postulates of some kind. "Assume that the topological space is finite dimensional"
Generic synonyms: Infinite, Space, Set
Category relationships: Math, Mathematics, Maths
Specialized synonyms: Subspace, Null Space, Manifold, Metric Space
Lexicographical Neighbors of Mathematical Space
Literary usage of Mathematical space
Below you will find example usage of this term as found in modern and/or classical literature:
1. The Catholic Encyclopedia: An International Work of Reference on the by Charles George Herbermann (1913)
"From it he derives his idea of mathematical space; but he eliminates from it all
predicates ... mathematical space therefore abstracts from all existence. ..."
2. The Monist by Hegeler Institute (1903)
"mathematical space being an ideal construction, it is a matter of course that all
... The two spaces, the ideal construction of mathematical space and the ..."
3. Space, Time, and Deity: The Gifford Lectures at Glasgow, 1916-1918 by Samuel Alexander (1920)
"... CHAPTER V mathematical space AND TIME Are point s PHYSICAL Space and Time are
thus one with mental space fictions? an(j time, or, more strictly, ..."
4. The Monist by Hegeler Institute (1920)
"This method of approach will also give us the basis for a better understanding
of the ideality or non-existential status of mathematical space. ..."
5. Scientific Theism Versus Materialism: The Space-time Potential by Arvid Reuterdahl (1920)
"mathematical space is a mental product which involves laws of imaginary motion.
When mathematical space is tridimensional, then the laws of imaginary motion ..."
6. Evolutionary Naturalism by Roy Wood Sellars (1922)
"mathematical space is infinitely divisible. But it does not follow that a ...
To substitute mathematical space and its characters for reality—however ..."
7. The Foundations of Mathematics by Paul Carus (1908)
"How different is mathematical space! It is homogeneous throughout. And it is so
because we made it so by abstraction. Pure form is a feature which is by no ..."
8. Memorabilia Mathematica; Or, The Philomath's Quotation-book by Robert Édouard Moritz (1914)
"Furthermore, since mathematical bodies are really portions of space, this space
is to be conceived as mathematical space and to be clearly distinguished ..."
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