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Topic: continuum in mathematics
topics >
discrete vs. continuous
Topic:
elements
Topic:
geometry
Topic:
infinite sequences
Topic:
infinity and infinitesimal
Topic:
real numbers and floating point numbers
Subtopic: geometric continuum
Quote: a physical continuum is not transitive (e.g., A=B, B=C, A<C); its contradictions lead to the mathematical continuum [»poinH_1902, OK] Quote: things are continuous which move together and cannot do otherwise; constitute a unit; still more when they cannot be bent; e.g., thigh vs. leg [»aris_322a]
Subtopic: cut
Quote: a line is a sequence of elements such that each cannot be distinguished from its predecessor [»poinH_1902, OK]
Subtopic: infinitely divisible
Quote: a cut separates a continuum into multiple continuums by removing one or more elements [»poinH_1902, OK] Quote: a continuum has two dimensions if it is cut by one-dimensional continuums
Subtopic: limits of ideas and numbers
Quote: every body has an infinite number of parts; i.e., the continuum is infinitely divisible
Quote: ideas and numbers can not produce a continuum nor explain movement [»aris_322a]
Topic: discrete vs. continuous (47 items)
Topic: elements (22 items)
Topic: geometry (33 items)
Topic: infinite sequences (7 items)
Topic: infinity and infinitesimal (37 items)
Topic: real numbers and floating point numbers
(37 items)