Topic: discrete vs. continuous
Topic: elements
Topic: geometry
Topic: infinite sequences
Topic: infinity and infinitesimal
Topic: real numbers and floating point numbers
 
Subtopic: physical 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: geometric continuum
Quote: a line is a sequence of elements such that each cannot be distinguished from its predecessor [»poinH_1902, OK]
 Subtopic: cut
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 onedimensional continuums
 Subtopic: infinitely divisible
Quote: every body has an infinite number of parts; i.e., the continuum is infinitely divisible
 Subtopic: limits of ideas and numbers
Quote: ideas and numbers can not produce a continuum nor explain movement [»aris_322a]

Related Topics
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)
