Continuum theory
Continuum theory is the science that studies epistemological continuums.
Types of epistemological continuums
1. finite versus infinite
2. discrete versus continuous
3. one dimensional versus multidimensional continuums
Mathematical continuums usually use numbers as their change concept.
An example of a finite, discrete, one dimensional continuum, using the change concept of one number unit, is: the number line with the whole numbers one to one hundred labeled. It could have been any number not just one hundred. But when solving problems simplifying the continuum can make the problem solving easier. By limiting the size of a continuum however for simplicity purposes you may loose important understanding of the whole continuum.
An example of an infinite, discrete, one dimensional continuum, using the change concept of one number unit, is the number line with the whole numbers one to infinity.
An example of an infinite, continuous, one dimensional continuum, using the change concept of real numbers, is the number line with all the real numbers one to infinity.
An example of an infinite, continuous, three dimensional continuum, using the change concept of real numbers, is the (x,y,z,) mathematical 3d space with all the real numbers one to infinity for each dimension. every point in this three space has three real numbers attached to it giving it a precise location within the continuum.
Physics applies application concepts to the three (or more) dimensional mathematical continuum to make it a physical continuum. It applies concepts like speed, acceleration ,energy, vectors, etc to n dimensional continuums.
Epistemological continuums are good for many different things such as organization, extrapolation, approximation, understanding through organization, extrapolation, and approximation, retrieval of information, storage of information in an efficient manor, itomapping, mathematical mapping, equation creation, etc.
Once you produce a right kind of continuum you can develop mathematical equations that can produce knowledge with the input of variables.
Continuum theories or models explain variation as involving a gradual quantitative transition without abrupt changes or discontinuities. It can be contrasted with 'categorical' models which propose qualitatively different states.
