You don't get to make your own defintions in physics, when you are using words that already have well specified definitions. Your definition is not incorrect, but should be "... that has no dimensions" not " ... that occupies no space". One does not "construct space though addition of points" so your question is based on a false premise. One constructs space by increasing at least one dimension.Kiki said:For sake of argument, let me define a point as a mathematical entity that occupies no space. Then, how can one hypothetically construct space, through addition of points, when each point contributes no space? Because adding points together consists of merely adding nothing to nothing, the most basic unit of space cannot be a point.
Do you agree or disagree with this? Why?
Constructing space without points refers to the idea that space can be defined and understood without relying on individual points or coordinates. This approach is often used in mathematics and physics to describe the properties of space and its relationship to objects and forces.
Being able to construct space without points allows for a more abstract and general understanding of space. It also allows for the exploration of different mathematical and physical theories that may not rely on traditional point-based models.
Space can be constructed without points using different mathematical and physical frameworks, such as non-Euclidean geometry or quantum mechanics. These frameworks use alternative methods, such as vector spaces or wave functions, to describe and understand the properties of space.
No, there is still ongoing debate and disagreement among scientists about the most accurate and useful way to construct and understand space. Some may argue that points are necessary for a complete understanding, while others may argue that alternative frameworks are more effective.
Constructing space without points has many potential applications in fields such as physics, mathematics, and computer science. It can provide new insights and solutions for complex problems, as well as help to develop new technologies and theories.