structure for 'Natural Theory'    |     alphabetical list of themes    |     expand these ideas

26. Natural Theory / B. Concepts of Nature / 3. Space / c. Points in space

[the minimal units that make up space]

12 ideas
Whitehead replaced points with extended regions [Whitehead, by Quine]
Space is the extension of 'point', and aggregates of points seem necessary for geometry [Russell]
The concept of a 'point' makes no sense without the idea of absolute position [Quine]
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]
We should regard space as made up of many tiny pieces [Feynman, by Mares]
Why should the limit of measurement be points, not intervals? [Dummett]
Rationalists see points as fundamental, but empiricists prefer regions [Benardete,JA]
In theories of fields, space-time points or regions are causal agents [Field,H]
Points are limits of parts of space, so parts of space cannot be aggregates of them [Lowe]
Surfaces, lines and points are not, strictly speaking, parts of space, but 'limits', which are abstract [Lowe]
Maybe space has points, but processes always need regions with a size [Mares]
Cantor proved that three dimensions have the same number of points as one dimension [Clegg]