Exact(7)
Then is a solution of (1.1) which has no extension to.
The answer is that such a point has no extension and so its length is zero.
A geometric point in ordinary spatial geometry is a just a particular spot in the space and has no extension.
For example, the theory consisting of the fact p and the pair of defaults (p ; (q & r) ∴ q) and (q ; ¬r ∴ ¬r) has no extension.
Our immediate experience cannot extend through time if time itself has no extension; if earlier and later stream-phases are experienced together, in the way Extensional models require, then it seems very plausible to suppose that these phases must both exist.
A discussion can be found in [ 22], and here we only mention the consequence of this theory, that the concept of class has no extension (based on the axioms of this system, there is no class of all classes, and therefore the problem has just been pushed back).
Similar(53)
The same goes for a set of two geometrical points: also two geometrical points together have no extension and hence have measure zero.
Since the consequence relation is defined by a fixed-point condition, there are default theories that have no extension at all, and other theories that have multiple, mutually inconsistent extensions.
At this point the pluralist who believes that Zeno's division completely divides objects into non-overlapping parts (see the next paragraph) could respond that the parts in fact have no extension, even though they exist.
By 20 wks of age, Media and CsA animals had no extension and exhibited hindlimb paralysis.
In addition, 4 of 5 patients who had had extensor lag preoperatively had no extension deficit at the latest follow-up evaluation.
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