Causal Relations
There are two types of causal relations between points and in the manifold .
- chronologically precedes (often denoted ) if there exists a future-directed chronological (timelike) curve from to .
- causally precedes (often denoted or ) if there exists a future-directed causal (non-spacelike) curve from to or .
- strictly causally precedes (often denoted ) if there exists a future-directed causal (non-spacelike) curve from to .
- horismos (often denoted or ) if and .
These relations are transitive:
- , implies
- , implies
and satisfy
- implies (this follows trivially from the definition)
- , implies
- , implies
Read more about this topic: Causal Structure, Introduction
Other articles related to "causal relations, causal relation":
Problem Of Induction - Formulation of The Problem - David Hume
... First, Hume ponders the discovery of causal relations, which form the basis for what he refers to as "matters of fact." He argues that causal relations are found not by reason, but by induction ... about the cause instead, one must observe occurrences of the causal relation to discover that it holds ... In general, it is not necessary that causal relation in the future resemble causal relations in the past, as it is always conceivable otherwise for Hume, this is because the negation of the claim does not lead ...
... First, Hume ponders the discovery of causal relations, which form the basis for what he refers to as "matters of fact." He argues that causal relations are found not by reason, but by induction ... about the cause instead, one must observe occurrences of the causal relation to discover that it holds ... In general, it is not necessary that causal relation in the future resemble causal relations in the past, as it is always conceivable otherwise for Hume, this is because the negation of the claim does not lead ...
Famous quotes containing the words relations and/or causal:
“Happy will that house be in which the relations are formed from character; after the highest, and not after the lowest order; the house in which character marries, and not confusion and a miscellany of unavowable motives.”
—Ralph Waldo Emerson (1803–1882)
“There is the illusion of time, which is very deep; who has disposed of it? Mor come to the conviction that what seems the succession of thought is only the distribution of wholes into causal series.”
—Ralph Waldo Emerson (1803–1882)