Extinction
A chart describes tendencies in a traditional system. It cannot decide health, money, law, marriage or children.
In the classical sources
五行皆以葬後之月而受氣者。以其死還復生。神氣不絕故也。
All five elements receive breath in the month after burial, because from death they return to life and their spirit does not break off.
五行大義 卷二
About this stage
絕 means cut off, and 三命提要 describes it as the empty womb, with nothing yet in the ground and no form to see. The same line gives two other names, 受气, receiving breath, and 脆, fragile. In that old count it is the first of all twelve stages, so the position the word labels is the threshold before anything starts.
五行大義 supplies the reason the cycle does not stop here: each element takes in breath in the month after its burial and so comes back without a gap. At this position a stem has no hold on the branch, and it is the place where something new gets its first breath: 申 for 甲, 亥 for 丙, 寅 for 庚, 巳 for 壬. 三命通會 lists it among the four dislikes, and in the same passage says low placings like this are not to be read as bad at a glance.
Where this text comes from
The order of the twelve stages follows 五行大義 volume 2 and 三命通會 volume 2 on Wikisource. The calculator uses that order for wood, fire, metal and water. Works disagree about earth.
The English name follows common modern usage. The wording here is our own plain summary.