Imagine the world as an island of stoneβrigid, immutable, and cold. Every grain of sand represents a fact, a piece of Psychologie that science can measure and describe. This is the world of 'what is the case.' Yet, Wittgenstein reveals a startling boundary: Ethik does not exist inside this island. It is the very shoreline that defines the island's extent.
The Categorical Split (6.423)
Wittgenstein draws a line through the human will. On one side is the will as a phenomenonβthe subject of Psychologie. These are the biological urges and psychological states that science can study. On the other side is the will as the subject of the ethical. This latter will cannot be spoken of; it is not a part of the world, but its limit.
The Invariance of Facts (6.43)
A central paradox arises in Proposition 6.43: Good or bad willing does not change the 'what' of the world. If it rains, it rains for both the saint and the sinner. The logical structure remains invariant. Instead, the ethical will changes the die Grenzen (the limits). The world wax or wanes as a whole.
"Die Welt des GlΓΌcklichen ist eine andere als die des UnglΓΌcklichen."
The happy man (der GlΓΌckliche) and the unhappy man (der UnglΓΌckliche) may face the same physical data, yet they live in entirely different totalities. For one, the world is a limited whole that is accepted; for the other, it is a world that has failed.