to coincide unless they are moved out of
this space. The right hand and the left hand are in fact completely
congruent. It is quite irrelevant that they cannot be made to coincide.
A right-hand glove could be put on the left hand, if it could be turned
round in four-dimensional space.

6.362 What can be described can happen too: and what the law of
causality is meant to exclude cannot even be described.

6.363 The procedure of induction consists in accepting as true the
simplest law that can be reconciled with our experiences.

6.3631 This procedure, however, has no logical justification but only a
psychological one. It is clear that there are no grounds for believing
that the simplest eventuality will in fact be realized.

6.36311 It is an hypothesis that the sun will rise tomorrow: and this
means that we do not know whether it will rise.

6.37 There is no compulsion making one thing happen because another has
happened. The only necessity that exists is logical necessity.

6.371 The whole modern conception of the world is founded on the
illusion that the so-called laws of nature are the explanations of
natural phenomena.

6.372 Thus people today stop at the laws of nature, treating them as
something inviolable, just as God and Fate were treated in past ages.
And in fact both are right and both wrong: though the view of the
ancients is clearer in so far as they have a clear and acknowledged
terminus, while the modern system tries to make it look as if everything
were explained.

6.373 The world is independent of my will.

6.374 Even if all that we wish for were to happen, still this would
only be a favour granted by fate, so to speak: for there is no logical
connexion between the will and the world, which would guarantee it, and
the supposed physical connexion itself is surely not something that we
could will.

6.375 Just as the only necessity that exists is logical necessity, so
too the only impossibility that exists is logical impossibility.

6.3751 For example, the simultaneous presence of two colours at the same
place in the visual field is impossible, in fact logically impossible,
since it is ruled out by the logical structure of colour. Let us think
how this contradiction appears in physics: more or less as follows--a
particle cannot have two velocities at the same time; that is to say, it
cannot be in two places at the same time; that is to say, particles that
are in different