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Tahafut_al-Tahafut-transl-Engl-van-den-Bergh

a book on philosophy

a book on philosophy

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I say:

possible that the world might be bigger or smaller than it is

by a cubit, this is not the same as regarding it as possible to

identify black with white and existence with non-existence;

impossibility lies in affirming the negative and the positive at

the same time, and all impossibilities amount to this. This is

indeed a silly and faulty assertion.’

This statement is, as he says, an affront to reason, but only to the

reason of him who judges superficially; it is not an affront to true reason,

for a statement about its being possible or not’ requires a proof. And

therefore he is right when he declares that this is not impossible in the way

in which the assumption that black might be white is impossible, for the

impossibility of the latter is self-evident. The statement, however, that the

world could not be smaller or larger than it is is not self-evident. And

although all impossibilities can be reduced to self-evident impossibilities,

this reduction can take place in two ways. The first is that the impossibility

is self-evident; the second is that there follows sooner or later from its

supposition an impossibility of the same character as that of self-evident

impossibilities.’ For instance, if it is assumed that the world might be larger

or smaller than it is, it follows that outside it there would be occupied or

empty space. And from the supposition that there is outside it occupied or

empty space, some of the greatest impossibilities follow: from empty

space the existence of mere extension existing by itself; from occupied

space a body moving either upward or downward or in a circle which

therefore must be part of another world. Now it has been proved in the

science of physics that the existence of another world at the same time as

this is an impossibility and the most unlikely consequence would be that

the world should have empty space: for any world must needs have four

elements and a spherical body revolving round them. He who wants to

ascertain this should look up the places where its exposition is demandedthis,

of course, after having fulfilled the preliminary conditions necessary

for the student to understand strict proof .

Then Ghazali mentions the second reason:

If the world is in the state it is, without the possibility of

being larger or smaller than it is, then its existence, as it is, is

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