The problem of the finitude of dimensions has been discussed by Islamic philosophers in “Physics”. However, since the finitude and infinitude are among the essential occurrings of magnitude, which itself is the subject matter of geometry, it seems that the problem should be classified among the geometrical problems instead of physical ones. In their works Islamic philosophers have discussed this problem as the problem of the “finitude of bodies”, and if we recall that “body” has two meanings in Islamic philosophy, the natural or physical body and the mathematical one, we can dissolve this problem by stating that what has been discussed in physics is the finitude or infinitude of the body in the first meaning and what has been discussed in geometry is the finitude or infinitude of body in the second meaning. In other words, the finitude of dimensions has been discussed in geometry in an absolute way, while physics has discussed the finitude of the dimensions as far as they relate to matter, and then the proofs of the finitude of dimensions in the general science of geometry have been transferred to the special science of physics.
Hejri, S. (2010). Is the Problem of the Finitude of Dimensions Related to Geometry or Physics?. Journal for the History of Science, 8(1), 111-127.
MLA
Sajjad Hejri. "Is the Problem of the Finitude of Dimensions Related to Geometry or Physics?", Journal for the History of Science, 8, 1, 2010, 111-127.
HARVARD
Hejri, S. (2010). 'Is the Problem of the Finitude of Dimensions Related to Geometry or Physics?', Journal for the History of Science, 8(1), pp. 111-127.
VANCOUVER
Hejri, S. Is the Problem of the Finitude of Dimensions Related to Geometry or Physics?. Journal for the History of Science, 2010; 8(1): 111-127.
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