contest problem book viii

But if there are different principles, one difficulty is whether these also will be imperishable or perishable.
Plato and the Pythagoreans thought being and unity were nothing else, but this was their nature, their essence handbook of mortgage backed securities being just unity and being.
Further, with regard to the same and other and like and unlike and contrariety, and with regard to prior and posterior and all other such terms about which the dialecticians try to inquire, starting their investigation from probable premises only,-whose business is it to inquire.
For the principle or cause must exist alongside of the things of which it is the principle, and must be capable of existing in separation from them; but for what reason should we suppose any such thing to exist alongside of the individual, except that.Whether it is possible at the same time to assert and deny one and the same thing or not, and all other such questions; and (3) if the science in question deals with substance, whether one science deals with all substances, or more than one.The same thing may have all the kinds of causes,.g.But yet so far at least he alone speaks consistently; for he does not make some things perishable and others imperishable, but makes all perishable except the elements.Further, if generation and movement exist there must also be a limit; for no movement is infinite, but every movement has an end, and that which is incapable of completing its coming to be cannot be in process of coming to be; and that which.



And (8) we must inquire and discuss especially whether there is, besides the matter, any thing that is a cause in itself or not, and whether this can exist apart or not, and whether it is one or more in number, and whether there.
5) Further, does our investigation deal with substances alone or also with their attributes?
Again, the intermediate kinds, in whose nature the differentiae are included, will on this theory be genera, down to the indivisible species; but as it is, some are thought to be genera and others are not thought to.
Part 5 " 14) A question connected with these is whether numbers and bodies and planes and points are substances of a kind, or not.
The problems, which range from relatively straightforward calculations to fiendishly difficult problems that require considerable ingenuity to solve, draw upon algebra, geometry, trigonometry, number theory, combinatorics, probability, and logic.If then it belongs to every science alike, and cannot belong to all, it is not peculiar to the science which investigates substances, any more than to any other science, to know about these topics.-And, at the same time, in what way can there.We have already said why this result follows if unity is not a substance; and if it is, the same difficulty arises as arose with regard to being.And at the same time Empedocles mentions no cause of the change itself, except that things are so by nature.However, you will not find the solutions useful if you are not familiar with the theorems used in solving the problems.10) One difficulty which is as great as any has been neglected both by modern philosophers and by their predecessors-whether the principles of perishable and those of imperishable things are the same or different.But this is impossible, whether the process has a limit or proceeds to infinity.For whether unity is not a substance or there is a unity-itself, number cannot be a substance.But, on the other hand, the body is surely less of a substance than the surface, and the surface than the line, and the line than the unit and the point.