unlimiteds

There is no need to introduce Pythagoras into the story (Huffman 1999). Philolaus 'metaphysics of limiters and unlimiteds is perfectly intelligible as a response to the problems raised in the tradition of Presocratic metaphysics (see 2.1 above) and was not a gift either of Prometheus or Pythagoras.

Philolaus Huffman, Carl 2008

If the cosmos and everything in it is put together from limiters and unlimiteds, we ought to be able to identify some of them.

Philolaus Huffman, Carl 2008

Similarly the cosmos and the individual things in the cosmos do not arise by a chance combination of limiters and unlimiteds; the limiters and unlimiteds must be fitted together in a pleasing way in accordance with number for an order to arise.

Philolaus Huffman, Carl 2008

He is emphatic here and argues further in Fr. 3, evidently against some of his predecessors, that the basic elements cannot be simply unlimiteds.

Philolaus Huffman, Carl 2008

On the other hand, he clearly thinks that we can recognize limiters and unlimiteds in the world around us and repeatedly appeals to this fact.

Philolaus Huffman, Carl 2008

Breath can be equated with air as a typical Presocratic stuff, but time and the void show that we must expand Philolaus 'conception of unlimiteds beyond stuffs.

Philolaus Huffman, Carl 2008

Already in Fragment 1, Philolaus appealed not just to limiters and unlimiteds in order to explain the world but asserted that the cosmos as a whole and everything in it only arose when limiters and unlimiteds were “harmonized” or “fitted together.”

Philolaus Huffman, Carl 2008

Since the world around us manifestly contains some things that limit, some that are unlimited and others that are both limiting and unlimited, we must suppose that the elements from which the world arose included both limiters and unlimiteds (Fr. 2).

Philolaus Huffman, Carl 2008

We can only go so far as to say that they must have included limiters and unlimiteds in order for the world we see around us to have arisen.

Philolaus Huffman, Carl 2008

Limiters and unlimiteds are not combined in a haphazard way but are subject to a

Philolaus Huffman, Carl 2008