Combining Texts

Ideas for 'Parmenides', 'Walking the Tightrope of Reason' and 'Grundlagen der Arithmetik (Foundations)'

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5 ideas

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
The unlimited has no shape and is endless [Plato]
     Full Idea: The unlimited partakes neither of the round nor of the straight, because it has no ends nor edges.
     From: Plato (Parmenides [c.364 BCE], 137e)
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
Some things do not partake of the One [Plato]
     Full Idea: The others cannot partake of the one in any way; they can neither partake of it nor of the whole.
     From: Plato (Parmenides [c.364 BCE], 159d)
     A reaction: Compare Idea 231
The only movement possible for the One is in space or in alteration [Plato]
     Full Idea: If the One moves it either moves spatially or it is altered, since these are the only motions.
     From: Plato (Parmenides [c.364 BCE], 138b)
Everything partakes of the One in some way [Plato]
     Full Idea: The others are not altogether deprived of the one, for they partake of it in some way.
     From: Plato (Parmenides [c.364 BCE], 157c)
     A reaction: Compare Idea 233.
26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical
The laws of number are not laws of nature, but are laws of the laws of nature [Frege]
     Full Idea: The laws of number are not applicable to external things, and are not laws of nature, but they are applicable to judgements of external things: they are laws of the laws of nature.
     From: Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884], §87)
     A reaction: We seem to be somewhere between pythagoreanism and 'the mind of God'. I feel fairly strongly that we are looking through the wrong end of the telescope here. The laws of nature 'emerge' from nature, and high-level abstractions emerge with them.