Combining Philosophers

All the ideas for Numenius, Anaximander and Stephen Wolfram

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11 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
Anaximander produced the first philosophy book (and maybe the first book) [Anaximander, by Bodnár]
     Full Idea: Anaximander was the first to produce a philosophical book (later conventionally titled 'On Nature'), if not the first to produce a book at all.
     From: report of Anaximander (fragments/reports [c.570 BCE]) by István Bodnár - Anaximander
     A reaction: Wow! Presumably there were Egyptian 'books', but this still sounds like a stupendous claim to fame.
2. Reason / B. Laws of Thought / 2. Sufficient Reason
The earth is stationary, because it is in the centre, and has no more reason to move one way than another [Anaximander, by Aristotle]
     Full Idea: Something which is established in the centre and has equality in relation to the extremes has no more reason to move up than it has down or to the sides (so the earth is stationary)
     From: report of Anaximander (fragments/reports [c.570 BCE], A26) by Aristotle - On the Heavens 295b11
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
At one level maths and nature are very similar, suggesting some deeper origin [Wolfram]
     Full Idea: At some rather abstract level one can immediately recognise one basic similarity between nature and mathematics ...this suggests that the overall similarity between mathematics and nature must have a deeper origin.
     From: Stephen Wolfram (A New Kind of Science [2002], p.772), quoted by Peter Watson - Convergence 17 'Philosophy'
     A reaction: Personally I think mathematics has been derived by abstracting from the patterns in nature, and then further extrapolating from those abstractions. So the puzzle in nature is not the correspondence with mathematics, but the patterns.
7. Existence / A. Nature of Existence / 1. Nature of Existence
Anaximander saw the contradiction in the world - that its own qualities destroy it [Anaximander, by Nietzsche]
     Full Idea: Anaximander discovers the contradictory character of our world: it perishes from its own qualities.
     From: report of Anaximander (fragments/reports [c.570 BCE]) by Friedrich Nietzsche - Unpublished Notebooks 1872-74 19 [239]
     A reaction: A lovely gloss on Anaximander, though I am not sure that I understand what Nietzsche means.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
The Boundless cannot exist on its own, and must have something contrary to it [Aristotle on Anaximander]
     Full Idea: Those thinkers are in error who postulate ...a single matter, for this cannot exist without some 'perceptible contrariety': this Boundless, which they identify with the 'original real', must be either light or heavy, either hot or cold.
     From: comment on Anaximander (fragments/reports [c.570 BCE]) by Aristotle - Coming-to-be and Passing-away (Gen/Corr) 329a10
     A reaction: A dubious objection, I would say. If there has to be a contrasting cold thing to any hot thing, what happens when the cold thing is removed?
Anaximander introduced the idea that the first principle and element of things was the Boundless [Anaximander, by Simplicius]
     Full Idea: Anaximander said that the first principle and element of existing things was the boundless; it was he who originally introduced this name for the first principle.
     From: report of Anaximander (fragments/reports [c.570 BCE], A09) by Simplicius - On Aristotle's 'Physics' 9.24.14-
     A reaction: Simplicius is quoting Theophrastus
Things begin and end in the Unlimited, and are balanced over time according to justice [Anaximander]
     Full Idea: The non-limited is the original material of existing things; their source is also that to which they return after destruction, according to necessity; they give justice and make reparation to each other for injustice, according to the arrangement of Time.
     From: Anaximander (fragments/reports [c.570 BCE], B1), quoted by Simplicius - On Aristotle's 'Physics' 24.13-
     A reaction: Simplicius is quoting Theophrastus
The essential nature, whatever it is, of the non-limited is everlasting and ageless [Anaximander]
     Full Idea: The essential nature, whatever it is, of the non-limited is everlasting and ageless.
     From: Anaximander (fragments/reports [c.570 BCE], B2), quoted by (who?) - where?
27. Natural Reality / C. Space / 4. Substantival Space
Space and its contents seem to be one stuff - so space is the only existing thing [Wolfram]
     Full Idea: It seems plausible that both space and its contents should somehow be made of the same stuff - so that in a sense space becomes the only thing in the universe.
     From: Stephen Wolfram (A New Kind of Science [2002], p.474), quoted by Peter Watson - Convergence 17 'Philosophy'
     A reaction: I presume the concept of a 'field' is what makes this idea possible.
27. Natural Reality / E. Cosmology / 2. Eternal Universe
The parts of all things are susceptible to change, but the whole is unchangeable [Anaximander, by Diog. Laertius]
     Full Idea: The parts of all things are susceptible to change, but the whole is unchangeable.
     From: report of Anaximander (fragments/reports [c.570 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.An.2
28. God / A. Divine Nature / 1. God
There is a remote first god (the Good), and a second god who organises the material world [Numenius, by O'Meara]
     Full Idea: Numenius argues that material reality depends on intelligible being, which depends on a first god - the Good - which is difficult to grasp, but which inspires a second god to imitate it, turning to matter and organizing it as the world.
     From: report of Numenius (fragments/reports [c.160]) by Dominic J. O'Meara - Numenius
     A reaction: The interaction problem comes either between the two gods, or between the second god and the world. The argument may have failed to catch on for long when people scented an infinite regress lurking in the middle of it.