Combining Texts

All the ideas for 'The Roots of Reference', 'Leibniz:Body,Substance,Monad' and '11: Book of Kings 1'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / n. Pi
He made a molten sea, which was ten cubits across, and thirty cubits round the edge [Anon (Kings)]
     Full Idea: And he made a molten sea, ten cubits from the one brim to the other; it was round all about, and his height was five cubits: and a line of cubits did compass it round about.
     From: Anon (Kings) (11: Book of Kings 1 [c.550 BCE], 7:23)
     A reaction: In the sixth century BCE, this appears to give 3 as the value of Pi, though perhaps it shouldn't be taken too literally!
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
Epicurean atomists say body is sensible, to distinguish it from space. [Garber]
     Full Idea: The Epicurean atomists also defined body in terms of the property of being sensible, in order to distinguish it from empty space, which is not sensible.
     From: Daniel Garber (Leibniz:Body,Substance,Monad [2009], 1)
     A reaction: This is a very illuminating bit of background, for those of us who have the knee-jerk reaction that monadology is barking mad.
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine]
     Full Idea: Each disposition, in my view, is a physical state or mechanism. ...In some cases nowadays we understand the physical details and set them forth explicitly in terms of the arrangement and interaction of small bodies. This replaces the old disposition.
     From: Willard Quine (The Roots of Reference [1990], p.11), quoted by Stephen Mumford - Dispositions 01.3
     A reaction: A challenge to the dispositions and powers view of nature, one which rests on the 'categorical' structural properties, rather than the 'hypothetical' dispositions. But can we define a mechanism without mentioning its powers?
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
Epicurean atoms are distinguished by their extreme hardness [Garber]
     Full Idea: In Epicurean atomism (of Cordemoy, for example) there is a world of basic things distinguished by virtue of their extreme hardness.
     From: Daniel Garber (Leibniz:Body,Substance,Monad [2009], 2)
     A reaction: Garber says that Leibniz espouses 'substantial atomism', which is different from this. Leibniz's atoms have active power, where these atoms just embody total resistance.