Combining Texts

All the ideas for 'Reportatio', 'A New Kind of Science' and 'Two treatises'

unexpand these ideas     |    start again     |     specify just one area for these texts


6 ideas

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.
9. Objects / C. Structure of Objects / 4. Quantity of an Object
Quantity is the capacity to be divided [Digby]
     Full Idea: Quantity …is divisibility, or a capacity to be divided into parts.
     From: Kenelm Digby (Two treatises [1644], I.2.8), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 04.1
     A reaction: 'Quantity' is scholastic philosophy is a concept we no longer possess. Without quantity, a thing might potentially exist at a spaceless point. Quantity is what spreads things out. See Pasnau Ch. 4.
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
Colours arise from the rarity, density and mixture of matter [Digby]
     Full Idea: The origin of all colours in bodies is plainly deduced out of the various degrees of rarity and density, variously mixed and compounded.
     From: Kenelm Digby (Two treatises [1644], I.29.4), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 22.5
     A reaction: We are still struggling with this question, though I think the picture is gradually become clear, once you get the hang of the brain. Easy! See Idea 17396.
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.
28. God / A. Divine Nature / 3. Divine Perfections
God is not wise, but more-than-wise; God is not good, but more-than-good [William of Ockham]
     Full Idea: God is not wise, but more-than-wise; God is not good, but more-than-good.
     From: William of Ockham (Reportatio [1330], III Q viii)
     A reaction: [He is quoting 'Damascene'] I quote this for interest, but I very much doubt whether Damascene or William knew what it meant, and I certainly don't. There seems to have been a politically correct desire to invent super-powers for God.
28. God / C. Attitudes to God / 4. God Reflects Humanity
We could never form a concept of God's wisdom if we couldn't abstract it from creatures [William of Ockham]
     Full Idea: What we abstract is said to belong to perfection in so far as it can be predicated of God and can stand for Him. For if such a concept could not be abstracted from a creature, then in this life we could not arrive at a cognition of God's wisdom.
     From: William of Ockham (Reportatio [1330], III Q viii)
     A reaction: This seems to be the germ of an important argument. Without the ability to abstract from what is experienced, we would not be able to apply general concepts to things which are beyond experience. It is a key idea for empiricism.