Combining Texts

All the ideas for 'fragments/reports', 'A New Kind of Science' and 'The Architecture of Theories'

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7 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.
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Physical and psychical laws of mind are either independent, or derived in one or other direction [Peirce]
     Full Idea: The question about minds is whether 1) physical and psychical laws are independent (monism, my neutralism), 2) the psychical laws derived and physical laws primordial (materialism), 3) physical law is derived, psychical law primordial (idealism).
     From: Charles Sanders Peirce (The Architecture of Theories [1891], p.321)
     A reaction: I think you are already in trouble when you start proposing that there are two quite distinct sets of laws, and then worry about how they are related. Assume unity, and only separate them when the science forces you to (which it won't).
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
     Full Idea: Archelaus was the first person to say that the universe is boundless.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
The world is full of variety, but laws seem to produce uniformity [Peirce]
     Full Idea: Exact law obviously never can produce heterogeneity out of homogeneity; and arbitrary heterogeneity is the feature of the universe the most manifest and characteristic.
     From: Charles Sanders Peirce (The Architecture of Theories [1891], p.319)
     A reaction: This is the view of laws of nature now associated with Nancy Cartwright, but presumably you can explain the apparent chaos in terms of the intersection of vast numbers of 'laws'. Or, better, there aren't any laws.
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 / G. Biology / 3. Evolution
Darwinian evolution is chance, with the destruction of bad results [Peirce]
     Full Idea: Darwinian evolution is evolution by the operation of chance, and the destruction of bad results.
     From: Charles Sanders Peirce (The Architecture of Theories [1891], p.320)
     A reaction: The 'destruction of bad results' is a much better slogan for Darwin that Spencer's 'survival of the fittest'. It is, of course, a rather unattractive God who makes progress by endlessly destroying huge quantities of failed (but living) experiments.
Archelaus said life began in a primeval slime [Archelaus, by Schofield]
     Full Idea: Archelaus wrote that life on Earth began in a primeval slime.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus
     A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea.