Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Counting and the Natural Numbers' and 'The Strangest Man'

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8 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the most general attempt to make sense of things [Moore,AW]
     Full Idea: Metaphysics is the most general attempt to make sense of things.
     From: A.W. Moore (The Evolution of Modern Metaphysics [2012], Intro)
     A reaction: This is the first sentence of Moore's book, and a touchstone idea all the way through. It stands up well, because it says enough without committing to too much. I have to agree with it. It implies explanation as the key. I like generality too.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The essence of natural numbers must reflect all the functions they perform [Sicha]
     Full Idea: What is really essential to being a natural number is what is common to the natural numbers in all the functions they perform.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2)
     A reaction: I could try using natural numbers as insults. 'You despicable seven!' 'How dare you!' I actually agree. The question about functions is always 'what is it about this thing that enables it to perform this function'.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]
     Full Idea: A knowledge of 'how many' cannot be inferred from the equinumerosity of two collections; a numerical quantifier statement is needed.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 3)
Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]
     Full Idea: Counting is the activity of putting an initial segment of a serially ordered string in 1-1 correspondence with some other collection of entities.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2)
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
     Full Idea: Appearances in general are nothing outside our representations, which is just what we mean by transcendental ideality.
     From: A.W. Moore (The Evolution of Modern Metaphysics [2012], B535/A507)
27. Natural Reality / A. Classical Physics / 1. Mechanics / d. Gravity
Instead of gravitational force, we now have a pervasive gravitational field [Farmelo]
     Full Idea: Physics replaced the notion that bodies exert gravitational force on each other by the more effective picture that the bodies in the universe give rise to a pervasive gravitational field which exerts a force on each particle.
     From: Graham Farmelo (The Strangest Man [2009], 08)
     A reaction: This still uses the word 'force'. I sometimes get the impression that gravity is the curvature of space, but gravity needs more. Which direction along the curvature are particles attracted? The bottom line is the power of the bodies.
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
The Schrödinger waves are just the maths of transforming energy values to positions [Farmelo]
     Full Idea: Dirac showed that the Schrödinger waves were simply the mathematical quantities involved in transforming the description of a quantum based on its energy values to one based on possible values of its position.
     From: Graham Farmelo (The Strangest Man [2009], 08)
     A reaction: Does this eliminate actual physical 'waves' from the theory?
27. Natural Reality / B. Modern Physics / 4. Standard Model / c. Particle properties
Experiments show that fundamental particles of one type are identical [Farmelo]
     Full Idea: It is an established experimental fact ...that every single fundamental particle in the universe is the same and identical to all other particles of the same type.
     From: Graham Farmelo (The Strangest Man [2009], 07)
     A reaction: A loud groan is heard from the tomb of Leibniz. I'm unclear how experiments can establish this. If electrons have internal structure (which is not ruled out) then uniformity is highly unlikely.