Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'Mechanisms' and 'A Universe from Nothing'

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17 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
     Full Idea: The Axiom of Reducibility is self-effacing: if it is true, the ramification it is meant to cope with was pointless to begin with.
     From: Willard Quine (Introduction to Russell's Theory of Types [1967], p.152), quoted by Penelope Maddy - Naturalism in Mathematics I.1
     A reaction: Maddy says the rejection of Reducibility collapsed the ramified theory of types into the simple theory.
7. Existence / C. Structure of Existence / 2. Reduction
An understanding of the most basic physics should explain all of the subject's mysteries [Krauss]
     Full Idea: Once we understood the fundamental laws that govern forces of nature at its smallest scales, all of these current mysteries would be revealed as natural consequences of these laws.
     From: Lawrence M. Krauss (A Universe from Nothing [2012], 08)
     A reaction: This expresses the reductionist view within physics itself. Krauss says the discovery that empty space itself contains energy has led to a revision of this view (because that is not part of the forces and particles studied in basic physics).
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
In 1676 it was discovered that water is teeming with life [Krauss]
     Full Idea: Van Leeuwenhoek first stared at a drop of seemingly empty water with a microscope in 1676 and discovered in was teeming with life.
     From: Lawrence M. Krauss (A Universe from Nothing [2012], 04)
     A reaction: I am convinced that this had a huge influence on Leibniz's concept of monads. He immediately became convinced that it was some sort of life all the way down. He would be have been disappointed by the subsequent chemical reduction of life.
14. Science / B. Scientific Theories / 2. Aim of Science
Empiricist theories are sets of laws, which give explanations and reductions [Glennan]
     Full Idea: In the empiricist tradition theories were understood to be deductive closures of sets of laws, explanations were understood as arguments from covering laws, and reduction was understood as a deductive relationship between laws of different theories.
     From: Stuart Glennan (Mechanisms [2008], 'Intro')
     A reaction: A lovely crisp summary of the whole tradition of philosophy of science from Comte through to Hempel. Mechanism and essentialism are the new players in the game.
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Modern mechanism need parts with spatial, temporal and function facts, and diagrams [Glennan]
     Full Idea: Modern champions of mechanisms say models should identify both the parts and their spatial, temporal and functional organisation, ...and the practical importance of diagrams in addition to or in place of linguistic representations of mechanisms.
     From: Stuart Glennan (Mechanisms [2008], 'Discover')
     A reaction: Apparently chemists obtain much more refined models by using mathematics than they did by diagrams or 3D models (let alone verbal descriptions). For that reason, I'm thinking that 'model' might be a better term than 'mechanism'.
Mechanistic philosophy of science is an alternative to the empiricist law-based tradition [Glennan]
     Full Idea: To a significant degree, a mechanistic philosophy of science can be seen as an alternative to an earlier logical empiricist tradition in philosophy of science that gave pride of place to laws of nature.
     From: Stuart Glennan (Mechanisms [2008], 'Intro')
     A reaction: Lovely! Someone who actually spells out what's going on here. Most philosophers are far too coy about explaining what their real game is. Mechanism is fine in chemistry and biology. How about in 'mathematical' physics, or sociology?
Mechanisms are either systems of parts or sequences of activities [Glennan]
     Full Idea: There are two sorts of mechanisms: systems consist of collections of parts that interact to produce some behaviour, and processes are sequences of activities which produce some outcome.
     From: Stuart Glennan (Mechanisms [2008], 'Intro')
     A reaction: [compressed] The second one is important because it is more generic, and under that account all kinds the features of the world that need to be explained can be subsumed. E.g. hyperinflation in an economy is a 'mechanism'.
17th century mechanists explained everything by the kinetic physical fundamentals [Glennan]
     Full Idea: 17th century mechanists said that interactions governed by chemical, electrical or gravitational forces would have to be explicable in terms of the operation of some atomistic (or corpuscular) kinetic mechanism.
     From: Stuart Glennan (Mechanisms [2008], 'Intro')
     A reaction: Glennan says science has rejected this, so modern mechanists do not reduce mechanisms to anything in particular.
Unlike the lawlike approach, mechanistic explanation can allow for exceptions [Glennan]
     Full Idea: One of the advantages of the move from nomological to mechanistic modes of explanation is that the latter allows for explanations involving exception-ridden generalizations.
     From: Stuart Glennan (Mechanisms [2008], 'regular')
     A reaction: The lawlike approach has endless problems with 'ceteris paribus' ('all things being equal') laws, where specifying all the other 'things' seems a bit tricky.
26. Natural Theory / C. Causation / 4. Naturalised causation
Since causal events are related by mechanisms, causation can be analysed in that way [Glennan]
     Full Idea: Causation can be analyzed in terms of mechanisms because (except for fundamental causal interactions) causally related events will be connected by intervening mechanisms.
     From: Stuart Glennan (Mechanisms [2008], 'causation')
     A reaction: This won't give us the metaphysics of causation (which concerns the fundamentals), but this strikes me as a very coherent and interesting proposal. He mentions electron interaction as non-mechanistic causation.
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
Space itself can expand (and separate its contents) at faster than light speeds [Krauss]
     Full Idea: Special Relativity says nothing can travel 'through space' faster than the speed of light. But space itself can do whatever the heck it wants, at least in general relativity. And it can carry distant objects apart from one another at superluminal speeds
     From: Lawrence M. Krauss (A Universe from Nothing [2012], 06)
     A reaction: Another of my misunderstandings corrected. I assumed that the event horizon (limit of observability) was defined by the stuff retreating at (max) light speed. But beyond that it retreats even faster! What about the photons in space?
27. Natural Reality / B. Modern Physics / 1. Relativity / b. General relativity
General Relativity: the density of energy and matter determines curvature and gravity [Krauss]
     Full Idea: The left-hand side of the general relativity equations descrbe the curvature of the universe, and the strength of gravitational forces acting on matter and radiation. The right-hand sides reflect the total density of all kinds of energy and matter.
     From: Lawrence M. Krauss (A Universe from Nothing [2012], 04)
     A reaction: I had assumed that the equations just described the geometry. In fact the matter determines the nature of the universe in which it exists. Presumably only things with mass get a vote.
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
Uncertainty says that energy can be very high over very short time periods [Krauss]
     Full Idea: The Heisenberg Uncertainty Principle says that the uncertainty in the measured energy of a system is inversely proportional to the length of time over which you observe it. (This allow near infinite energy over very short times).
     From: Lawrence M. Krauss (A Universe from Nothing [2012], 04)
     A reaction: Apparently this brief energy is 'borrowed', and must be quickly repaid.
27. Natural Reality / B. Modern Physics / 4. Standard Model / e. Protons
Most of the mass of a proton is the energy in virtual particles (rather than the quarks) [Krauss]
     Full Idea: The quarks provide very little of the total mass of a proton, and the fields created by the virtual particles contribute most of the energy that goes into the proton's rest energy and, hence, its mass.
     From: Lawrence M. Krauss (A Universe from Nothing [2012], 04)
     A reaction: He gives an artist's impression of the interior of a proton, which looks like a ship's engine room.
27. Natural Reality / C. Space / 2. Space
Empty space contains a continual flux of brief virtual particles [Krauss]
     Full Idea: Empty space is complicated. It is a boiling brew of virtual particles that pop in and out of existence in a time so short we cannot see them directly.
     From: Lawrence M. Krauss (A Universe from Nothing [2012], 10)
     A reaction: Apparently the interior of a proton is also like this. This fact gives a foot in the door for explanations of how the Big Bang got started, from these virtual particles. And yet surely space itself only arrives with the Big Bang?
27. Natural Reality / E. Cosmology / 3. The Beginning
The universe is precisely 13.72 billion years old [Krauss]
     Full Idea: We now know the age of the universe to four significant figures. It is 13.72 billion years old!
     From: Lawrence M. Krauss (A Universe from Nothing [2012], 05)
     A reaction: It amazes me how many people, especially in philosophy, would be reluctant to accept that this is a know fact. I'm not accepting its certainty, but an assertion like this from a leading figure is good enough for me, and it should be for you.
27. Natural Reality / E. Cosmology / 10. Multiverse
It seems likely that cosmic inflation is eternal, and this would make a multiverse inevitable [Krauss]
     Full Idea: A multiverse is inevitable if inflation is eternal, and eternal inflation is by far the most likely possibility in most, if not all, inflationary scenarios.
     From: Lawrence M. Krauss (A Universe from Nothing [2012], 08)