Combining Texts

All the ideas for 'Logicism Revisited', 'Reality is Not What it Seems' and 'The Character of Physical Law'

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26 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
15970 People generalise because it is easier to understand, and that is mistaken for deep philosophy [Feynman]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
10061 The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
10065 Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
10049 Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
10050 A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
20457 Zeno assumes collecting an infinity of things makes an infinite thing [Rovelli]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
10058 No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
10062 Formalism seems to exclude all creative, growing mathematics [Musgrave]
10063 Formalism is a bulwark of logical positivism [Musgrave]
7. Existence / B. Change in Existence / 2. Processes
20468 Quantum mechanics deals with processes, rather than with things [Rovelli]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
20467 Quantum mechanics describes the world entirely as events [Rovelli]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
10060 Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
20469 There are probably no infinities, and 'infinite' names what we do not yet know [Rovelli]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
20461 The basic ideas of fields and particles are merged in quantum mechanics [Rovelli]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
9410 Physical Laws are rhythms and patterns in nature, revealed by analysis [Feynman]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
20462 Because it is quantised, a field behaves like a set of packets of energy [Rovelli]
20463 There are about fifteen particles fields, plus a few force fields [Rovelli]
20464 The world consists of quantum fields, with elementary events happening in spacetime [Rovelli]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
20459 Electrons only exist when they interact, and their being is their combination of quantum leaps [Rovelli]
20460 Electrons are not waves, because their collisions are at a point, and not spread out [Rovelli]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
20466 Quantum Theory describes events and possible interactions - not how things are [Rovelli]
18530 Nobody understands quantum mechanics [Feynman]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
20465 Nature has three aspects: granularity, indeterminacy, and relations [Rovelli]
27. Natural Reality / C. Space / 3. Points in Space
17707 We should regard space as made up of many tiny pieces [Feynman, by Mares]
27. Natural Reality / C. Space / 4. Substantival Space
20458 The world is just particles plus fields; space is the gravitational field [Rovelli]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
20470 Only heat distinguishes past from future [Rovelli]