All the ideas for George Engelbretsen, R Kaplan / E Kaplan and Werner Heisenberg

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38 ideas

3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
 18915 If facts are the truthmakers, they are not in the world [Engelbretsen]
 18919 There are no 'falsifying' facts, only an absence of truthmakers [Engelbretsen]
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
 18913 Traditional term logic struggled to express relations [Engelbretsen]
4. Formal Logic / A. Syllogistic Logic / 3. Term Logic
 18907 Term logic rests on negated terms or denial, and that propositions are tied pairs [Engelbretsen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
 15717 Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
 18912 Was logic a branch of mathematics, or mathematics a branch of logic? [Engelbretsen]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
 18922 Logical syntax is actually close to surface linguistic form [Engelbretsen]
 18905 Propositions can be analysed as pairs of terms glued together by predication [Engelbretsen]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
 18908 Standard logic only negates sentences, even via negated general terms or predicates [Engelbretsen]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
 15712 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
 15711 The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
 15714 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
 15715 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
 17536 If it can't be expressed mathematically, it can't occur in nature? [Heisenberg]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
 18917 Existence and nonexistence are characteristics of the world, not of objects [Engelbretsen]
7. Existence / D. Theories of Reality / 1. Realism
 17545 Quantum theory shows that exact science does not need dogmatic realism [Heisenberg]
7. Existence / D. Theories of Reality / 3. Anti-realism
 17538 Quantum theory does not introduce minds into atomic events [Heisenberg]
7. Existence / D. Theories of Reality / 7. Facts / a. Facts
 18916 Facts are not in the world - they are properties of the world [Engelbretsen]
7. Existence / E. Categories / 4. Category Realism
 18921 Individuals are arranged in inclusion categories that match our semantics [Engelbretsen]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
 17534 A 'probability wave' is a quantitative version of Aristotle's potential, a mid-way type of reality [Heisenberg]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
 17553 We can retain the idea of 'substance', as indestructible mass or energy [Heisenberg]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
 17544 Basic particles have a mathematical form, which is more important than their substance [Heisenberg]
14. Science / C. Induction / 3. Limits of Induction
 15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
 17550 We give a mathematical account of a system of natural connections in order to clarify them [Heisenberg]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
 6552 You can only explain the qualities of large objects using entities which lack those qualities [Heisenberg]
19. Language / B. Reference / 2. Denoting
 18918 Terms denote objects with properties, and statements denote the world with that property [Engelbretsen]
19. Language / D. Propositions / 1. Propositions
 18920 'Socrates is wise' denotes a sentence; 'that Socrates is wise' denotes a proposition [Engelbretsen]
19. Language / F. Communication / 3. Denial
 18906 Negating a predicate term and denying its unnegated version are quite different [Engelbretsen]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
 17549 Seven theories in science: mechanics, heat, electricity, quantum, particles, relativity, life [Heisenberg, by PG]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
 17540 Energy is that which moves, and is the substance from which everything is made [Heisenberg]
 17541 Energy is an unchanging substance, having many forms, and causing all change [Heisenberg]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
 17548 Maxwell introduced real fields, which transferred forces from point to point [Heisenberg]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
 17533 Radiation interference needs waves, but radiation photoelectric effects needs particles [Heisenberg]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
 17532 An atom's stability after collisions needs explaining (which Newton's mechanics can't do) [Heisenberg]
 17537 Position is complementary to velocity or momentum, so the whole system is indeterminate [Heisenberg]
 17551 It was formerly assumed that electromagnetic waves could not be a reality in themselves [Heisenberg]
27. Natural Reality / C. Space / 4. Substantival Space
 17543 So-called 'empty' space is the carrier of geometry and kinematics [Heisenberg]
27. Natural Reality / D. Time / 3. Parts of Time / e. Present moment
 17552 In relativity the length of the 'present moment' is relative to distance from the observer [Heisenberg]