Combining Texts

All the ideas for 'Logicism and Ontological Commits. of Arithmetic', 'The Guide of the Perplexed' and 'Physics and Philosophy'

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29 ideas

3. Truth / F. Semantic Truth / 2. Semantic Truth
Truth in a model is more tractable than the general notion of truth [Hodes]
Truth is quite different in interpreted set theory and in the skeleton of its language [Hodes]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Higher-order logic may be unintelligible, but it isn't set theory [Hodes]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Identity is a level one relation with a second-order definition [Hodes]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Mathematics is higher-order modal logic [Hodes]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic must allow for the possibility of only a finite total of objects [Hodes]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
It is claimed that numbers are objects which essentially represent cardinality quantifiers [Hodes]
Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
If it can't be expressed mathematically, it can't occur in nature? [Heisenberg]
7. Existence / D. Theories of Reality / 2. Realism
Quantum theory shows that exact science does not need dogmatic realism [Heisenberg]
7. Existence / D. Theories of Reality / 4. Anti-realism
Quantum theory does not introduce minds into atomic events [Heisenberg]
7. Existence / D. Theories of Reality / 7. Fictionalism
Talk of mirror images is 'encoded fictions' about real facts [Hodes]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
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
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
Basic particles have a mathematical form, which is more important than their substance [Heisenberg]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
We give a mathematical account of a system of natural connections in order to clarify them [Heisenberg]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Seven theories in science: mechanics, heat, electricity, quantum, particles, relativity, life [Heisenberg, by PG]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
Energy is that which moves, and is the substance from which everything is made [Heisenberg]
Energy is an unchanging substance, having many forms, and causing all change [Heisenberg]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
Maxwell introduced real fields, which transferred forces from point to point [Heisenberg]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
Radiation interference needs waves, but radiation photoelectric effects needs particles [Heisenberg]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
An atom's stability after collisions needs explaining (which Newton's mechanics can't do) [Heisenberg]
Position is complementary to velocity or momentum, so the whole system is indeterminate [Heisenberg]
It was formerly assumed that electromagnetic waves could not be a reality in themselves [Heisenberg]
27. Natural Reality / C. Space / 4. Substantival Space
So-called 'empty' space is the carrier of geometry and kinematics [Heisenberg]
27. Natural Reality / D. Time / 3. Parts of Time / e. Present moment
In relativity the length of the 'present moment' is relative to distance from the observer [Heisenberg]
28. God / A. Divine Nature / 2. Divine Nature
We can approach knowledge of God by negative attributes [Maimonides]
28. God / C. Attitudes to God / 4. God Reflects Humanity
Thinking of God as resembling humans results from a bad translation of Genesis 1:26 [Maimonides]