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All the ideas for 'Second Philosophy', 'The Foundations of Mathematics' and 'The Metaphysics of Scientific Realism'

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34 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics aims at the simplest explanation, without regard to testability [Ellis]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
We can base logic on acceptability, and abandon the Fregean account by truth-preservation [Ellis]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Henkin semantics is more plausible for plural logic than for second-order logic [Maddy]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
5. Theory of Logic / L. Paradox / 1. Paradox
Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Mathematics is the formal study of the categorical dimensions of things [Ellis]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
7. Existence / B. Change in Existence / 2. Processes
Objects and substances are a subcategory of the natural kinds of processes [Ellis]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
A physical event is any change of distribution of energy [Ellis]
8. Modes of Existence / B. Properties / 5. Natural Properties
Physical properties are those relevant to how a physical system might act [Ellis]
8. Modes of Existence / B. Properties / 6. Categorical Properties
I support categorical properties, although most people only want causal powers [Ellis]
Essentialism needs categorical properties (spatiotemporal and numerical relations) and dispositions [Ellis]
Spatial, temporal and numerical relations have causal roles, without being causal [Ellis]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Properties and relations are discovered, so they can't be mere sets of individuals [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Causal powers can't rest on things which lack causal power [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Categoricals exist to influence powers. Such as structures, orientations and magnitudes [Ellis, by Williams,NE]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
Causal powers are a proper subset of the dispositional properties [Ellis]
9. Objects / C. Structure of Objects / 1. Structure of an Object
Categorical properties depend only on the structures they represent [Ellis]
9. Objects / D. Essence of Objects / 5. Essence as Kind
A real essence is a kind's distinctive properties [Ellis]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity holds between things in the world and things they make true [Ellis]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Metaphysical necessities are those depending on the essential nature of things [Ellis]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
I just confront the evidence, and let it act on me [Ramsey]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
14. Science / B. Scientific Theories / 2. Aim of Science
Science aims to explain things, not just describe them [Ellis]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
There are natural kinds of processes [Ellis]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
Natural kind structures go right down to the bottom level [Ellis]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
Laws of nature are just descriptions of how things are disposed to behave [Ellis]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
I deny forces as entities that intervene in causation, but are not themselves causal [Ellis]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
Energy is the key multi-valued property, vital to scientific realism [Ellis]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Simultaneity can be temporal equidistance from the Big Bang [Ellis]
27. Natural Reality / D. Time / 3. Parts of Time / e. Present moment
The present is the collapse of the light wavefront from the Big Bang [Ellis]