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All the ideas for 'Logicism Revisited', 'A Free Will' and 'Substance'

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29 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / e. Late classical philosophy
In the third century Stoicism died out, replaced by Platonism, with Aristotelian ethics [Frede,M]
In late antiquity nearly all philosophers were monotheists [Frede,M]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
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
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
8. Modes of Existence / A. Relations / 4. Formal Relations / c. Ancestral relation
An ancestral relation is either direct or transitively indirect [Wiggins]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
Substances contain a source of change or principle of activity [Wiggins]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
We never single out just 'this', but always 'this something-or-other' [Wiggins]
Sortal predications are answers to the question 'what is x?' [Wiggins]
A river may change constantly, but not in respect of being a river [Wiggins]
Sortal classification becomes science, with cross reference clarifying individuals [Wiggins]
If the kinds are divided realistically, they fall into substances [Wiggins]
'Human being' is a better answer to 'what is it?' than 'poet', as the latter comes in degrees [Wiggins]
Secondary substances correctly divide primary substances by activity-principles and relations [Wiggins]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
We refer to persisting substances, in perception and in thought, and they aid understanding [Wiggins]
9. Objects / C. Structure of Objects / 3. Matter of an Object
Matter underlies things, composes things, and brings them to be [Wiggins]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
The category of substance is more important for epistemology than for ontology [Wiggins]
Naming the secondary substance provides a mass of general information [Wiggins]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Seeing a group of soldiers as an army is irresistible, in ontology and explanation [Wiggins]
16. Persons / F. Free Will / 2. Sources of Free Will
For Christians man has free will by creation in God's image (as in Genesis) [Frede,M]
The idea of free will achieved universal acceptance because of Christianity [Frede,M]
The Stoics needed free will, to allow human choices in a divinely providential cosmos [Frede,M]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
There is no will for Plato or Aristotle, because actions come directly from perception of what is good [Frede,M]
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
The Gnostic demiurge (creator) is deluded, and doesn't care about us [Frede,M]