Combining Philosophers

All the ideas for Hermarchus, Michael Frede and William W. Tait

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20 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]
1. Philosophy / C. History of Philosophy / 3. Earlier European Philosophy / b. Early medieval philosophy
Earlier views of Aristotle were dominated by 'Categories' [Frede,M]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait]
2. Reason / A. Nature of Reason / 1. On Reason
The early philosophers thought that reason has its own needs and desires [Frede,M]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The null set was doubted, because numbering seemed to require 'units' [Tait]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
We can have a series with identical members [Tait]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C]
9. Objects / E. Objects over Time / 9. Ship of Theseus
Insurance on the original ship would hardly be paid out if the plank version was wrecked! [Frede,M]
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 Stoics needed free will, to allow human choices in a divinely providential cosmos [Frede,M]
The idea of free will achieved universal acceptance because of Christianity [Frede,M]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]
Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction may concern the individuation of the set itself, not its elements [Tait]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]
If abstraction produces power sets, their identity should imply identity of the originals [Tait]
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]
25. Social Practice / F. Life Issues / 6. Animal Rights
Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley]
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
The Gnostic demiurge (creator) is deluded, and doesn't care about us [Frede,M]