Combining Philosophers

All the ideas for William W. Tait, Stuart Hampshire and Victor Velarde-Mayol

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13 ideas

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]
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]
11. Knowledge Aims / C. Knowing Reality / 4. Solipsism
The Cogito demands a bridge to the world, and ends in isolating the ego [Velarde-Mayol]
12. Knowledge Sources / B. Perception / 3. Representation
The representation may not be a likeness [Velarde-Mayol]
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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
A man is a responsible agent to the extent he has an intention, and knows what he is doing [Hampshire]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
Find the essence by varying an object, to see what remains invariable [Velarde-Mayol]