Combining Philosophers

All the ideas for William W. Tait, Gonzalo Rodriguez-Pereyra and Albert of Saxony

expand these ideas     |    start again     |     specify just one area for these philosophers


15 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]
7. Existence / A. Nature of Existence / 2. Types of Existence
Everything that exists is either a substance or an accident [Albert of Saxony]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Resemblance Nominalists say that resemblance explains properties (not the other way round) [Rodriquez-Pereyra]
Entities are truthmakers for their resemblances, so no extra entities or 'resemblances' are needed [Rodriquez-Pereyra]
9. Objects / E. Objects over Time / 6. Successive Things
God could make a successive thing so that previous parts cease to exist [Albert of Saxony]
Successive entities just need parts to succeed one another, without their existence [Albert of Saxony]
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]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
Elements are found last in dismantling bodies, and first in generating them [Albert of Saxony]