Combining Philosophers

All the ideas for Vittorio H��sle, Oliver,A/Smiley,T and Terry Pinkard

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


17 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
Wolff's version of Leibniz dominated mid-18th C German thought [Pinkard]
Romantics explored beautiful subjectivity, and the re-enchantment of nature [Pinkard]
The combination of Kant and the French Revolution was an excited focus for German philosophy [Pinkard]
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / d. Nineteenth century philosophy
In Hegel's time naturalism was called 'Spinozism' [Pinkard]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Early Romantics sought a plurality of systems, in a quest for freedom [Hösle]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
The empty set is something, not nothing! [Oliver/Smiley]
We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
Idealism is the link between reason and freedom [Pinkard]
25. Social Practice / E. Policies / 5. Education / d. Study of history
In the 18th century history came to be seen as progressive, rather than cyclical [Hösle]