Combining Philosophers

All the ideas for Hans Reichenbach, Thoralf Skolem and Roy Ellen

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14 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
Contextual values are acceptable in research, but not in its final evaluation [Reichenbach, by Reiss/Sprenger]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Skolem did not believe in the existence of uncountable sets [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
7. Existence / E. Categories / 1. Categories
Monothetic categories have fixed defining features, and polythetic categories do not [Ellen]
In symbolic classification, the categories are linked to rules [Ellen]
7. Existence / E. Categories / 2. Categorisation
Several words may label a category; one word can name several categories; some categories lack words [Ellen]
7. Existence / E. Categories / 5. Category Anti-Realism
Continuous experience sometimes needs imposition of boundaries to create categories [Ellen]
12. Knowledge Sources / B. Perception / 5. Interpretation
Kant showed that our perceptions are partly constructed from our concepts [Reichenbach]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Classification is no longer held to be rooted in social institutions [Ellen]
26. Natural Theory / C. Causation / 5. Direction of causation
A theory of causal relations yields an asymmetry which defines the direction of time [Reichenbach, by Salmon]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
The direction of time is grounded in the direction of causation [Reichenbach, by Ladyman/Ross]