Combining Philosophers

All the ideas for Hans-Johann Glock, Dag Prawitz and Palle Yourgrau

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14 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analysis must include definitions, search for simples, concept analysis, and Kant's analysis [Glock]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is based on transitions between sentences [Prawitz]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence isn't a black box (Tarski's approach); we should explain how arguments work [Prawitz]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory looks at valid sentences and consequence, but not how we know these things [Prawitz]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
You can ask all sorts of numerical questions about any one given set [Yourgrau]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
German and British idealism is not about individual ideas, but the intelligibility of reality [Glock]
18. Thought / D. Concepts / 4. Structure of Concepts / h. Family resemblance
We might say that the family resemblance is just a consequence of meaning-as-use [Glock]
The variety of uses of 'game' may be that it has several meanings, and isn't a single concept [Glock]