Combining Philosophers

All the ideas for Philodemus, Hans-Johann Glock and Gerhard Gentzen

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


12 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 / 2. History of Logic
Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
The logical connectives are 'defined' by their introduction rules [Gentzen]
Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
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]
14. Science / C. Induction / 3. Limits of Induction
From the fact that some men die, we cannot infer that they all do [Philodemus]
18. Thought / D. Concepts / 4. Structure of Concepts / h. Family resemblance
The variety of uses of 'game' may be that it has several meanings, and isn't a single concept [Glock]
We might say that the family resemblance is just a consequence of meaning-as-use [Glock]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Don't fear god or worry about death; the good is easily got and the terrible easily cured [Philodemus]