Combining Philosophers

All the ideas for Reiss,J/Spreger,J, Armand Marie LeRoi and Gerhard Gentzen

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15 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
The Pre-Socratics are not simple naturalists, because they do not always 'leave the gods out' [Leroi]
2. Reason / A. Nature of Reason / 5. Objectivity
One view says objectivity is making a successful claim which captures the facts [Reiss/Sprenger]
An absolute scientific picture of reality must not involve sense experience, which is perspectival [Reiss/Sprenger]
Topic and application involve values, but can evidence and theory choice avoid them? [Reiss/Sprenger]
The Value-Free Ideal in science avoids contextual values, but embraces epistemic values [Reiss/Sprenger]
Value-free science needs impartial evaluation, theories asserting facts, and right motivation [Reiss/Sprenger]
Thermometers depend on the substance used, and none of them are perfect [Reiss/Sprenger]
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]
14. Science / A. Basis of Science / 3. Experiment
The 'experimenter's regress' says success needs reliability, which is only tested by success [Reiss/Sprenger]
14. Science / C. Induction / 6. Bayes's Theorem
The Bayesian approach is explicitly subjective about probabilities [Reiss/Sprenger]