Combining Philosophers

All the ideas for Reiss,J/Spreger,J, Johanna Seibt and Giuseppe Peano

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18 ideas

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]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
7. Existence / B. Change in Existence / 2. Processes
Process philosophy places the dynamic nature of being at the centre of our theories [Seibt]
Reductionists identify processes by their 'owner', but tornadoes etc. are processes without owners [Seibt]
Traditionally small things add up to processes, but quantum mechanics reverses this [Seibt]
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]