Philosophy Dictionary of Arguments

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Review: A scientific review is a summary and analysis of research on a particular topic, written by an expert in the field to help other scientists stay up-to-date and identify new research directions. See also Science, Confirmation, Verification, Discourse, Progress, Knowledge, Certainty, Experiments, Method.
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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

 
Author Concept Summary/Quotes Sources

Gerhard Schurz on Review - Dictionary of Arguments

I 128
Verification/strict case/Mill/Schurz: (not statistical): consists of two activities:
1. method of agreement: truth/falsity, verification/falsification.
2. method of difference: relevance/irrelevance.
>Relevance
, >Truth, >Verification, >Falsification.
1st Method of matching/Mill: A sample, "experimental group".
I 129
This is a selection of individuals from a range for which just the property A is valid and not an arbitrary property, Ex "All ravens are black" should not be compared with nails, flowers, and gorillas.
2nd Method of difference/mill: to check the relevance, one chooses an A control sample (control group) to which also A applies.
Representativeness/strict case/Mill/Schurz: the A sample should represent the A individuals in the population as well as possible.
I 130
Falsifying individuals should differ from verifying ones in some qualitative property.
Now, if we vary the accompanying circumstances as much as possible, we maximize our chance of finding falsifying individuals in the A sample (sufficient reason).
>Sufficiency.
Principle of sufficient reason/Leibniz: had considered this as metaphysical necessity.
>Necessity, >Essence, >Essentialism.
Principle of sufficient reason/SchurzVsLeibniz: but it is generally valid only in deterministic universes. In indeterministic universes there are also random exceptions without any reason. However, the principle is heuristically useful.
Representativity/Popper: the representativity requirement belongs to the strict scrutiny so called by Popper: one should not examine the expansion under heat only on metals.
I 131
Methodical induction/law hypotheses//Schurz:
a) when testing a given strict hypothesis, one first tests for truth and then for relevance.
b) if one searches for an unknown cause or law hypothesis for a given effect, one proceeds in reverse.
I 134
Statistical case:
Check for presumptive truth/Statistics/Schurz: method of
Acceptance intervals: Ex law hypothesis: p(Kx I Ax) = 80 %.AG out of 100 trees examined, 75 were diseased.
How do you infer the plausibility of the population frequency hypothesis p(K I A) from the sampling frequency hn(K I A)? According to Fisher (1956)(1), one can calculate the statistical probability that the sampling frequency has a certain size, or lies in a certain size interval, given the hypothesis is true. This is based on the binomial distribution. (...).
I 137
Check for presumptive relevance/statistical/Schurz: A control group: in the simplest case, consists of individuals who do not have trait A.
I 141
Statistical representativeness/criterion/definition/Schurz: difference from strict case: now the representativeness requirement says not only that the accompanying circumstances should vary as much as possible, but more specifically that all other relevant factors in the A sample should be distributed as equally as possible in frequency. Bsp factors other than car exhaust that make trees sick, e.g., pest infestations.
Representativeness/definition: if all relevant characteristics in the sample are equally distributed as in the population. The assumption that this is the case is of course based on induction and cannot be guaranteed by any method.
Criterion: to make this possible at all, it must be ensured that the criterion of representativeness is obtained independently of the definition of representativeness. Or rather, its fulfillment must be able to be guaranteed independently of the inductive generalization step.
Solution: the criteria are derived from the method of sample generation.
Method: most important: random sampling. The probability distribution of deviation from the population is then statistically calculable. Random selection implies universal accessibility.
narrow random selection: completely blind.
wide: with equal chances of getting into the selection.
I 175
Testing/Schurz: a theoretical hypothesis can be tested against not just one, but as many as possible equally plausible indicators.
I 176
Indicator: for each one, it is necessary to check whether and which hidden variables are introduced by it.


1. Fisher, R.A. (1956). Statistical Methods and Scientific Inference. New York: Hafner Press, (New edition Oxford Univ. Press, 1995).

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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Schu I
G. Schurz
Einführung in die Wissenschaftstheorie Darmstadt 2006


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Ed. Martin Schulz, access date 2024-04-18
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