Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Introduction to 'Absolute Generality'' and 'Scientific Objectivity'

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15 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
One view says objectivity is making a successful claim which captures the facts [Reiss/Sprenger]
     Full Idea: One conception of objectivity is that the facts are 'out there', and it is the task of scientists to discover, analyze and sytematize them. 'Objective' is a success word: if a claim is objective, it successfully captures some feature of the world.
     From: Reiss,J/Spreger,J (Scientific Objectivity [2014], 2)
     A reaction: This seems to describe truth, rather than objectivity. You can establish accurate facts by subjective means. You can be fairly objective but miss the facts. Objectivity is a mode of thought, not a link to reality.
An absolute scientific picture of reality must not involve sense experience, which is perspectival [Reiss/Sprenger]
     Full Idea: Sense experience is necessarily perspectival, so to the extent to which scientific theories are to track the absolute conception [of reality], they must describe a world different from sense experience.
     From: Reiss,J/Spreger,J (Scientific Objectivity [2014], 2.3)
     A reaction: This is a beautifully simple and interesting point. Even when you are looking at a tree, to grasp its full reality you probably need to close your eyes (which is bad news for artists).
Topic and application involve values, but can evidence and theory choice avoid them? [Reiss/Sprenger]
     Full Idea: There may be values involved in the choice of a research problem, the gathering of evidence, the acceptance of a theory, and the application of results. ...The first and fourth do involve values, but what of the second and third?
     From: Reiss,J/Spreger,J (Scientific Objectivity [2014], 3.1)
     A reaction: [compressed] My own view is that the danger of hidden distorting values has to be recognised, but it is then possible, by honest self-criticism, to reduce them to near zero. Sociological enquiry is different, of course.
The Value-Free Ideal in science avoids contextual values, but embraces epistemic values [Reiss/Sprenger]
     Full Idea: According to the Value-Free Ideal, scientific objectivity is characterised by absence of contextual values and by exclusive commitment to epistemic values in scientific reasoning.
     From: Reiss,J/Spreger,J (Scientific Objectivity [2014], 3.1)
     A reaction: This seems appealing, because it concedes that we cannot be value-free, without suggesting that we are unavoidably swamped by values. The obvious question is whether the two types of value can be sharply distinguished.
Value-free science needs impartial evaluation, theories asserting facts, and right motivation [Reiss/Sprenger]
     Full Idea: Three components of value-free science are Impartiality (appraising theories only by epistemic scientific standards), Neutrality (the theories make no value statements), and Autonomy (the theory is motivated only by science).
     From: Reiss,J/Spreger,J (Scientific Objectivity [2014], 3.3)
     A reaction: [They are summarising Hugh Lacey, 1999, 2002] I'm not sure why the third criterion matters, if the first two are met. If a tobacco company commissions research on cigarettes, that doesn't necessarily make the findings false or prejudiced.
Thermometers depend on the substance used, and none of them are perfect [Reiss/Sprenger]
     Full Idea: Thermometers assume the length of the fluid or gas is a function of temperature, and different substances yield different results. It was decided that different thermometers using the same substance should match, and air was the best, but not perfect.
     From: Reiss,J/Spreger,J (Scientific Objectivity [2014], 4.1)
     A reaction: [summarising Hasok Chang's research] This is a salutary warning that instruments do not necessarily solve the problem of objectivity, though thermometers do seem to be impersonal, and offer relative accuracy (i.e. ranking temperatures). Cf breathalysers.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
The two best understood conceptions of set are the Iterative and the Limitation of Size [Rayo/Uzquiano]
     Full Idea: The two best understood conceptions of set are the Iterative Conception and the Limitation of Size Conception.
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.2)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / m. Axiom of Separation
Some set theories give up Separation in exchange for a universal set [Rayo/Uzquiano]
     Full Idea: There are set theories that countenance exceptions to the Principle of Separation in exchange for a universal set.
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.2)
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]
     Full Idea: The possibility of unrestricted quantification does not immediately presuppose the existence of an all-inclusive domain. One could deny an all-inclusive domain but grant that some quantifications are sometimes unrestricted.
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.1)
     A reaction: Thus you can quantify over anything you like, but only from what is available. Eat what you like (in this restaurant).
Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]
     Full Idea: There are doubts about whether absolute generality is possible, if there are certain concepts which are indefinitely extensible, lacking definite extensions, and yielding an ever more inclusive hierarchy. Sets and ordinals are paradigm cases.
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.1)
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]
     Full Idea: If one thought of second-order quantification as quantification over first-level Fregean concepts [note: one under which only objects fall], talk of domains might be regimented as talk of first-level concepts, which are not objects.
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.2)
     A reaction: That is (I take it), don't quantify over objects, but quantify over concepts, but only those under which known objects fall. One might thus achieve naïve comprehension without paradoxes. Sound like fun.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
14. Science / A. Basis of Science / 3. Experiment
The 'experimenter's regress' says success needs reliability, which is only tested by success [Reiss/Sprenger]
     Full Idea: The 'experimenter's regress' says that to know whether a result is correct, one needs to know whether the apparatus is reliable. But one doesn't know whether the apparatus is reliable unless one knows that it produces correct results ...and so on.
     From: Reiss,J/Spreger,J (Scientific Objectivity [2014], 2.3)
     A reaction: [H. Collins (1985), a sociologist] I take this to be a case of the triumphant discovery of a vicious circle which destroys all knowledge turning out to be a benign circle. We build up a coherent relationship between reliable results and good apparatus.
14. Science / C. Induction / 6. Bayes's Theorem
The Bayesian approach is explicitly subjective about probabilities [Reiss/Sprenger]
     Full Idea: The Bayesian approach is outspokenly subjective: probability is used for quantifying a scientist's subjective degree of belief in a particular hypothesis. ...It just provides sound rules for learning from experience.
     From: Reiss,J/Spreger,J (Scientific Objectivity [2014], 4.2)
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano]
     Full Idea: We generally take an assertion's domain of discourse to be implicitly restricted by context. [Note: the standard approach is that this restriction is a semantic phenomenon, but Kent Bach (2000) argues that it is a pragmatic phenomenon]
     From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.1)
     A reaction: I think Kent Bach is very very right about this. Follow any conversation, and ask what the domain is at any moment. The reference of a word like 'they' can drift across things, with no semantics to guide us, but only clues from context and common sense.