Find counter arguments by entering NameVs… or …VsName.
| Disputed term/author/ism | Author Vs Author |
Entry |
Reference |
|---|---|---|---|
| Operationalism | Field Vs Operationalism | III 3 Nominalism/Field: I use some means which the nominalist rejects: E.g. finitism and operationalism reject the way in which I formulate physical theories: FieldVsFinitism/FieldVsOperationalism: I will say that between two points (E.g. of a light beam) there is always a third point (FinitismVsField). The objections (VsField) stem from considerations that have nothing to do with the nature of the physical entities. Physics/Field: I make strong assumptions about the nature and structure of physical objects (also about subatomic particles). Also about postulated unobservables. ((s) In return, he avoids strong assumptions about the mathematics that deals with it). III 36 Region/Field: do we need it together with the sp.z. points? Not necessarily, we can quantify on any small open region instead of on points. That’s still nominalistic. But we must not do without points. III 37 Finitism/Field: the purist desire to make do without points is a quasi-finitistic one, not nominalistic. FieldVsFinitism. Region/Field: reverse question: can nominalism have something against regions? Is there a problem with them? III 114 Solution: Individuals Calculus/Goodman/Field: if we accept Goodman’s individuals calculus, there is no problem with regions: we simply regard them as sums of points. Then, namely with the introduction of points, the concept of region is simultaneously introduced (as the sum of points). Empty Region/Individuals Calculus/Sum/Goodman/Field: it then also follows that there can be no empty region. III 37 Region/Goodman/Field: (as sum) does not need not be connected or measurable. There are very "unnatural" collections of points that can count as regions. Point/Field: even without individuals calculus entities can be assumed that can be regarded as a "sum" of points. Then points can be seen as a special case of the regions (very small ones). That’s nominalistically acceptable. |
Field I H. Field Realism, Mathematics and Modality Oxford New York 1989 Field II H. Field Truth and the Absence of Fact Oxford New York 2001 Field III H. Field Science without numbers Princeton New Jersey 1980 Field IV Hartry Field "Realism and Relativism", The Journal of Philosophy, 76 (1982), pp. 553-67 In Theories of Truth, Paul Horwich Aldershot 1994 |
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